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Quantum EngineeringYear 3: Qualifying Exam PreparationMonth 40Week 160

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Week 160: Quantum Channels

Week 160 of 288~34 min read

Learning Objectives

  • •Define CPTP maps and explain why both properties are physical requirements
  • •Construct Kraus operator representations for given channels
  • •Derive Kraus operators from system-environment models
  • •Compute the effect of depolarizing, amplitude damping, and phase damping channels
  • •Construct the Choi matrix for a channel and use it to verify complete positivity
  • •Transform between Kraus and Choi representations
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On this page

OverviewDaily BreakdownDay 1114 Monday CPTP MapsDay 1115 Tuesday Kraus Operator RepresentationDay 1116 Wednesday Standard Channels - DepolarizingDay 1117 Thursday Standard Channels - Amplitude DampingDay 1118 Friday Phase Damping and DephasingDay 1119 Saturday Choi-Jamiolkowski IsomorphismDay 1120 Sunday Review and Problem SessionKey FormulasCPTP Map DefinitionKraus RepresentationDepolarizing ChannelAmplitude Damping ChannelPhase Damping ChannelChoi MatrixChannel from Choi MatrixLearning ObjectivesFiles in This WeekPrerequisitesReferences