On the group-theoretic structure of a class of quantum dialogue protocols

被引：42

作者：

Shukla, Chitra ^{[1
]}

Kothari, Vivek ^{[1
]}

Banerjee, Anindita ^{[2
,3
]}

Pathak, Anirban ^{[1
,4
,5
]}

机构：

[1] Jaypee Inst Informat Technol, Noida 201307, UP, India

[2] Bose Inst, Dept Phys, Kolkata 700091, India

[3] Bose Inst, Ctr Astroparticle Phys & Space Sci, Kolkata 700091, India

[4] Palacky Univ, RCPTM, Joint Lab Opt, Olomouc 77146, Czech Republic

[5] Palacky Univ, Inst Phys, Acad Sci Czech Republ, Fac Sci, Olomouc 77146, Czech Republic

来源：

PHYSICS LETTERS A | 2013年 / 377卷 / 07期

关键词：

Quantum dialogue; Dense coding; Socialist millionaire problem; Secure quantum communication; Pauli groups; KEY DISTRIBUTION; SECURE DIALOGUE; BELL STATES; COMMUNICATION; PHOTONS;

D O I：

10.1016/j.physleta.2012.12.024

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A sufficient condition for implementation of the quantum dialogue protocol is obtained and it is shown that the set of unitary operators used for the purpose must form a group under multiplication. A generalized protocol of quantum dialogue is obtained using the sufficient condition. Further, several examples of possible groups of unitary operators and quantum states that may be used for implementation of quantum dialogue are systematically generated. As examples, it is shown that GHZ state, GHZ-like state, W state, 4 and 5-qubit Cluster states, Omega state, Brown state, Q(4) state and Q(5) state can be used to implement quantum dialogue protocol. It is also shown that if a quantum system is found to be suitable for quantum dialogue then that can provide solution of the socialist millionaire problem too. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：518 / 527

页数：10

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