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Quantum Engineering Year 1: Quantum Mechanics Core Month 19Day 510

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Year 1·Month 19·Week 1

Day 510: Distinguishing Quantum States

Day 510 of 2,016~9 min read

Learning Objectives

•Define and compute trace distance between quantum states
•Define and compute fidelity between quantum states
•Prove key properties of these measures
•Relate trace distance to measurement distinguishability
•Use these metrics for error analysis in quantum computing
•Apply Uhlmann's theorem for mixed state fidelity

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Trace Distance Properties of Trace Distance Operational Interpretation Fidelity Properties of Fidelity Relation Between Trace Distance and Fidelity Uhlmanns Theorem Trace Distance for Qubits Fidelity for Qubits Quantum Computing Connection Gate Fidelity State Preparation Error Quantum Error Correction Quantum Cryptography

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