The notion of quantum weakest precondition was introduced by D'Hondt and P. Panangaden [E. D'Hondt, P. Panangaden, Quantum weakest preconditions, Mathematical Structures in Computer Science 16 (2006) 429-451], and they presented a representation of weakest precondition of a quantum program in the operator-sum form. In this Letter, we give an intrinsic characterization of the weakest precondition of a quantum program given in a system-environment model. Furthermore, some sufficient conditions for commutativity of quantum weakest preconditions are presented. (c) 2007 Elsevier B.V. All rights reserved.
机构:University of Zielona Góra,Institute of Control and Computation Engineering, Faculty of Electrical Engineering, Computer Science and Telecommunications
Roman Gielerak
Marek Sawerwain
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机构:University of Zielona Góra,Institute of Control and Computation Engineering, Faculty of Electrical Engineering, Computer Science and Telecommunications
Marek Sawerwain
Quantum Information Processing,
2010,
9
: 441
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449
机构:
School of Computer Science, Shaanxi Normal University, Xi'an 710062, China
School of Mathematics and Information Science, Neijiang Normal University, Neijiang 641112, ChinaSchool of Computer Science, Shaanxi Normal University, Xi'an 710062, China
Lei, Hong-Xuan
Xi, Zheng-Jun
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机构:
School of Computer Science, Shaanxi Normal University, Xi'an 710062, ChinaSchool of Computer Science, Shaanxi Normal University, Xi'an 710062, China
Xi, Zheng-Jun
Li, Yong-Ming
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机构:
School of Computer Science, Shaanxi Normal University, Xi'an 710062, ChinaSchool of Computer Science, Shaanxi Normal University, Xi'an 710062, China