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<h2 class="hd hd-2 unit-title">Deutsch-Jozsa algorithm - introduction and Deutsch's problem</h2>
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<h3 class="hd hd-2">Deutsch-Jozsa algorithm - introduction and Deutsch's problem</h3>
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<h2 class="hd hd-2 unit-title">CQ: Balanced and unbalanced one-bit functions</h2>
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Balanced and unbalanced one-bit functions
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<p>
This is a concept question, provided to double-check your understanding of the previous video clip. </p>
<p>
Consider the following four one-bit functions [mathjaxinline]f(x)[/mathjaxinline], which take one bit as input and output one bit. Correctly label each function as being balanced or unbalanced: </p>
<ul class="itemize">
<li>
<p>
<p style="display:inline">[mathjaxinline]f(x) = x[/mathjaxinline]:</p>
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<option value="option_u2_2_cq_djbal_2_1_dummy_default">Select an option</option>
<option value="balanced"> balanced</option>
<option value="UNbalanced"> UNbalanced</option>
</select>
<div class="indicator-container">
<span class="status unanswered" id="status_u2_2_cq_djbal_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
</div>
<p class="answer" id="answer_u2_2_cq_djbal_2_1"/>
</div></div>
</p>
</li>
<li>
<p>
<p style="display:inline">[mathjaxinline]f(x) = 0[/mathjaxinline]:</p>
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<option value="option_u2_2_cq_djbal_3_1_dummy_default">Select an option</option>
<option value="balanced"> balanced</option>
<option value="UNbalanced"> UNbalanced</option>
</select>
<div class="indicator-container">
<span class="status unanswered" id="status_u2_2_cq_djbal_3_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
</div>
<p class="answer" id="answer_u2_2_cq_djbal_3_1"/>
</div></div>
</p>
</li>
<li>
<p>
<p style="display:inline">[mathjaxinline]f(x) = 1-x[/mathjaxinline]:</p>
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<option value="option_u2_2_cq_djbal_4_1_dummy_default">Select an option</option>
<option value="balanced"> balanced</option>
<option value="UNbalanced"> UNbalanced</option>
</select>
<div class="indicator-container">
<span class="status unanswered" id="status_u2_2_cq_djbal_4_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
</div>
<p class="answer" id="answer_u2_2_cq_djbal_4_1"/>
</div></div>
</p>
</li>
<li>
<p>
<p style="display:inline">[mathjaxinline]f(x) = 1[/mathjaxinline]:</p>
<div class="inline" tabindex="-1" aria-label="Question 4" role="group"><div class="inputtype option-input inline">
<select name="input_u2_2_cq_djbal_5_1" id="input_u2_2_cq_djbal_5_1" aria-describedby="status_u2_2_cq_djbal_5_1">
<option value="option_u2_2_cq_djbal_5_1_dummy_default">Select an option</option>
<option value="balanced"> balanced</option>
<option value="UNbalanced"> UNbalanced</option>
</select>
<div class="indicator-container">
<span class="status unanswered" id="status_u2_2_cq_djbal_5_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
</div>
<p class="answer" id="answer_u2_2_cq_djbal_5_1"/>
</div></div>
</p>
</li>
</ul>
</div>
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{
String.prototype.trim = function()
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get_search_module();
var sterm = $('#site-search-box').val();
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new_url = search_module_url + "?q=" + sterm;
console.log("sterm = ", sterm, " ; going to ", new_url);
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return {'course_static_url': course_static_url,
'jump_to_url': jump_to_url,
'go_to_search': go_to_search,
