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Quantum Information Science II, Part 1

(115 Lectures Available)

S# Lecture Course Institute Instructor Discipline
1
  • A trivial quantum stabilizer code
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
2
  • Action of unitary transform on density matrices
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
3
  • Alternate formula for the projector into the stabilizer subspace
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
4
  • Any stabilizer code can be mapped to the trivial code: towards the Clifford group
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
5
  • Axiomatic definition of quantum operations
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
6
  • Bloch sphere representation of single qubit density matrix states
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
7
  • Classical error correction codes - a review
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
8
  • Classical linear error correction codes - definition
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
9
  • Classical linear error correction codes - field F2
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
10
  • Classical random maps
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
11
  • Code distances and error correction
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
12
  • Composition of quantum operations
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
13
  • Concatenated quantum error correction codes
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
14
  • Density matrices
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
15
  • Density matrices and ensembles
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
16
  • Density matrices and the partial trace - definition
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
17
  • Density matrices and the partial trace - example
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
18
  • Density matrix properties
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
19
  • Deterministic classical and quantum maps
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
20
  • Effect of depolarizing channel on the quantum code
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
21
  • Effect of measurement on an ensemble of states
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
22
  • Effect of single qubit rotation errors on the quantum code
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
23
  • Efficient decoding of quantum codes
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
24
  • Eigenvalues of density matrices specify a probability distribution
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences
25
  • Equivalence of density matrices to partial trace computed in different bases
Quantum Information Science II, Part 1 MIT Prof. Isaac Chuang, Dr. Aram Harrow Basic and Health Sciences