Improved cryptographic security in teleportation with q-deformed non-maximal entangled states

Fuente: arXiv
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Autores principales: Dasgupta, Prabal, Gangopadhyay, Debashis
Formato: Preprint
Publicado: 2026
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author Dasgupta, Prabal
Gangopadhyay, Debashis
author_facet Dasgupta, Prabal
Gangopadhyay, Debashis
contents In this work the machinery of q-deformed algebras are used to enhance cryptographic security during teleportation. We use q-deformed harmonic oscillator states to develop a novel method of teleportation. The deformed states can be expressed in terms of standard oscillator states and the expressions contain certain arbitrary functions of $q$. It is the presence of these arbitrary functions that allows an enhancement of cryptographic security. The specifics are : (a) q-deformed Bell-like states are constructed which reduce to the usual Bell states when the deformation parameter $q\rightarrow 1$. These deformed states form an orthonormal basis for q-deformed entangled bipartite states when certain arbitrary functions of $q$ satisfy a constraint. (b) We discuss the generalisation of the usual teleportation protocol with non-maximally entangled states. This generalisation is then employed to construct two new protocols using q-deformed non-maximally entangled states. These states have additional parameters and these have to be shared for decryption after teleportation. Consequently, the cryptographic security is improved.
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id arxiv_https___arxiv_org_abs_2601_15902
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Improved cryptographic security in teleportation with q-deformed non-maximal entangled states
Dasgupta, Prabal
Gangopadhyay, Debashis
Quantum Physics
In this work the machinery of q-deformed algebras are used to enhance cryptographic security during teleportation. We use q-deformed harmonic oscillator states to develop a novel method of teleportation. The deformed states can be expressed in terms of standard oscillator states and the expressions contain certain arbitrary functions of $q$. It is the presence of these arbitrary functions that allows an enhancement of cryptographic security. The specifics are : (a) q-deformed Bell-like states are constructed which reduce to the usual Bell states when the deformation parameter $q\rightarrow 1$. These deformed states form an orthonormal basis for q-deformed entangled bipartite states when certain arbitrary functions of $q$ satisfy a constraint. (b) We discuss the generalisation of the usual teleportation protocol with non-maximally entangled states. This generalisation is then employed to construct two new protocols using q-deformed non-maximally entangled states. These states have additional parameters and these have to be shared for decryption after teleportation. Consequently, the cryptographic security is improved.
title Improved cryptographic security in teleportation with q-deformed non-maximal entangled states
topic Quantum Physics
url https://arxiv.org/abs/2601.15902