'get_search_module': get_search_module,
'get_search_module_ficus': get_search_module_ficus,
'get': get,
}
}
var the_site_search = add_site_search();
var add_fix_transcript = function(){
if ($('div.wrap-instructor-info').length==0){
return;
}
$('div.xblock-student_view-video').each(function(key, vblock_e){
var vblock = $(vblock_e);
var vuid = vblock.data('usage-id').split('@');
var vid;
if (vuid.length==1){
vuid = vblock.data('usage-id').split(';_')
vid = vuid[5];
}else{
vid = vuid[2];
}
var mfnpre = vid.split("_video",1)[0];
var mfnid = mfnpre; // no periods
mfnpre = mfnpre.replace('8_370', '8.370'); // periods in gh filename
var lb = String.fromCharCode(60);
var rb = String.fromCharCode(62);
var mke = function(x){ return lb + x + rb; }
var ftid = "fix_transcript_" + mfnid;
if (!$('#' + ftid).length){
var html = lb + "span id='" + ftid + "' style='float:right'" + rb + lb + "a href='#'" + rb;
html += "contribute transcript fix" + mke("/a") + mke("/span");
console.log("html = ", html);
vblock.after(html)
}
$('#' + ftid).click(function(){
var cst = $('ol.subtitles').find('li.current');
var cindex = Number(cst.data('index'));
var gurl;
if (mfnpre.endsWith('_cq_sol')){
gurl = "https://github.com/mitocw/content-mit-8370x-cq-sol-subtitles/blob/master/";
}else{
gurl = "https://github.com/mitocw/content-mit-8370x-subtitles/blob/master/";
}
gurl += mfnpre + ".txt#L" + String(cindex + 10 + 1);
console.log("going to ", gurl);
window.open(gurl, "MITx 8.370x subtitle source");
});
});
}
try{
add_fix_transcript();
}
catch(err){
console.log(err);
}
try{
var rb = String.fromCharCode(62);
setTimeout(function(){ $('.math' + rb + 'span').css("border-left-color","transparent"); }, 3000);
setTimeout(function(){ $('.math' + rb + 'span').css("border-left-color","transparent"); }, 8000);
}
catch(err){
console.log(err);
}
</script></span>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+8.370.2x+1T2018" data-has-score="False" data-usage-id="block-v1:MITx+8.370.2x+1T2018+type@vertical+block@Quantum_and_classical_oracles" data-init="VerticalStudentView" data-graded="True" data-runtime-version="1" data-block-type="vertical" data-request-token="2254bb40383b11f0982f12f8c5a42579">
<h2 class="hd hd-2 unit-title">Quantum and classical oracles</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+8.370.2x+1T2018+type@video+block@U2L2b">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+8.370.2x+1T2018" data-has-score="False" data-usage-id="block-v1:MITx+8.370.2x+1T2018+type@video+block@U2L2b" data-init="XBlockToXModuleShim" data-graded="True" data-runtime-version="1" data-block-type="video" data-request-token="2254bb40383b11f0982f12f8c5a42579">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Quantum and classical oracles</h3>
<div
id="video_U2L2b"
class="video closed"
data-metadata='{"transcriptLanguage": "en", "recordedYoutubeIsAvailable": true, "completionPercentage": 0.95, "publishCompletionUrl": "/courses/course-v1:MITx+8.370.2x+1T2018/xblock/block-v1:MITx+8.370.2x+1T2018+type@video+block@U2L2b/handler/publish_completion", "autoplay": false, "streams": "1.00:ittpy7ZrE5U", "showCaptions": "true", "ytApiUrl": "https://www.youtube.com/iframe_api", "speed": null, "start": 0.0, "savedVideoPosition": 0.0, "transcriptLanguages": {"en": "English"}, "completionEnabled": false, "generalSpeed": 1.0, "autohideHtml5": false, "poster": null, "lmsRootURL": "https://openlearninglibrary.mit.edu", "captionDataDir": null, "end": 0.0, "sources": [], "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+8.370.2x+1T2018/xblock/block-v1:MITx+8.370.2x+1T2018+type@video+block@U2L2b/handler/transcript/available_translations", "saveStateUrl": "/courses/course-v1:MITx+8.370.2x+1T2018/xblock/block-v1:MITx+8.370.2x+1T2018+type@video+block@U2L2b/handler/xmodule_handler/save_user_state", "autoAdvance": false, "transcriptTranslationUrl": "/courses/course-v1:MITx+8.370.2x+1T2018/xblock/block-v1:MITx+8.370.2x+1T2018+type@video+block@U2L2b/handler/transcript/translation/__lang__", "prioritizeHls": false, "saveStateEnabled": false, "ytTestTimeout": 1500, "ytMetadataEndpoint": "", "duration": 0.0}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="U2L2b"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
