General description of discriminating quantum operations

doi:10.1088/1674-1056/20/10/100304

中国物理B ›› 2011, Vol. 20 ›› Issue (10): 100304-100304.doi: 10.1088/1674-1056/20/10/100304

General description of discriminating quantum operations

朱萍¹, 郭奋卓¹, 高飞², 秦素娟², 温巧燕², 张可佳³

(1)School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China; (2)State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China; (3)State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China; School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

收稿日期:2011-03-25 修回日期:2011-05-26 出版日期:2011-10-15 发布日期:2011-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60873191, 60903152, 61003286, 60821001, and 61070251), the Program for New Century Excellent Talents in University (Grant No. NCET-10-0260), the Specialized Research Fund for the Doctoral Program of Higher Education (Grant Nos. 200800131016 and 20090005110010), the Beijing Nova Program (Grant No. 2008B51), the Key Project of the Chinese Ministry of Education (Grant No. 109014), the Beijing Natural Science Foundation (Grant No. 4112040), and the Fundamental Research Funds for the Central Universities (Grant Nos. BUPT2011YB01 and BUPT2011RC0505).

General description of discriminating quantum operations

Zhang Ke-Jia(张可佳)^a)b)†, Zhu Ping(朱萍)^b), Gao Fei(高飞)^a), Guo Fen-Zhuo(郭奋卓)^b), Qin Su-Juan(秦素娟)^a), and Wen Qiao-Yan(温巧燕)^a)

^a State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China; ^b School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received:2011-03-25 Revised:2011-05-26 Online:2011-10-15 Published:2011-10-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60873191, 60903152, 61003286, 60821001, and 61070251), the Program for New Century Excellent Talents in University (Grant No. NCET-10-0260), the Specialized Research Fund for the Doctoral Program of Higher Education (Grant Nos. 200800131016 and 20090005110010), the Beijing Nova Program (Grant No. 2008B51), the Key Project of the Chinese Ministry of Education (Grant No. 109014), the Beijing Natural Science Foundation (Grant No. 4112040), and the Fundamental Research Funds for the Central Universities (Grant Nos. BUPT2011YB01 and BUPT2011RC0505).

摘要/Abstract

摘要： The discrimination of quantum operations plays a key role in quantum information and computation. Unlike discriminating quantum states, it has some special properties which can be carried out in practice. In this paper, we provide a general description of discriminating quantum operations. Concretely speaking, we describe the distinguishability between quantum operations using a measure called operator fidelity. It is shown that, employing the theory of operator fidelity, we can not only verify some previous results to discriminate unitary operations, but also exhibit a more general discrimination condition. We further apply our results to analysing the security of some quantum cryptographic protocols and discuss the realization of our method using well-developed quantum algorithms.

关键词: operator discrimination, quantum cryptograph, quantum computation

Abstract: The discrimination of quantum operations plays a key role in quantum information and computation. Unlike discriminating quantum states, it has some special properties which can be carried out in practice. In this paper, we provide a general description of discriminating quantum operations. Concretely speaking, we describe the distinguishability between quantum operations using a measure called operator fidelity. It is shown that, employing the theory of operator fidelity, we can not only verify some previous results to discriminate unitary operations, but also exhibit a more general discrimination condition. We further apply our results to analysing the security of some quantum cryptographic protocols and discuss the realization of our method using well-developed quantum algorithms.

Key words: operator discrimination, quantum cryptograph, quantum computation

中图分类号: (Quantum algorithms, protocols, and simulations)

03.67.Ac

03.65.Ta (Foundations of quantum mechanics; measurement theory) 03.67.Dd (Quantum cryptography and communication security) 03.67.Hk (Quantum communication)

张可佳, 朱萍, 高飞, 郭奋卓, 秦素娟, 温巧燕. General description of discriminating quantum operations[J]. 中国物理B, 2011, 20(10): 100304-100304.

Zhang Ke-Jia(张可佳), Zhu Ping(朱萍), Gao Fei(高飞), Guo Fen-Zhuo(郭奋卓), Qin Su-Juan(秦素娟), and Wen Qiao-Yan(温巧燕) . General description of discriminating quantum operations[J]. Chin. Phys. B, 2011, 20(10): 100304-100304.

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General description of discriminating quantum operations

General description of discriminating quantum operations

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