Quantum Computing
Sergey Tikhomirov
Lecture 13
https://sites.google.com/site/sergeytikhomirov/teaching/2025-quantum
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Summary
Reduced density operator (partial trace)
Reduced density operator (partial trace)
Examples
Interpretation of reduced density operator (partial trace)
Purification
Quantum Operation
Example
Operator-sum representation
Quantum Noise. Bit-flip.
Quantum Noise. Phase flip. Bit-phase flip.
Quantum Noise. Depolarization channel.
Quantum Noise. Amplitude damping.
Distance between quantum states.
Distance between quantum states.
Trace distance. Properties.
Trace distance. Bloch Ball.
Trace distance contraction.
Distance between quantum states. Fidelity
Introduction to Error Correction
Quantum Error Correction. Bit-flip
Quantum Error Correction. Bit-flip
Quantum Error Correction. Extentions