</div>
</div>
</div>
<div class="vert vert-1" data-id="block-v1:MITx+8.370.2x+1T2018+type@html+block@site_search_box3">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+8.370.2x+1T2018" data-has-score="False" data-usage-id="block-v1:MITx+8.370.2x+1T2018+type@html+block@site_search_box3" data-init="XBlockToXModuleShim" data-graded="True" data-runtime-version="1" data-block-type="html" data-request-token="2254bb40383b11f0982f12f8c5a42579">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<span><a href="/asset-v1:MITx+8.370.2x+1T2018+type@asset+block/NONE" id="dummy_course_static_link" style="display:none"/><a href="/courses/course-v1:MITx+8.370.2x+1T2018/jump_to_id/NONE" id="dummy_jump_link" style="display:none"/><script type="text/javascript">
var add_site_search = function(){
course_static_url = $('#dummy_course_static_link').attr('href').replace('/NONE', '');
jump_to_url = $('#dummy_jump_link').attr('href').replace('/NONE', '');
if (typeof String.prototype.startsWith != 'function') {
// see below for better implementation!
String.prototype.startsWith = function (str){
return this.indexOf(str) === 0;
};
}
if(typeof(String.prototype.trim) === "undefined")
{
String.prototype.trim = function()
{
return String(this).replace(/^\s+|\s+$/g, '');
};
}
var lb = String.fromCharCode(60);
var rb = String.fromCharCode(62);
var amp = String.fromCharCode(38);
var rlb = rb + lb;
var mke = function(x){ return lb + x + rb; }
var search_module_url = "";
var get_search_module_ficus = function(){
var cid = $('div.xblock').data('course-id');
if (cid){
console.log("cid = ", cid);
// search_module_url = "/courses/course-v1:MITx+8.370.2x+1T2018/" + cid + "/courseware/welcome/Search_this_course/";
search_module_url = "/courses/course-v1:MITx+8.370.2x+1T2018/courseware/welcome/Search_this_course/"; // automatically rewritten
console.log("3. search_module_url = ", search_module_url);
return;
}
var course_root_link = $('span.nav-item-course').find('a').attr('href');
if (course_root_link){
console.log("course_root_link = ", course_root_link);
search_module_url = course_root_link.replace("course/", "courseware/welcome/Search_this_course/");
console.log("2. search_module_url = ", search_module_url);
return
}
console.log("cannot determine search module url");
}
var get_search_module = function(){
// find search this module link
if (!($('div.course-index').length)){
return get_search_module_ficus();
}
$('div.course-index').find('nav').find('a').each(function(){
if ($(this).text().trim().startsWith("Search this course")){
search_module_url = $(this).attr('href');
console.log("search_module_url = ", search_module_url);
}
});
}
var go_to_search = function(){
get_search_module();
var sterm = $('#site-search-box').val();
// new_url = jump_to_url + "/Search_this_module/?q=" + sterm;
new_url = search_module_url + "?q=" + sterm;
console.log("sterm = ", sterm, " ; going to ", new_url);
window.location.href = new_url;
}
if (!$('#site-search-box').length){
$("nav.courseware").find("ol").append(lb + "section style='float:right'" + rlb + "input size='20'"
+ " id='site-search-box'"
+ rlb + "img src='" + course_static_url
+ "/images_search_glass.png'/" + rlb + "/input" + rlb + "/section" + rb);
}
$("#site-search-box").keypress(function(event) {
if (event.which == 13) {
event.preventDefault();
go_to_search();
}
});
