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Quantum Engineering Year 0: Mathematical Foundations Month 5Day 123

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Year 0·Month 5·Week 2

Day 123: Composite Quantum Systems — Partial Trace and Reduced Density Matrices

Day 123 of 2,016~12 min read

Learning Objectives

•Define and compute the partial trace
•Derive reduced density matrices from composite systems
•Understand the connection between entanglement and mixed reduced states
•Compute entanglement entropy
•Apply partial trace to analyze quantum correlations
•Distinguish separable from entangled states using reduced density matrices

Today's Schedule (7 hours)

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On this page

1 Motivation Describing Subsystems 2 The Trace Operation Review 3 Definition of Partial Trace 4 Partial Trace of Product States 5 Partial Trace of Pure Entangled States 6 Criterion for Entanglement 7 Entanglement Entropy 8 Schmidt Decomposition Revisited Quantum Mechanics Connection Quantum Correlations Decoherence and Open Systems Quantum Discord Preview Monogamy of Entanglement

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