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International Journal of Theoretical Physics

A Bidirectional Teleportation Protocol for Arbitrary Two-qubit State Under the Supervision of a Third Party

Binayak Samadder Choudhury, Arpan Dhara

Published Nov 20, 2015• 39 citations
Publisher
DOI
10.1007/s10773-015-2865-y

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Abstract A bidirectional quantum teleportation protocol is proposed for the transfer of two-qubit entangled states between two parties utilizing a six-qubit cluster state quantum channel. The protocol enhances the resource efficiency by allowing the reconstruction of teleported states without the use of CNOT operations or auxiliary qubits at the receiver’s end. Comparative analysis with existing schemes highlights the higher intrinsic efficiency of the proposed approach for bidirectional quantum teleportation. The protocol is further generalized to enable the bidirectional teleportation of arbitrary n-qubit entangled states using the same six-qubit quantum resource, demonstrating scalability. The protocol is simulated under various noise models to evaluate its robustness, with fidelity assessments carried out using the IBM Qiskit SDK. A complete teleportation circuit implementing the protocol is designed using standard quantum gates.
We present a bidirectional modification of the standard one-qubit teleportation protocol, where both Alice and Bob transfer noisy versions of their qubit states to each other by using single Bell state and auxiliary (trigger) qubits. Three schemes are considered: the first where the actions of parties are governed by two independent quantum random triggers, the second with single random trigger, and the third as a mixture of the first two. We calculate the fidelities of teleportation for all schemes and find a condition on correlation between trigger qubits in the mixed scheme which allows us to overcome the classical fidelity boundary of 2/3. We apply the Choi--Jamiolkowski isomorphism to the quantum channels obtained in order to investigate an interplay between their ability to transfer the information, entanglement-breaking property, and auxiliary classical communication needed to form correlations between trigger qubits. The suggested scheme for bidirectional teleportation can be realized by using current experimental tools.