LEJ Knowledge Hub

Lecture

Right Arrow

SEARCH COURSES / LECTURES

Left Arrow

Quantum Information Science II, Part 1

(115 Lectures Available)

S# Lecture Course Institute Instructor Discipline
26
  • Equivalence of forms of quantum operations
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
27
  • Equivalence of symplectic transformations to Clifford operations
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
28
  • Equivalent version of the quantum error correction conditions
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
29
  • Error correction code distances and error detection
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
30
  • Error rate reduction by combining codes to get Shor 9-qubit code
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
31
  • Example - n-bit repetition code
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
32
  • Examples of quantum operations
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
33
  • F2 perspective on stabilizers - binary symplectic form
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
34
  • F2 picture of Clifford operations - analogy to Lorentz group
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
35
  • F2 picture of Clifford operations - application to the trivial code
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
36
  • F2 picture of Clifford operations - conjugation formula
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
37
  • F2 picture of Clifford operations - decoding codes
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
38
  • F2 picture of Clifford operations - example
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
39
  • F2 picture of Clifford operations - overview
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
40
  • F2 picture of Clifford operations - symplectic group
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
41
  • F2 picture of Clifford operations - syndrome vector
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
42
  • F2 picture of Clifford operations - using the symplectic inner product
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
43
  • F2 representation of stabilizers - error detection and logical operators
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
44
  • F2 representation of stabilizers - linear algebraic properties
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
45
  • Fundamental building blocks for quantum error correction codes: encoding, decoding, recovery
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
46
  • General classical error correction codes
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
47
  • Generalized measurements - example: non-demolition measurements
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
48
  • Gottesman-Knill theorem - proof
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
49
  • Gottesman-Knill theorem - statement
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
50
  • Indistinguishability of density matrix ensemble unravelings
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences

Basic and Health Sciences

Applied Sciences

Social Sciences