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理论物理通讯：英文版

Classical Communication and Entanglement Cost in Preparing a Class of Multi-qubit States

Pan, Gui-Xia, Liu, Yimin, Zhang, Zhan-Jun

Published Jan 1, 2008• 2 citations
OpenAlex

Abstract

最近，几个类似的协议[J。抉择。B 4 (2002 ) 380；Phys。Lett。一 316 (2003 ) 159；Phys。Lett。一 355 (2006 ) 285；Phys。Lett。一 336 (2005 ) 317 ] 为遥远地准备 multi-qubit 状态的一个班(即， α|0... 0 〉 +β|1... 1 〉) 分别地被建议。在这糊，由适用控制不(CNOT ) 门，一个新简单协议为遥远地准备状态的如此的班被建议。在我们的协议比作以前的协议，两古典通讯费用和要求的量纠纷显著地被减少。而且，在我们的协议识别一些量状态的困难也被降级。因此我们的协议更节俭、可行。

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最近，几个类似的协议[J。抉择。B 4 (2002 ) 380；Phys。Lett。一 316 (2003 ) 159；Phys。Lett。一 355 (2006 ) 285；Phys。Lett。一 336 (2005 ) 317 ] 为遥远地准备 multi-qubit 状态的一个班(即， α|0... 0 〉 +β|1... 1 〉) 分别地被建议。在这糊，由适用控制不(CNOT ) 门，一个新简单协议为遥远地准备状态的如此的班被建议。在我们的协议比作以前的协议，两古典通讯费用和要求的量纠纷显著地被减少。而且，在我们的协议识别一些量状态的困难也被降级。因此我们的协议更节俭、可行。
Recently, several similar protocols [J. Opt. B 4 (2002) 380; Phys. Lett. A 316 (2003) 159; Phys. Lett. A 355 (2006) 285; Phys. Lett. A 336 (2005) 317] for remotely preparing a class of multi-qubit states (i.e, α|0...0〉 + β|1...1〉) were proposed, respectively. In this paper, by applying the controlled-not (CNOT) gate, a new simple protocol is proposed for remotely preparing such class of states. Compared to the previous protocols, both classical communication cost and required quantum entanglement in our protocol are remarkably reduced. Moreover, the difficulty of identifying some quantum states in our protocol is also degraded. Hence our protocol is more economical and feasible.
Recently, several similar protocols[J. Opt. B 4 (2002) 380; Phys. Lett. A 316 (2003) 159; Phys. Lett. A 355 (2006) 285; Phys. Lett. A 336 (2005) 317] for remotely preparing a class of multi-qubit states (i.e, α∣0...0>+β∣1...1>α|0 ... 0>+β|1... 1>α∣0...0>+β∣1...1>) are proposed, respectively. In this paper, by applying the controlled-not (CNOT) gate, a new simple protocol is proposed for remotely preparing such class of states. Compared to the previous protocols, both classical communication cost and required quantum entanglement in our protocol are remarkably reduced. Moreover, the difficulty of identifying some quantum states in our protocol is also degraded. Hence our protocol is more economical and feasible.
By joint actions of two separate two-qubit projective measurements, I present a new protocol for remotely preparing a two-qubit state via the shared three bipartite entanglements. The success probability and the classical communication cost are also minutely calculated. Then I concisely generalize it to multi-party case and multi-qubit state case, respectively. In contrast to the previous schemes [Int. J. Theor. Phys.48 (2009) 2005; Int. J. Theor. Phys.46 (2007) 2378; Commun. Theor. Phys.47 (2007) 247], this protocol has distinct advantages overwhelming the above ones as far as quantum resource consumption and quantum operation difficulty or intensity are concerned.