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Quantum Engineering Year 1: Quantum Mechanics Core Month 14Day 384

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Year 1·Month 14·Week 3

Day 384: QHO in Phase Space — The Wigner Function

Day 384 of 2,016~16 min read

Learning Objectives

•Define the Wigner function and understand its properties
•Calculate Wigner functions for Fock states and coherent states
•Understand negativity as a signature of non-classicality
•Visualize quantum states in phase space
•Connect the classical limit to Wigner function behavior
•Apply phase space methods to quantum optics and computing

Today's Schedule (7 hours)

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On this page

1 Phase Space in Classical and Quantum Mechanics Classical Phase Space The Quantum Problem 2 The Wigner Function Key Properties 3 Wigner Function for Fock States Explicit Forms 4 Wigner Function for Coherent States 5 Negativity as Non-classicality Quantifying Non-classicality 6 Wigner Function for Cat States 7 Classical Limit Large n Limit Phase Space Area 8 Quantum Computing Connection GKP Codes and Phase Space Phase Space Engineering GKP Gottesman-Kitaev-Preskill Codes Tomography

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