Implementation of Positive Operator-Valued Measure in Passive Faraday Mirror Attack

Passive Faraday-mirror（PFM） attack is based on imperfect Faraday mirrors in practical quantum cryptography systems and a set of three-dimensional Positive Operator-Valued Measure（POVM） operators plays an important role in this attack.In this paper,we propose a simple scheme to implement the POVM in...

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Published in:Communications in theoretical physics 2015-03, Vol.63 (3), p.296-302
Main Author: 王卫龙 高明 马智
Format: Article
Language:English
Subjects:
Hilbert space
Mathematical analysis
Operators
PFM
Quantum cryptography
Theoretical physics
Three dimensional
击实
加密系统
希尔伯特空间
法拉第镜
算子值测度
线性光学
量子密码系统
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description Passive Faraday-mirror（PFM） attack is based on imperfect Faraday mirrors in practical quantum cryptography systems and a set of three-dimensional Positive Operator-Valued Measure（POVM） operators plays an important role in this attack.In this paper,we propose a simple scheme to implement the POVM in PFM attack on an FaradayMichelson quantum cryptography system.Since the POVM can not be implemented directly with previous methods,in this scheme it needs to expand the states sent by Alice and the POVM operators in the attack into four-dimensional Hilbert space first,without changing the attacking effect by calculation.Based on the methods proposed by Ahnert and Payne,the linear-optical setup for implementing the POVM operators is derived.At last,the complete setup for realizing the PFM attack is presented with all parameters.Furthermore,our scheme can also be applied to realize PFM attack on a plug-and-play system by changing the parameters in the setup.
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subjects Hilbert space
Mathematical analysis
Operators
PFM
Quantum cryptography
Theoretical physics
Three dimensional
击实
加密系统
希尔伯特空间
法拉第镜
算子值测度
线性光学
量子密码系统
title Implementation of Positive Operator-Valued Measure in Passive Faraday Mirror Attack
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