// $('#site-search-box').bind("enterKey", go_to_search);
var get = function(x){
return eval(x);
}
return {'course_static_url': course_static_url,
'jump_to_url': jump_to_url,
'go_to_search': go_to_search,
'get_search_module': get_search_module,
'get_search_module_ficus': get_search_module_ficus,
'get': get,
}
}
var the_site_search = add_site_search();
var add_fix_transcript = function(){
if ($('div.wrap-instructor-info').length==0){
return;
}
$('div.xblock-student_view-video').each(function(key, vblock_e){
var vblock = $(vblock_e);
var vuid = vblock.data('usage-id').split('@');
var vid;
if (vuid.length==1){
vuid = vblock.data('usage-id').split(';_')
vid = vuid[5];
}else{
vid = vuid[2];
}
var mfnpre = vid.split("_video",1)[0];
var mfnid = mfnpre; // no periods
mfnpre = mfnpre.replace('8_370', '8.370'); // periods in gh filename
var lb = String.fromCharCode(60);
var rb = String.fromCharCode(62);
var mke = function(x){ return lb + x + rb; }
var ftid = "fix_transcript_" + mfnid;
if (!$('#' + ftid).length){
var html = lb + "span id='" + ftid + "' style='float:right'" + rb + lb + "a href='#'" + rb;
html += "contribute transcript fix" + mke("/a") + mke("/span");
console.log("html = ", html);
vblock.after(html)
}
$('#' + ftid).click(function(){
var cst = $('ol.subtitles').find('li.current');
var cindex = Number(cst.data('index'));
var gurl;
if (mfnpre.endsWith('_cq_sol')){
gurl = "https://github.com/mitocw/content-mit-8370x-cq-sol-subtitles/blob/master/";
}else{
gurl = "https://github.com/mitocw/content-mit-8370x-subtitles/blob/master/";
}
gurl += mfnpre + ".txt#L" + String(cindex + 10 + 1);
console.log("going to ", gurl);
window.open(gurl, "MITx 8.370x subtitle source");
});
});
}
try{
add_fix_transcript();
}
catch(err){
console.log(err);
}
try{
var rb = String.fromCharCode(62);
setTimeout(function(){ $('.math' + rb + 'span').css("border-left-color","transparent"); }, 3000);
setTimeout(function(){ $('.math' + rb + 'span').css("border-left-color","transparent"); }, 8000);
}
catch(err){
console.log(err);
}
</script></span>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+8.370.2x+1T2018" data-has-score="False" data-usage-id="block-v1:MITx+8.370.2x+1T2018+type@vertical+block@The_Deutsch_algorithm_for_two-bit_functions" data-init="VerticalStudentView" data-graded="True" data-runtime-version="1" data-block-type="vertical" data-request-token="2254bb40383b11f0982f12f8c5a42579">
<h2 class="hd hd-2 unit-title">The Deutsch algorithm for two-bit functions</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+8.370.2x+1T2018+type@video+block@U2L2c">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+8.370.2x+1T2018" data-has-score="False" data-usage-id="block-v1:MITx+8.370.2x+1T2018+type@video+block@U2L2c" data-init="XBlockToXModuleShim" data-graded="True" data-runtime-version="1" data-block-type="video" data-request-token="2254bb40383b11f0982f12f8c5a42579">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">The Deutsch algorithm for two-bit functions</h3>
<div
id="video_U2L2c"
class="video closed"
data-metadata='{"transcriptLanguage": "en", "recordedYoutubeIsAvailable": true, "completionPercentage": 0.95, "publishCompletionUrl": "/courses/course-v1:MITx+8.370.2x+1T2018/xblock/block-v1:MITx+8.370.2x+1T2018+type@video+block@U2L2c/handler/publish_completion", "autoplay": false, "streams": "1.00:FGlsabD_fsc", "showCaptions": "true", "ytApiUrl": "https://www.youtube.com/iframe_api", "speed": null, "start": 0.0, "savedVideoPosition": 0.0, "transcriptLanguages": {"en": "English"}, "completionEnabled": false, "generalSpeed": 1.0, "autohideHtml5": false, "poster": null, "lmsRootURL": "https://openlearninglibrary.mit.edu", "captionDataDir": null, "end": 