Applications of quantum cryptographic switch: Various tasks related to controlled quantum communication can be performed using Bell states and permutation of particles

TL;DR

This paper demonstrates that various controlled quantum communication tasks can be implemented using only Bell states and particle permutation, simplifying the process compared to multi-qubit entanglement schemes.

Contribution

The authors introduce protocols that utilize Bell states and permutation of particles to perform controlled quantum communication tasks, offering a simpler alternative to complex multi-qubit entanglement methods.

Findings

Protocols are feasible with Bell states and PoP, reducing complexity.

Performance under amplitude and phase damping noise is analyzed.

All schemes can be viewed as applications of the quantum cryptographic switch.

Abstract

Recently, several aspects of controlled quantum communication (e.g., bidirectional controlled state teleportation, controlled quantum secure direct communication, controlled quantum dialogue, etc.) have been studied using $n$-qubit ($n\geq3$) entanglement. Specially, a large number of schemes for bidirectional controlled state teleportation are proposed using $m$-qubit entanglement ($m\in\{5,6,7\}$). Here, we propose a set of protocols to illustrate that it is possible to realize all these tasks related to controlled quantum communication using only Bell states and permutation of particles (PoP). As the generation and maintenance of a Bell state is much easier than a multi-partite entanglement, the proposed strategy has a clear advantage over the existing proposals. Further, it is shown that all the schemes proposed here may be viewed as applications of the concept of quantum cryptographic switch which was recently introduced by some of us. The performances of the proposed protocols as subjected to the amplitude damping and phase damping noise on the channels are also discussed.