Comparison of two unknown pure quantum states

Stephen M. Barnett; Anthony Chefles; Igor Jex

doi:10.1016/S0375-9601(02)01602-X

Comparison of two unknown pure quantum states

Stephen M. Barnett, Anthony Chefles, Igor Jex

Physics

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Abstract

Can we establish whether or not two quantum systems have been prepared in the same state? We investigate the possibility of universal unambiguous state comparison. We show that it is impossible to conclusively identify two pure unknown states as being identical, and construct the optimal measurement for conclusively identifying them as being different. We then derive optimal strategies for state comparison when the state of each system is one of two known states.

Original language	English
Pages (from-to)	189-195
Number of pages	6
Journal	Physics Letters A
Volume	307
Issue number	4
DOIs	https://doi.org/10.1016/S0375-9601(02)01602-X
Publication status	Published - 3 Feb 2003

Keywords

quantum information
quantum measurement
optical physics
optics

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10.1016/S0375-9601(02)01602-X

strathprints005857Accepted author manuscript, 110 KB

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title = "Comparison of two unknown pure quantum states",

abstract = "Can we establish whether or not two quantum systems have been prepared in the same state? We investigate the possibility of universal unambiguous state comparison. We show that it is impossible to conclusively identify two pure unknown states as being identical, and construct the optimal measurement for conclusively identifying them as being different. We then derive optimal strategies for state comparison when the state of each system is one of two known states.",

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AU - Jex, Igor

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N2 - Can we establish whether or not two quantum systems have been prepared in the same state? We investigate the possibility of universal unambiguous state comparison. We show that it is impossible to conclusively identify two pure unknown states as being identical, and construct the optimal measurement for conclusively identifying them as being different. We then derive optimal strategies for state comparison when the state of each system is one of two known states.

AB - Can we establish whether or not two quantum systems have been prepared in the same state? We investigate the possibility of universal unambiguous state comparison. We show that it is impossible to conclusively identify two pure unknown states as being identical, and construct the optimal measurement for conclusively identifying them as being different. We then derive optimal strategies for state comparison when the state of each system is one of two known states.

KW - quantum information

KW - quantum measurement

KW - optical physics

KW - optics

UR - http://arxiv.org/PS_cache/quant-ph/pdf/0202/0202087v3.pdf

U2 - 10.1016/S0375-9601(02)01602-X

DO - 10.1016/S0375-9601(02)01602-X

M3 - Article

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VL - 307

SP - 189

EP - 195

JO - Physics Letters A

JF - Physics Letters A

IS - 4

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Comparison of two unknown pure quantum states

Abstract

Keywords

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