45 lines
1023 B
Markdown
45 lines
1023 B
Markdown
# Math 401, Topic 6: Postulates of quantum theory and measurement operations
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## Section 1: Postulates of quantum theory
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This part is a review of the quantum theory, I will keep the content brief.
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If you are familiar with the linear algebra defined before, you can jump right into this section to keep your time as viewing those compact notations.
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### Pure states
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### Composite systems
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### Mixed states and density operators
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### Density operator of subsystems
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### State purification
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### Observables
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### Effects and Busch's theorem for effect operators
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### Measurements
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### Quantum operations and CPTP maps
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### Conditional operations
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## Section 2: Quantum entanglement
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### Bell states and the EPR phenomenon
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### Von Neumann entropy and maximally entangled states
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## Section 3: Information transmission by quantum systems
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### Transmission of classical information
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### Making use of entanglement and local operations
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### Superdense coding [very important]
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## Section 4: Quantum automorphisms and dynamics
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