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Physica Scripta

Bidirectional controlled quantum teleportation of multi-qubit entangled states via five-qubit entangled state

Vikram Verma

Published Dec 30, 2020• 21 citations
Publisher

Abstract

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.

DOI
10.1088/1402-4896/abd78f

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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.
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 In this paper, we propose a new scheme for faithful bidirectional quantum teleportation (BQT) of special type of two-qubit entangled states by using single G state as a quantum channel. In 2016, by using five-qubit and six-qubit entangled states as the quantum channels, two different BQT schemes were proposed by Sang ((2016) Int. J. Theor. Phys . 55 , 1333) and Hassanpour et al ((2016) Quantum Inf. Process. 15 , 905) respectively. In first scheme, Alice teleports a special type of two-qubit entangled state to Bob and at the same time Bob teleports a single qubit state to Alice. In later scheme, Alice and Bob teleport special type of two-qubit entangled state to each other simultaneously. In contrast to these schemes, in our proposed scheme Alice and Bob can teleport special type of two-qubit entangled states to each other simultaneously while the quantum channel is a four-qubit entangled state. Our proposed BQT scheme requires minimum consumption of quantum and classical resources and it has maximum intrinsic efficiency as compared with previous BQT schemes. We also generalize our scheme for bidirectional quantum teleportation of N-qubit entangled states.
In this paper, a novel protocol for bidirectional controlled quantum teleportation (BCQT) is proposed. Based on entanglement swapping of initiate Bell state, two users can teleport an unknown single-qubit state to each other under the permission of the supervisor. This proposed protocol would be utilized to a system in which a controller controls the communication in one direction only. Indeed, just one of the users needs the permission of the controller to reconstruct the unknown quantum state. In comparison to the existing BCQT protocols which their quantum channels are cluster and brown state, the proposed protocol is more practical within todays technology, since it merely uses Bell states as the quantum resource.
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.
Abstract Using an eight-qubit entangled state as the quantum channel, we propose a novel bidirectional controlled quantum teleportation scheme involving three participants: a controller, Charlie, and two communicators, Alice and Bob. Alice can teleport an arbitrary two-qubit target entangled state to Bob, while Bob simultaneously teleports another two-qubit entangled target state back to Alice conditional on Charlie’s authorization and assistance. Compared with some existing schemes, the proposed scheme achieves higher intrinsic efficiency with lower operation complexity. Moreover, this scheme is practically feasible with currently available quantum technologies.
A bidirectional quantum controlled teleportation scheme using the entanglement property of six-qubit maximally entangled state was presented.In the theoretical scheme,the sixqubit maximally entangled state was employed as the quantum channel linking three legitimate participants.Users were both sender and receiver.Alice transmitted an arbitrary single qubit state of qubit ato Bob and Bob transmitted an arbitrary single qubit state of qubit bto Alice via the control of the supervisor Charlie.Users carried out the Bell state measurements on their own particles and publicly announced their measurement results via a classical channel.Then they operated proper unitary transformation on their own particles,respectively.The bidirectional quantum controlled teleportation was successfully realized.