0.0, "sources": [], "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+8.370.2x+1T2018/xblock/block-v1:MITx+8.370.2x+1T2018+type@video+block@U2L2c/handler/transcript/available_translations", "saveStateUrl": "/courses/course-v1:MITx+8.370.2x+1T2018/xblock/block-v1:MITx+8.370.2x+1T2018+type@video+block@U2L2c/handler/xmodule_handler/save_user_state", "autoAdvance": false, "transcriptTranslationUrl": "/courses/course-v1:MITx+8.370.2x+1T2018/xblock/block-v1:MITx+8.370.2x+1T2018+type@video+block@U2L2c/handler/transcript/translation/__lang__", "prioritizeHls": false, "saveStateEnabled": false, "ytTestTimeout": 1500, "ytMetadataEndpoint": "", "duration": 0.0}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="U2L2c"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
</div>
</div>
</div>
<div class="vert vert-1" data-id="block-v1:MITx+8.370.2x+1T2018+type@html+block@site_search_box4">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+8.370.2x+1T2018" data-has-score="False" data-usage-id="block-v1:MITx+8.370.2x+1T2018+type@html+block@site_search_box4" data-init="XBlockToXModuleShim" data-graded="True" data-runtime-version="1" data-block-type="html" data-request-token="2254bb40383b11f0982f12f8c5a42579">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<span><a href="/asset-v1:MITx+8.370.2x+1T2018+type@asset+block/NONE" id="dummy_course_static_link" style="display:none"/><a href="/courses/course-v1:MITx+8.370.2x+1T2018/jump_to_id/NONE" id="dummy_jump_link" style="display:none"/><script type="text/javascript">
var add_site_search = function(){
course_static_url = $('#dummy_course_static_link').attr('href').replace('/NONE', '');
jump_to_url = $('#dummy_jump_link').attr('href').replace('/NONE', '');
if (typeof String.prototype.startsWith != 'function') {
// see below for better implementation!
String.prototype.startsWith = function (str){
return this.indexOf(str) === 0;
};
}
if(typeof(String.prototype.trim) === "undefined")
{
String.prototype.trim = function()
{
return String(this).replace(/^\s+|\s+$/g, '');
};
}
var lb = String.fromCharCode(60);
var rb = String.fromCharCode(62);
var amp = String.fromCharCode(38);
var rlb = rb + lb;
var mke = function(x){ return lb + x + rb; }
var search_module_url = "";
var get_search_module_ficus = function(){
var cid = $('div.xblock').data('course-id');
if (cid){
console.log("cid = ", cid);
// search_module_url = "/courses/course-v1:MITx+8.370.2x+1T2018/" + cid + "/courseware/welcome/Search_this_course/";
search_module_url = "/courses/course-v1:MITx+8.370.2x+1T2018/courseware/welcome/Search_this_course/"; // automatically rewritten
console.log("3. search_module_url = ", search_module_url);
return;
}
var course_root_link = $('span.nav-item-course').find('a').attr('href');
if (course_root_link){
console.log("course_root_link = ", course_root_link);
search_module_url = course_root_link.replace("course/", "courseware/welcome/Search_this_course/");
console.log("2. search_module_url = ", search_module_url);
return
}
console.log("cannot determine search module url");
}
var get_search_module = function(){
// find search this module link
if (!($('div.course-index').length)){
return get_search_module_ficus();
}
$('div.course-index').find('nav').find('a').each(function(){
if ($(this).text().trim().startsWith("Search this course")){
search_module_url = $(this).attr('href');
console.log("search_module_url = ", search_module_url);
}
});
}
var go_to_search = function(){
get_search_module();
var sterm = $('#site-search-box').val();
// new_url = jump_to_url + "/Search_this_module/?q=" + sterm;
new_url = search_module_url + "?q=" + sterm;
console.log("sterm = ", sterm, " ; going to ", new_url);
window.location.href = new_url;
}
if (!$('#site-search-box').length){
$("nav.courseware").find("ol").append(lb + "section style='float:right'" + rlb + "input size='20'"
+ " id='site-search-box'"
