A Gaussian quantum state discriminator

Michael R. Frey; Jaclyn D. Szymonifka

doi:10.1117/12.604340

25 May 2005 A Gaussian quantum state discriminator

Michael R. Frey, Jaclyn D. Szymonifka

Proceedings Volume 5815, Quantum Information and Computation III; (2005) https://doi.org/10.1117/12.604340
Event: Defense and Security, 2005, Orlando, Florida, United States

Abstract

A Gaussian statistic, or discriminator, is proposed for conclusively discriminating between two pure quantum states. The discriminator is based on registrations from a limit of an increasing number of weak measurements on a single system. The average error of the discriminator is near that of the optimal conclusive Helstrom discriminator and, in fact, the Gaussian discriminator is the limit point of a class of conclusive discriminators which includes the Helstrom discriminator. The Gaussian discriminator always leaves some post-measurement state (PMS) separation; by contrast, the PMS separation with the Helstrom discriminator is always zero. Simple, closed-form expressions are given for the distribution and error performance of the Gaussian discriminator.

Citation Download Citation

Michael R. Frey and Jaclyn D. Szymonifka "A Gaussian quantum state discriminator", Proc. SPIE 5815, Quantum Information and Computation III, (25 May 2005); https://doi.org/10.1117/12.604340

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