Bidirectional quantum teleportation of two-qubit entangled state by using G-state as a quantum channel

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.

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

“…Compared with previous BCQT schemes [19,21,22], the proposed BCQT scheme requires less consumption of both quantum and classical resources. The improved BCQT scheme 1↔1 [15] is a special case (m=n = 1) of our proposed BCQT scheme m ↔ n. For m=n = 1, the intrinsic efficiency [32,33] of our proposed BCQT scheme is same as that of the improved BCQT scheme proposed in [15] but more than that of the BCQT schemes proposed in [13,16,[18][19][20]22]. The intrinsic efficiency of our proposed scheme increases as the number of qubits in unknown quantum states increases.…”

Symmetric Bidirectional Quantum Teleportation using a Six-Qubit Cluster State as a Quantum Channel

“…At the end of the protocol we again perform Toffoli gate to restore the target three-qubit states. The previous protocol for N -qubit BQT [33], employs 2(2N − 1) CNOT-gate operations, Hadamard gate operations for its implementation. In our, scheme only Four Toffoli gate operations are necessary for N -qubit BQT thereby reducing the operational complexity and quantum resources involved in the BQT scheme.…”

“…Several two-party BQT protocols have been proposed [27][28][29][30][31][32][33]. Shang et al [27], proposed an asymmetric bidirectional quantum teleportation protocol in absence of the controller.…”

“…This use of non-local CNOT operation was eliminated by Verma [32] by proposing a modified BQT protocol. In, order to employ N-qubit BQT Verma [33] proposed a protocol with one of the G-state [14] as a quantum channel. In this protocol, to achieve faithful transmission of N-qubits 2(2N-1)-CNOT gate operations along with two Hadamard gate operations are required.…”

“…We also generalize our proposed protocol for implementation to N-qubit BQT. The novelity of our scheme as compared to the previous protocols [27][28][29][30][31][32][33] is (i) only four Toffoli gate operations are required which is independent of the number (N) of qubits to be teleported, (ii) operation complexity is greatly reduced, (iii) by introducing the auxiliary qubits the intrinsic efficiency is highest till now (50%) achieved in any bidirectional quantum teleportation protocol.…”