+ rlb + "img src='" + course_static_url
+ "/images_search_glass.png'/" + rlb + "/input" + rlb + "/section" + rb);
}
$("#site-search-box").keypress(function(event) {
if (event.which == 13) {
event.preventDefault();
go_to_search();
}
});
// $('#site-search-box').bind("enterKey", go_to_search);
var get = function(x){
return eval(x);
}
return {'course_static_url': course_static_url,
'jump_to_url': jump_to_url,
'go_to_search': go_to_search,
'get_search_module': get_search_module,
'get_search_module_ficus': get_search_module_ficus,
'get': get,
}
}
var the_site_search = add_site_search();
var add_fix_transcript = function(){
if ($('div.wrap-instructor-info').length==0){
return;
}
$('div.xblock-student_view-video').each(function(key, vblock_e){
var vblock = $(vblock_e);
var vuid = vblock.data('usage-id').split('@');
var vid;
if (vuid.length==1){
vuid = vblock.data('usage-id').split(';_')
vid = vuid[5];
}else{
vid = vuid[2];
}
var mfnpre = vid.split("_video",1)[0];
var mfnid = mfnpre; // no periods
mfnpre = mfnpre.replace('8_370', '8.370'); // periods in gh filename
var lb = String.fromCharCode(60);
var rb = String.fromCharCode(62);
var mke = function(x){ return lb + x + rb; }
var ftid = "fix_transcript_" + mfnid;
if (!$('#' + ftid).length){
var html = lb + "span id='" + ftid + "' style='float:right'" + rb + lb + "a href='#'" + rb;
html += "contribute transcript fix" + mke("/a") + mke("/span");
console.log("html = ", html);
vblock.after(html)
}
$('#' + ftid).click(function(){
var cst = $('ol.subtitles').find('li.current');
var cindex = Number(cst.data('index'));
var gurl;
if (mfnpre.endsWith('_cq_sol')){
gurl = "https://github.com/mitocw/content-mit-8370x-cq-sol-subtitles/blob/master/";
}else{
gurl = "https://github.com/mitocw/content-mit-8370x-subtitles/blob/master/";
}
gurl += mfnpre + ".txt#L" + String(cindex + 10 + 1);
console.log("going to ", gurl);
window.open(gurl, "MITx 8.370x subtitle source");
});
});
}
try{
add_fix_transcript();
}
catch(err){
console.log(err);
}
try{
var rb = String.fromCharCode(62);
setTimeout(function(){ $('.math' + rb + 'span').css("border-left-color","transparent"); }, 3000);
setTimeout(function(){ $('.math' + rb + 'span').css("border-left-color","transparent"); }, 8000);
}
catch(err){
console.log(err);
}
</script></span>
</div>
</div>
</div>
</div>
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String.prototype.startsWith = function (str){
return this.indexOf(str) === 0;
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var course_root_link = $('span.nav-item-course').find('a').attr('href');
if (course_root_link){
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if ($(this).text().trim().startsWith("Search this course")){
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$("nav.courseware").find("ol").append(lb + "section style='float:right'" + rlb + "input size='20'"
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$("#site-search-box").keypress(function(event) {
if (event.which == 13) {
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// $('#site-search-box').bind("enterKey", go_to_search);
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'jump_to_url': jump_to_url,
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'get': get,
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gurl += mfnpre + ".txt#L" + String(cindex + 10 + 1);
console.log("going to ", gurl);
window.open(gurl, "MITx 8.370x subtitle source");
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<div class="video-player">
<div id="U2L2e"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
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</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
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// see below for better implementation!
