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Home » Basic and Health Sciences » Physics » Quantum Information Science » Quantum Information Science II, Part 1 » Examples of quantum operations

Examples of quantum operations

Course:Quantum Information Science II, Part 1
Discipline:Basic and Health Sciences
Institute:MIT
Instructor(s): Prof. Isaac Chuang, Dr. Aram Harrow
Level:Undergraduate

Quantum Information Science II, Part 1

A trivial quantum stabilizer code
Action of unitary transform on density matrices
Alternate formula for the projector into the stabilizer subspace
Any stabilizer code can be mapped to the trivial code: towards the Clifford group
Axiomatic definition of quantum operations
Equivalence of forms of quantum operations
Bloch sphere representation of single qubit density matrix states
Equivalence of symplectic transformations to Clifford operations
Classical error correction codes – a review
Equivalent version of the quantum error correction conditions
Classical linear error correction codes – definition
Error correction code distances and error detection
Classical linear error correction codes – field F2
Error rate reduction by combining codes to get Shor 9-qubit code
Classical random maps
Example – n-bit repetition code
Code distances and error correction
Examples of quantum operations
Composition of quantum operations
F2 perspective on stabilizers – binary symplectic form

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