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Laser Physics Letters

Improving the scheme of bidirectional controlled teleportation with a five-qubit composite GHZ-Bell state

Hao Yuan, Gang Zhang, Chuanmei Xie, Zhanjun Zhang

Published Jun 17, 2022• 14 citations
Publisher

Abstract

Abstract A bidirectional controlled quantum state teleportation (BCQST) scheme was proposed by Li et al (2013 Int. J. Theor. Phys. 52 1630) using a five-qubit composite Greenberger–Horne–Zeilinger-Bell state as the quantum channel. However, it was found to be unsuccessful for bidirectional teleportation control due to its own security loopholes (Shukla et al 2013 Int. J. Theor. Phys. 52 3790). In this paper, we put forward an improved version of the BCQST scheme so that the loopholes are fixed and the bidirectional control can indeed be achieved. In addition, after the improvement, the revised scheme becomes more feasible in terms of present experimental techniques.

DOI
10.1088/1612-202x/ac772c

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Abstract A bidirectional controlled quantum state teleportation (BCQST) scheme was proposed by Li et al (2013 Int. J. Theor. Phys. 52 1630) using a five-qubit composite Greenberger–Horne–Zeilinger-Bell state as the quantum channel. However, it was found to be unsuccessful for bidirectional teleportation control due to its own security loopholes (Shukla et al 2013 Int. J. Theor. Phys. 52 3790). In this paper, we put forward an improved version of the BCQST scheme so that the loopholes are fixed and the bidirectional control can indeed be achieved. In addition, after the improvement, the revised scheme becomes more feasible in terms of present experimental techniques.
Recently, Li and Nie (Int. J. Theo. Phys. 52:1630, 2013) had introduced a bidirectional controlled quantum teleportation (BCQT) protocol by using GHZ-Bell state as a quantum channel. Also, Shukla et al. (Int. J. Theo. Phys. 52:3790, 2013) had shown the Li and Nie (LN) protocol is not a BCQT scheme. In this paper, two kinds of bidirectional teleportation schemes in order to correct and improve LN protocol are presented. In the first scheme, Alice and Bob as two legitimate users can simultaneously teleport an unknown single-qubit state to each other with the help of controller Charlie. In the second scheme, Alice can transmit two-qubit entangled state to Bob and at the same time Bob can teleport single-qubit state to Alice. In both of proposed schemes the quantum channel linking users is a GHZ-Bell state.
A bidirectional controlled quantum teleportation (BCQT) scheme was proposed by Yan Chen [Int. J. Theor. Phys. 53, 1454 (2014)] with a genuine five-qubit entangled state as quantum channel. In the scheme two remote participants have to perform some two-qubit joint operations to accomplish the BCQT task. Such joint operations are nonlocal and usually regarded as serious faults in some sense. To overcome them, in this paper we put forward an optimized version. Our scheme has the distinct advantages of degrading the necessary-operation complexity (i.e., both intensity and difficulty) and consuming fewer classical resources as well as owing higher intrinsic efficiency in contrast to Chen’s. Besides, it is feasible in experiment and applicable in the intending quantum network.
Abstract Several schemes for bidirectional controlled quantum teleportation (BCQT) of arbitrary single-qubit states have been proposed by utilizing five-qubit entangled states, six-qubit entangled state and seven-qubit entangled state as the quantum channels. In this paper, a generalization to BCQT of multi-qubit entangled states is presented. By using a five-qubit entangled state as the quantum channel, we propose a scheme for BCQT of certain class of multi-qubit entangled states in which two legitimate users exchange their unknown multi-qubit entangled state to each other with the help of a supervisor. Compared with previous BCQT (3 ↔ 3) scheme [2019 Int. J. Theor. Phys . 58 3594], our proposed BCQT (m ↔ n) scheme requires less consumption of quantum and classical resources, and possesses higher intrinsic efficiency. Also, the present BCQT scheme is more general and has less operation complexity.
Utilizing a six-qubit cluster state as quantum channel, a bidirectional controlled quantum teleportation (BCQT) scheme was put forward by Yan in [Int. J. Theor. Phys. 52, 3870 (2013)]. However, in order to accomplish the task, two agents must cooperate to perform a quantum controlled phase gate operation on their two qubits. In view of the present technique, such kind of remote joint operation is difficult to be realized. In this paper, based on the same cluster state, we propose a different BCQT scheme to avoid the remote joint operation. Besides, an unnecessary waste of classical messages in Yan’s scheme is point out.
In 2017, Min Li et al., presented a quantum teleportation scheme (Int. J. Theor. Phys. 56, 2710 (2017)) of five-qubit unknown quantum state using a seven - qubit entangled state as a quantum channel. Recently, Yong Yang et al., (Int. J. Theor. Phys. 57, 3485 – 3491 (2018)) have proposed an improved scheme of Min Li et al., [1] with only single-qubit measurements. In this teleportation scheme, we have shown that the quantum resource used by Min Li et al., for teleportation of five-qubit state is unnecessarily high and the teleportation task can be performed by using the minimum amount of quantum resource. So, in this scheme, we have proposed that the Min Li et al. and Yong Yang et al.’s scheme of quantum teleportation of five-qubit quantum state can be performed by using two pairs of any Bell states.
Abstract A bidirectional quantum operation teleportation scheme is proposed by utilizing a six-qubit composite Bell-GHZ state. In which, two users Anne and Benson can perform their respective concerned single-qubit operations on each other’s target states. Compared with the other existing schemes of quantum operation teleportation (QOT), the present scheme can realize the remote implement of the positive and negative two-way quantum operations, which not only improves the communication capacity, but also expands the application scenarios of QOT. Additionally, it is deterministic and feasible with the present experimental techniques.