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Multi-particle Entanglement in Quantum States and Evolutions

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Matthew Leifer
Matthew Leifer

Slides from my first ever seminar presentation given when I was a first year Ph.D. student. University of Bristol Applied Mathematics Seminar 2001. Brief introduction to entanglement and discussion of local unitary invariants.

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Multi-particle Entanglement in Quantum States and Evolutions Matthew Leifer - 1st Year Ph.D., Maths Dept., University of Bristol Supervisor - Dr. Noah Linden 1. Background and Motivation 2. Physical Meaning of Entanglement 3. Quantum Mechanics 4. Entanglement in Quantum States 5. Entanglement in Quantum Evolutions 6. Further Investigations
1. Background and Motivation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
What happens if we can control quantum systems? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Peter Shor Richard Feynman
3. Quantum Mechanics Measurement ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
3. Quantum Mechanics Quantum Dynamics ,[object Object],[object Object],[object Object],[object Object],In theory, can implement any unitary transformation by correct choice of H.
3. Quantum Mechanics Systems and Subsystems ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
4. Entanglement in Quantum States ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
4. Entanglement in Quantum States # Non-Local Parameters ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
4. Entanglement in Quantum States Polynomial Invariants ,[object Object],[object Object],[object Object],[object Object]
4. Entanglement in Quantum States Stability Groups ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
5. Entanglement in Quantum Evolutions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
6. Future Work ,[object Object],[object Object],[object Object],[object Object],[object Object]

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  • 1. Multi-particle Entanglement in Quantum States and Evolutions Matthew Leifer - 1st Year Ph.D., Maths Dept., University of Bristol Supervisor - Dr. Noah Linden 1. Background and Motivation 2. Physical Meaning of Entanglement 3. Quantum Mechanics 4. Entanglement in Quantum States 5. Entanglement in Quantum Evolutions 6. Further Investigations
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