Towards a Group Theoretic Quantum Encryption Scheme Based on Generalized Hidden Subgroup Problem

Simple item page
dc.creatorSrinivasan, N.
dc.creatorSanjeevakumar, C.
dc.creatorSudarsan, L.
dc.creatorRajan, M. Kasi
dc.creatorVenkatesh, R.
dc.date2005-04-04
dc.date.accessioned2026-07-07T03:22:48Z
dc.date.available2026-07-07T03:22:48Z
dc.descriptionThis paper introduces a completely new approach to encryption based on group theoretic quantum framework. Quantum cryptography has essentially focused only on key distribution and proceeded with classical encryption algorithm with the generated key. Here, we present a first step towards a quantum encryption scheme based on the solution for the hidden subgroup problem. The shared secret key K from QKD evolves as a generator for a subgroup H of a group G, in combination of the plain text data modeled as group elements. The key K helps in regeneration of the plain data on the receiver's side based on subgroup reconstruction. This paper models all quantum computations using group representations. A non-constructive proof is attempted towards the security of the encryption scheme. We also address the issues involved in a such a venture into the realms of Quantum data encryption.
dc.description8 pages, work of undergraduate students
dc.identifierhttps://arxiv.org/abs/cs/0504009
dc.identifierhttp://arxiv.org/abs/cs/0504009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/32693
dc.subjectDiscrete Mathematics
dc.subjectCryptography and Security
dc.titleTowards a Group Theoretic Quantum Encryption Scheme Based on Generalized Hidden Subgroup Problem
dc.typetext

Files

Collections

arXiv