General description of discriminating quantum operations

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

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.

Keywords: operator discrimination quantum cryptograph quantum computation

Received: 25 March 2011
Revised: 26 May 2011
Accepted manuscript online:

PACS:	03.67.Ac	(Quantum algorithms, protocols, and simulations)
	03.65.Ta	(Foundations of quantum mechanics; measurement theory)
	03.67.Dd	(Quantum cryptography and communication security)
	03.67.Hk	(Quantum communication)

Fund: 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).

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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 2011 Chin. Phys. B 20 100304

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