Bidirectional controlled teleportation by using 5-qubit states: A generalized view

TL;DR

This paper introduces a broad class of 5-qubit quantum states capable of facilitating bidirectional controlled teleportation, extending previous specific cases and enabling probabilistic variants with applications in quantum communication.

Contribution

It generalizes existing 5-qubit states for bidirectional controlled teleportation, showing the existence of infinitely many such states and extending the concept to probabilistic teleportation.

Findings

Identifies a class of 5-qubit states suitable for bidirectional controlled teleportation

Shows that two previously reported cases are special instances of this class

Proposes extension to probabilistic teleportation with potential quantum communication applications

Abstract

Recently bidirectional controlled perfect teleportation using 5-qubit states are reported in (Int. J. Theor. Phys. (2013) DOI 10.1007/s10773-013-1484-8 and ibid, (2013) DOI 10.1007/s10773-012-1208-5). In this paper we have shown that there exists a class of 5-qubit quantum states that can be used for bidirectional controlled teleportation. Two out of the three reported cases are the special cases of the proposed class of 5-qubit quantum states and one of them is not strictly a case of controlled bidirectional quantum teleportation. Further, we have shown that one can in principle, construct infinitely many 5-qubit quantum states for this purpose. We have also shown that the idea can be extended to bidirectional controlled probabilistic teleportation. Some potential applications of the proposed scheme and its modified versions are also discussed in relation with the implementation of quantum remote control and quantum cryptography.