Deterministic bidirectional controlled remote preparation without information splitting
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Deterministic bidirectional controlled remote preparation without information splitting Songya Ma1,2,3
· Li Gong1,2
Received: 1 February 2020 / Accepted: 10 July 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract By using a five-qubit entangled state as the quantum channel, we propose an efficient protocol for implementing bidirectional controlled remote preparation of arbitrary single-qubit states with unit success probability. The senders do not need to perform information splitting and additional unitary operations due to the elaborately constructed measurement basis. Furthermore, three-bit classical communication can be saved at the controller’s broadcast channel with the aid of network coding. Then, we consider the effect of five-type noises on the proposed protocol. It is found that the fidelities of the output states are dependent on the coefficients of the prepared state and the noise parameter. Interestingly, the fidelity is irrelevant to the participators’ measurement results except in the amplitude-damping and phase-damping noises. Keywords Bidirectional controlled remote preparation · Information splitting · Network coding · Quantum noise · Fidelity
1 Introduction Quantum entanglement plays a key role in the field of quantum communication [1– 5]. As one of the important secure communication methods, remote state preparation (RSP) was first proposed by Lo [6] to realize the transmission of a pure known quantum state by utilizing shared entanglement and classical communication. It has been shown that for some special ensembles of states, RSP protocols are more economical than teleportation [7] as the required entanglement and classical communication cost
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Songya Ma [email protected]
1
School of Mathematics and Statistics, Henan University, Kaifeng 475004, China
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Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China
3
Henan Engineering Research Center for Artificial Intelligence Theory and Algorithms, Henan University, Kaifeng 475004, China 0123456789().: V,-vol
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(CCC) can be reduced in the case that the sender knows the state [8]. For two-party RSP, information leakage may be caused by a dishonest sender since he knows all the information about the desired state. Multi-party RSP [9–16] is investigated to enhance the security, which includes joint remote state preparation (JRSP) [9–12] and controlled remote state preparation (CRSP) [13–16]. CRSP introduces one or several controllers besides the sender and the receiver. Although the controlling party has no information about the prepared state, he determines whether the state is constructed for the receiver or not. Up to now, generalizations have been made for RSP both in theory [9–21] and experimental implementation [22–25]. In addition to one-way quantum communication, for a practical quantum network consisting of many processors working far apart, there may
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