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

Aram W. Harrow

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arXiv · quant-ph/0512255

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

Aram W. Harrow

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Abstract

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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Aram W. Harrow. 2005-12-30. Applications of coherent classical communication and the Schur transform to quantum information theory. https://arxiv.org/abs/quant-ph/0512255

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