Probabilistic Remote Preparation of a Four-Particle Entangled W State for the General Case and for All Kinds of the Special Cases |
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Authors: | DAI Hong-Yi ZHANG Ming ZHANG Zu-Rong XI Zai-Rong |
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Institution: | 1.Department of Physics, College of Science, National University of Defense Technology, Changsha 410073, China;2.Department of Automatic Control, College of Mechatronics and Automation, National University of Defense Technology, Changsha 410073, China;3.Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
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Abstract: | We present a protocol for probabilistic remote preparation of a four-particle entangled W state. The quantum channel is composed of two partial entangled four-particle cluster states. We calculate the total successful probability and total classical communication cost required for the general case and for all kinds of the special cases, respectively. It is shown that for two maximally entangled four-particle cluster states, such a scheme for the general case has the total successful probability of 25% and only consumes the total classical communication of 1 bit, while this scheme for the special cases under certain conditions can possess successful probability of 50% or 100%, the required classical communication will only be 2 bits or 4 bits. Meantime, we give in detail all unitary transformations for the general case and for all kinds of the special cases, respectively. |
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Keywords: | remote state preparation four-particle W state cluster state classical communication cost |
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