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Topics in Quantum Information (fall 2006)
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| Code: CO781 |
Semester/Year Offered:
Fall 2006 |
| Instructors:Dr. Ashwin Nayak and Dr. Debbie Leung |
| Location: TBA |
Time: |
| Website: http://www.math.uwaterloo.ca/%7eanayak/co781-f06/ |
| Textbooks: The book Quantum Computation and Quantum Information, by Nielsen and Chuang (Cambridge University Press) |
Calendar Description:
Outline
In this graduate level course, we will further develop three inter-related topics: quantum information theory, error-correction, and cryptography.
Preliminary list of topics:
* Mathematical framework: quantum states, measurement, metrics.
* Error-correction: stabilizer formalism, CSS codes.
* Fault-tolerance: encoded operations, concatenation, threshold theorem.
* Information theory: von Neumann entropy, compression, Holevo Theorem and an in-probability bound.
* Application: communication complexity of set-disjointness.
* Quantum channels: resources and capacities.
* Quantum key distribution: BB84 protocol, proof of security.
* Other cryptographic protocols: bounded-storage model, bit-commitment.
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Lectures:
| Topic |
Hours |
Notes |
Quantum state, density matrix, purification, impossibility of superluminal communication, Schmidt decomposition, local transitions, impossibility of bit commitment. | 1.5 | |
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