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Zhongguo kexue. Wulixue Lixue Tianwenxue

基于六量子比特纠缠混态的三方量子态分享

Zhanjun Zhang

Published Apr 1, 2023• 0 citations
Publisher

Abstract

The quantum network has three nodes, each with two identical qubits. The six-qubit system is in a genuine state proposed by Chen et al. [Phys Rev A, 2006, 74: 032324]. In this paper we consider the case where two qubits in each node are confused and propose a three-party quantum state sharing scheme using the six-qubit mixing state as the quantum channel. We investigated scheme security, success probability, sharer symmetry, as well as the underlying physics, and scheme feasibility. The scheme is observed to be secure, including that any state can be safely shared successfully by the three legitimate parties with a 1/2 probability; moreover, the scheme is feasible in terms of the current technologies.

DOI
10.1360/sspma-2023-0142

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The quantum network has three nodes, each with two identical qubits. The six-qubit system is in a genuine state proposed by Chen et al. [Phys Rev A, 2006, 74: 032324]. In this paper we consider the case where two qubits in each node are confused and propose a three-party quantum state sharing scheme using the six-qubit mixing state as the quantum channel. We investigated scheme security, success probability, sharer symmetry, as well as the underlying physics, and scheme feasibility. The scheme is observed to be secure, including that any state can be safely shared successfully by the three legitimate parties with a 1/2 probability; moreover, the scheme is feasible in terms of the current technologies.
In this paper the possibility of using mixing entangled states as quantum channel to accomplish quantum state sharing (QSTS) is considered. As a preliminary study, an efficient tripartite QSTS scheme is put forward by utilizing a mixing entangled state, which is a derivative of a six-qubit entangled pure state under a two-qubit confusion. Some specific discussions about the QSTS scheme are made, including the issues of the scheme determinacy, the sharer symmetry, the scheme security and the essential role of quantum channel as well as the current experimental feasibility.
In this paper, a four-party quantum operation protocol is proposed using a 7-qubit mixing state, which originates from a 7-qubit Brown state due to a 2-qubit confusion. The security, determinacy, and sharer symmetry, as well as the experiment feasibility of the present protocol, are analyzed and discussed. Notably, the protocol is secure, a quantum operation can be shared by the sharer entity so that it can be successfully executed on a remote target qubit on one sharer’s side, two of the three sharers are symmetric as the reconstruction of the conceivable state is concerned, and the protocol is experimentally feasible in terms of the current technique. The present protocol is concisely compared with four 4-party quantum operation protocols, which are different from the employed quantum channel or the qubit distribution. The present protocol is the first to utilize the entangled mixing state as the quantum channel.
A three-party scheme for sharing an arbitrary single-qubit operation on a distant target qubit is proposed by first utilizing a six-qubit genuinely entangled state presented by [Borras et al., J. Phys. A 40, 13407 (2007)]. The security of the scheme is simply analyzed and ensured. The essential role which the state in the given qubit distribution plays in the QOS task is revealed. The important features including the sharing determinacy and the sharer symmetry are identified. Moreover, the experimental implementation feasibility of the scheme is discussed and confirmed.
A scheme for quantum state sharing of an arbitrary single qubit state by using a genuinely entangled six-qubit state as a quantum channel is proposed.Firstly,the sender performs the Bell-state measurement and single qubit measurements on her qubits,respectively.Then any one of the two legitimate agents make a single qubit measurement on his qubit,and the other one(receiver) can reconstruct the original arbitrary single qubit state by performing appropriate unitary operation on his particle.The successful probability of this scheme is 100%.
A three-party scheme for splitting an arbitrary unknown two-qutrit state is proposed, where two non-maximally-entangled three-qutrit states are taken as the quantum channel among three parties. With the sender's help, if and only if both receivers collaborate together, they can securely share the quantum state in a probabilistic way by introducing an ancilla qutrit and performing appropriate unitary operations. The relation between the success probability and coefficients characterizing the quantum channel is revealed. The security of the present scheme is analyzed and confirmed. Moreover, the generalization of the three-party scheme to more-party case is also sketched.