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Quantum EngineeringYear 1: Quantum Mechanics CoreMonth 13Day 361

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Year 1·Month 13·Week 4

Day 361: The Schrodinger Picture — States Evolve, Operators Fixed

Day 361 of 2,016~16 min read

Learning Objectives

  • •Define the Schrodinger picture and its key characteristics
  • •Write the equations of motion for states in this picture
  • •Compute time-dependent expectation values
  • •Derive Ehrenfest's theorem
  • •Show equivalence between pictures for observable quantities
  • •Recognize when the Schrodinger picture is most useful

Today's Schedule (7 hours)

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On this page

1 What is a Picture in Quantum Mechanics2 The Schrodinger Picture Definition3 Equation of Motion for States4 Time Evolution of Expectation Values5 Ehrenfests Theorem6 Conservation Laws in the Schrodinger Picture7 The Schrodinger Picture Wave Function8 Advantages of the Schrodinger PicturePhysical InterpretationThe State as Physical RealityClassical LimitInformation FlowQuantum Computing ConnectionQuantum Circuits in the Schrodinger PictureState TomographyVariational Quantum Eigensolver VQE
Day 360Day 361 of 2,016Day 362