SCCI Digital Library and Forum

Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity

S# Lecture Course Institute Instructor Discipline
51
Complexity classes – polynomial exponential and PSPACE
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
52
The toric code – definition
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
53
Complexity of counting – review
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
54
Fault-tolerant quantum measurement of error syndromes
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
55
Quantum gate compiling – Solovay-Kitaev theorem
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
56
The toric code – F2 linear algebra representation of plaquettes and vertices
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
57
Fault-tolerant recovery from error – DiVincenzo-Shor method
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
58
The toric code – geometric representation of logical X operators
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
59
Complexity theory – definition of problems and languages
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
60
Quantum gate compiling – the problem
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
61
Quantum post-selection
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
62
Complexity theory – lecture overview
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
63
Fault-tolerant recovery from error – non-demolition measurement
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
64
The toric code – geometric representation of logical Z operators
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
65
Quantum supremacy overview
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
66
Complexity theory lectures – introduction
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
67
Fault-tolerant recovery from error – Steane method
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
68
The toric code – logical operators – the normalizer subgroup
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
69
Computational capacity – communication over noisy wires
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
70
Quantum supremacy overview – discussion
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
71
Magic state distillation – briefly
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
72
The toric code – number of logical qubits encoded
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
73
Reductions – example NP complete problem: Circuit SAT
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
74
The toric code – perspective
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
75
Model equivalence theorems
Quantum Information Science II, Part 2 - Efficient Quantum Computing - fault tolerance and complexity MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences