3636
3737<!-- tocinfo
3838{'highest level': 2,
39- 'sections': [('Plans for the week of April 22-26 ',
39+ 'sections': [('Plans for the week of April 28-May 2 ',
4040 2,
4141 None,
42- 'plans-for-the-week-of-april-22-26'),
43- ('Brief reminder on Quantum Phase Estimation algorithm',
44- 2,
45- None,
46- 'brief-reminder-on-quantum-phase-estimation-algorithm'),
47- ('Basics of encryption algorithm, classical background, '
48- 'factoring',
49- 2,
50- None,
51- 'basics-of-encryption-algorithm-classical-background-factoring'),
52- ('Basics of encryption algorithm, classical background',
53- 2,
54- None,
55- 'basics-of-encryption-algorithm-classical-background'),
56- ("QPE and Shor's algorithm",
57- 2,
58- None,
59- 'qpe-and-shor-s-algorithm')]}
42+ 'plans-for-the-week-of-april-28-may-2')]}
6043end of tocinfo -->
6144
6245< body >
7558 < li class ="dropdown ">
7659 < a href ="# " class ="dropdown-toggle " data-toggle ="dropdown "> Contents < b class ="caret "> </ b > </ a >
7760 < ul class ="dropdown-menu ">
78- <!-- navigation toc: --> < li > < a href ="#plans-for-the-week-of-april-22-26 " style ="font-size: 80%; "> Plans for the week of April 22-26</ a > </ li >
79- <!-- navigation toc: --> < li > < a href ="#brief-reminder-on-quantum-phase-estimation-algorithm " style ="font-size: 80%; "> Brief reminder on Quantum Phase Estimation algorithm</ a > </ li >
80- <!-- navigation toc: --> < li > < a href ="#basics-of-encryption-algorithm-classical-background-factoring " style ="font-size: 80%; "> Basics of encryption algorithm, classical background, factoring</ a > </ li >
81- <!-- navigation toc: --> < li > < a href ="#basics-of-encryption-algorithm-classical-background " style ="font-size: 80%; "> Basics of encryption algorithm, classical background</ a > </ li >
82- <!-- navigation toc: --> < li > < a href ="#qpe-and-shor-s-algorithm " style ="font-size: 80%; "> QPE and Shor's algorithm</ a > </ li >
61+ <!-- navigation toc: --> < li > < a href ="#plans-for-the-week-of-april-28-may-2 " style ="font-size: 80%; "> Plans for the week of April 28-May 2</ a > </ li >
8362
8463 </ ul >
8564 </ li >
@@ -105,55 +84,27 @@ <h1>Quantum Computing, Quantum Machine Learning and Quantum Information Theories
10584</ center >
10685< br >
10786< center >
108- < h4 > April 24 </ h4 >
87+ < h4 > April 30 </ h4 >
10988</ center > <!-- date -->
11089< br >
11190
11291<!-- potential-jumbotron-button -->
11392</ div > <!-- end jumbotron -->
11493
11594<!-- !split -->
116- < h2 id ="plans-for-the-week-of-april-22-26 " class ="anchor "> Plans for the week of April 22-26 </ h2 >
95+ < h2 id ="plans-for-the-week-of-april-28-may-2 " class ="anchor "> Plans for the week of April 28-May 2 </ h2 >
11796
11897< div class ="panel panel-default ">
11998< div class ="panel-body ">
12099<!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
100+ < p > O TBA</ p >
121101< ol >
122- < li > Discussion of project 2</ li >
123- < li > Summary of quantum phase estimation algorithm</ li >
124- < li > Discussion of various quantum algorithms, see Hundt sections 6.4-6.6</ li >
125- < li > Reading suggestions: Hundt sections 6.4-6.6 and Nielsen and Chuang, sections 5.2-5.3</ li >
126- < li > < a href ="https://youtu.be/OZdyky8UYdk " target ="_self "> Video of lecture at</ a > </ li >
127- < li > < a href ="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesApril24.pdf " target ="_self "> Whiteboard notes</ a > </ li >
102+ < li > < a href ="https://youtu.be/ " target ="_self "> Video of lecture TBA</ a >
103+ <!-- o <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesApril24.pdf" target="_self">Whiteboard notes</a> --> </ li >
128104</ ol >
129105</ div >
130106</ div >
131107
132-
133- <!-- !split -->
134- < h2 id ="brief-reminder-on-quantum-phase-estimation-algorithm " class ="anchor "> Brief reminder on Quantum Phase Estimation algorithm </ h2 >
135-
136- <!-- !split -->
137- < h2 id ="basics-of-encryption-algorithm-classical-background-factoring " class ="anchor "> Basics of encryption algorithm, classical background, factoring </ h2 >
138-
139- < p > Probably the most important quantum algorithm so far is Shor’s factoring algorithm [228]. It can
140- find a factor of a composite number N in roughly (log N)2
141- steps, which is polynomial in the length
142- log N of the input. On the other hand, there is no known classical (deterministic or randomized)
143- algorithm that can factor N in polynomial time.
144- </ p >
145-
146- <!-- !split -->
147- < h2 id ="basics-of-encryption-algorithm-classical-background " class ="anchor "> Basics of encryption algorithm, classical background </ h2 >
148-
149- <!-- !split -->
150- < h2 id ="qpe-and-shor-s-algorithm " class ="anchor "> QPE and Shor's algorithm </ h2 >
151-
152- < p > The crucial observation of Shor was that there is an efficient quantum algorithm for the problem
153- of period-finding and that factoring can be reduced to this, in the sense that an efficient algorithm
154- for period-finding implies an efficient algorithm for factoring
155- </ p >
156-
157108<!-- ------------------- end of main content --------------- -->
158109</ div > <!-- end container -->
159110<!-- include javascript, jQuery *first* -->
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