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 pape...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 distinguisha- bility 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.展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos. 60873191, 60903152, 61003286, 60821001, and61070251)the Program for New Century Excellent Talents in University (Grant No. NCET-10-0260)+4 种基金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)the Fundamental Research Funds for the Central Universities (GrantNos. BUPT2011YB01 and BUPT2011RC0505)
文摘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 distinguisha- bility 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.
