Applications of coherent classical communication and the Schur transform to quantum information theory

Details Applications of coherent classical communication and the Schur transform to quantum information theory Applications of coherent classical communication and the Schur transform to quantum information theory

2005-12-30

arxiv.org/abs/quant-ph/0512255v1

Ph.D thesis, Massachusetts Institute of Technology, Cambridge, MA, 2005

Physics

Quantum Physics

176 pages. Chapters 1 and 4 are a slightly older version of quant-ph/0512015. Chapter 2 is quant-ph/0205057 plus unpublished e

Scientific paper

Quantum mechanics has led not only to new physical theories, but also a new understanding of information and computation. Quantum information began by yielding new methods for achieving classical tasks such as factoring and key distribution but also suggests a completely new set of quantum problems, such as sending quantum information over quantum channels or efficiently performing particular basis changes on a quantum computer. This thesis contributes two new, purely quantum, tools to quantum information theory--coherent classical communication in the first half and an efficient quantum circuit for the Schur transform in the second half.

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