String.prototype.startsWith = function (str){
return this.indexOf(str) === 0;
};
}
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{
String.prototype.trim = function()
{
return String(this).replace(/^\s+|\s+$/g, '');
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var amp = String.fromCharCode(38);
var rlb = rb + lb;
var mke = function(x){ return lb + x + rb; }
var search_module_url = "";
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var cid = $('div.xblock').data('course-id');
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var course_root_link = $('span.nav-item-course').find('a').attr('href');
if (course_root_link){
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return
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if ($(this).text().trim().startsWith("Search this course")){
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console.log("search_module_url = ", search_module_url);
}
});
}
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get_search_module();
var sterm = $('#site-search-box').val();
// new_url = jump_to_url + "/Search_this_module/?q=" + sterm;
new_url = search_module_url + "?q=" + sterm;
console.log("sterm = ", sterm, " ; going to ", new_url);
window.location.href = new_url;
}
if (!$('#site-search-box').length){
$("nav.courseware").find("ol").append(lb + "section style='float:right'" + rlb + "input size='20'"
+ " id='site-search-box'"
+ rlb + "img src='" + course_static_url
+ "/images_search_glass.png'/" + rlb + "/input" + rlb + "/section" + rb);
}
$("#site-search-box").keypress(function(event) {
if (event.which == 13) {
event.preventDefault();
go_to_search();
}
});
// $('#site-search-box').bind("enterKey", go_to_search);
var get = function(x){
return eval(x);
}
return {'course_static_url': course_static_url,
'jump_to_url': jump_to_url,
'go_to_search': go_to_search,
'get_search_module': get_search_module,
'get_search_module_ficus': get_search_module_ficus,
'get': get,
}
}
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if ($('div.wrap-instructor-info').length==0){
return;
}
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var vblock = $(vblock_e);
var vuid = vblock.data('usage-id').split('@');
var vid;
if (vuid.length==1){
vuid = vblock.data('usage-id').split(';_')
vid = vuid[5];
}else{
vid = vuid[2];
}
var mfnpre = vid.split("_video",1)[0];
var mfnid = mfnpre; // no periods
mfnpre = mfnpre.replace('8_370', '8.370'); // periods in gh filename
var lb = String.fromCharCode(60);
var rb = String.fromCharCode(62);
var mke = function(x){ return lb + x + rb; }
var ftid = "fix_transcript_" + mfnid;
if (!$('#' + ftid).length){
var html = lb + "span id='" + ftid + "' style='float:right'" + rb + lb + "a href='#'" + rb;
html += "contribute transcript fix" + mke("/a") + mke("/span");
console.log("html = ", html);
vblock.after(html)
}
$('#' + ftid).click(function(){
var cst = $('ol.subtitles').find('li.current');
var cindex = Number(cst.data('index'));
var gurl;
if (mfnpre.endsWith('_cq_sol')){
gurl = "https://github.com/mitocw/content-mit-8370x-cq-sol-subtitles/blob/master/";
}else{
gurl = "https://github.com/mitocw/content-mit-8370x-subtitles/blob/master/";
}
gurl += mfnpre + ".txt#L" + String(cindex + 10 + 1);
console.log("going to ", gurl);
window.open(gurl, "MITx 8.370x subtitle source");
});
});
}
try{
add_fix_transcript();
}
catch(err){
console.log(err);
}
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var rb = String.fromCharCode(62);
setTimeout(function(){ $('.math' + rb + 'span').css("border-left-color","transparent"); }, 3000);
setTimeout(function(){ $('.math' + rb + 'span').css("border-left-color","transparent"); }, 8000);
}
catch(err){
console.log(err);
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Quantum speedup offered by the Deutsch-Jozsa algorithm
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Which of the following statement(s) are true, regarding the performance of the Deutsch-Jozsa (&#8220;DJ") quantum algorithm on [mathjaxinline]n[/mathjaxinline]-bit functions? Select all which apply: </p>
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<text>The DJ algorithm is exponentially faster than the best possible deterministic classical algorithm</text>
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<text>The Deutsch-Jozsa quantum algorithm is exponentially slower than the best possible randomized classical algorithm</text>
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<text>The Deutsch-Jozsa quantum algorithm is only about as fast as best possible randomized classical algorithm</text>
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<text>The Deutsch-Jozsa quantum algorithm gives only a polynominal speedup over the best possible deterministic classical algorithm</text>
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On Toffoli gates and permutation matrices
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<p>
This is a concept question, provided to double-check your understanding of the previous video clip. </p>
<p>
Which of the following statement(s) are true, regarding Toffoli gates, permutation matrices and gates, and classical circuits? Select all which apply: </p>
<p>
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<text>A Toffoli gate can be constructed using any permutation gate</text>
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<text>Any pemutation gate can be constructed from Toffoli gates</text>
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<text>Both reversible and irreversible circuits are represented by permutation matrices</text>
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<text>A transform composed from only Toffoli gates must be a permutation matrix</text>
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<text>The matrix representation of an AND gate is a permutation matrix</text>
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<h2 class="hd hd-2 unit-title">CQ: Universal quantum gate families</h2>
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Universal quantum gate families
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This is a concept question, provided to double-check your understanding of the previous video clip. </p>
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Which of the following statement(s) are true, regarding quantum circuits composed from the quantum [mathjaxinline]X[/mathjaxinline], [mathjaxinline]Y[/mathjaxinline], [mathjaxinline]Z[/mathjaxinline], [mathjaxinline]H[/mathjaxinline], [mathjaxinline]S[/mathjaxinline], [mathjaxinline]T[/mathjaxinline], CNOT, and Toffoli gates? </p>
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<text>[mathjaxinline]H[/mathjaxinline] can be generated from [mathjaxinline]X[/mathjaxinline] and [mathjaxinline]Z[/mathjaxinline]</text>
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<text>[mathjaxinline]H[/mathjaxinline] can be generated from [mathjaxinline]X[/mathjaxinline], [mathjaxinline]Y[/mathjaxinline], [mathjaxinline]Z[/mathjaxinline], and [mathjaxinline]T[/mathjaxinline]</text>
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<text>[mathjaxinline]X[/mathjaxinline] can be created from CNOT</text>
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<text>Toffoli can be created from [mathjaxinline]H[/mathjaxinline], [mathjaxinline]T[/mathjaxinline], and CNOT</text>
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<text>CNOT can be created from Toffoli</text>
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}
$('div.xblock-student_view-video').each(function(key, vblock_e){
var vblock = $(vblock_e);
var vuid = vblock.data('usage-id').split('@');
var vid;
if (vuid.length==1){
vuid = vblock.data('usage-id').split(';_')
vid = vuid[5];
}else{
vid = vuid[2];
}
var mfnpre = vid.split("_video",1)[0];
var mfnid = mfnpre; // no periods
mfnpre = mfnpre.replace('8_370', '8.370'); // periods in gh filename
var lb = String.fromCharCode(60);
var rb = String.fromCharCode(62);
var mke = function(x){ return lb + x + rb; }
var ftid = "fix_transcript_" + mfnid;
if (!$('#' + ftid).length){
var html = lb + "span id='" + ftid + "' style='float:right'" + rb + lb + "a href='#'" + rb;
html += "contribute transcript fix" + mke("/a") + mke("/span");
console.log("html = ", html);
vblock.after(html)
}
$('#' + ftid).click(function(){
var cst = $('ol.subtitles').find('li.current');
var cindex = Number(cst.data('index'));
var gurl;
if (mfnpre.endsWith('_cq_sol')){
gurl = "https://github.com/mitocw/content-mit-8370x-cq-sol-subtitles/blob/master/";
}else{
gurl = "https://github.com/mitocw/content-mit-8370x-subtitles/blob/master/";
}
gurl += mfnpre + ".txt#L" + String(cindex + 10 + 1);
console.log("going to ", gurl);
window.open(gurl, "MITx 8.370x subtitle source");
});
});
}
try{
add_fix_transcript();
}
catch(err){
console.log(err);
}
try{
var rb = String.fromCharCode(62);
setTimeout(function(){ $('.math' + rb + 'span').css("border-left-color","transparent"); }, 3000);
setTimeout(function(){ $('.math' + rb + 'span').css("border-left-color","transparent"); }, 8000);
}
catch(err){
console.log(err);
}
</script></span>
</div>
</div>
</div>
</div>
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