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

Shukla, Chitra; Kothari, Vivek; Banerjee, Anindita; Pathak, Anirban

doi:10.1016/j.physleta.2012.12.024

Cited by 46 publications

(57 citation statements)

References 33 publications

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“…In the recent past, it has been established that a scheme for quantum dialogue can be modified to provide a solution for the quantum private comparison, which can be viewed as a special form of socialist millionaire problem [16]. In the semi-quantum private comparison (SQPC) task [34], two classical users wish to compare their secrets of n-bits with the help of an untrusted third party possessing quantum resources.…”

Section: Semi-quantum Dialoguementioning

confidence: 99%

Semi-quantum communication: protocols for key agreement, controlled secure direct communication and dialogue

Shukla

Thapliyal

Pathak

2017

Quantum Inf Process

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108

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Semi-quantum protocols that allow some of the users to remain classical are proposed for a large class of problems associated with secure communication and secure multiparty computation. Specifically, first time semi-quantum protocols are proposed for key agreement, controlled deterministic secure communication and dialogue, and it is shown that the semi-quantum protocols for controlled deterministic secure communication and dialogue can be reduced to semi-quantum protocols for ecommerce and private comparison (socialist millionaire problem), respectively. Complementing with the earlier proposed semi-quantum schemes for key distribution, secret sharing and deterministic secure communication, set of schemes proposed here and subsequent discussions have established that almost every secure communication and computation tasks that can be performed using fully quantum protocols can also be performed in semi-quantum manner. Further, it addresses a fundamental question in context of a large number problems-how much quantumness is (how many quantum parties are) required to perform a specific secure communication task? Some of the proposed schemes are completely orthogonal-state-based, and thus, fundamentally different from the existing semi-quantum schemes that are conjugate-coding-based. Security, efficiency and applicability of the proposed schemes have been discussed with appropriate importance.Keywords: Semi-quantum protocol, quantum communication, key agreement, quantum dialogue, deterministic secure quantum communication, secure direct quantum communication. * plored using quantum resources. On the one hand, a large number of conjugate-coding-based (BB84type) schemes [2-4] have been proposed for various tasks including QKD [2-4], quantum key agreement (QKA) [5], quantum secure direct communication (QSDC) [6, 7], deterministic secure quantum communication (DSQC) [8,9], quantum e-commerce [10], quantum dialogue [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30], etc., on the other hand, serious attempts have been made to answer two extremely important foundational questions-(1) Is conjugate coding necessary for secure quantum communication? (2) How much quantumness is needed for achieving unconditional security? Alternatively, whether all the users involved in a secure communication scheme are required to be quantum in the sense of their capacity to perform quantum measurement, prepare quantum states in more than one mutually unbiased basis (MUBs) and/or the ability to store quantum information? Efforts to answer the first question have led to a set of orthogonal-state-based schemes [5,[31][32][33][34], where security is obtained without using our inability to simultaneously measure a quantum state using two or more MUBs. These orthogonal-state-based schemes [5,[31][32][33][34] have strongly established that any cryptographic task that can be performed using a conjugate-coding-based scheme can also be performed using an orthogonal-state-based scheme. Similarly, efforts to answer the sec...

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Section: Semi-quantum Dialoguementioning

confidence: 99%

Semi-quantum communication: protocols for key agreement, controlled secure direct communication and dialogue

Shukla

Thapliyal

Pathak

2017

Quantum Inf Process

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108

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“…Further, entanglement is essential for implementation of various variants of teleportation and remote state preparation, such as probabilistic teleportation [180], teleportation using non-orthogonal states [181], quantum information splitting [182], joint remote state preparation [183], hierarchical joint remote state preparation [184], bidirectional controlled state teleportation [185,186], bidirectional controlled remote state preparation [187,186], bidirectional controlled joint remote state preparation [187,186]. It can be used to implement schemes for secure quantum communication, like-Ekert's protocol for QKD [188], Ping-pong protocol for QSDC [170], protocols for two-way secure direct quantum communication known as quantum dialogue 19 [191,192,193], and its variant asymmetric quantum dialogue [194], quantum key agreement [195,196] where two parties contribute equally to construct a key and no that the scheme proposed in [165] was actually a scheme for quantum secure direct communication. 18 Quantum teleportation is a very interesting process that nicely illustrates the power of quantum mechanics.…”

Section: Entangled State and Its Applicationsmentioning

confidence: 99%

Classical light vs. nonclassical light: characterizations and interesting applications

Pathak

Ghatak

2017

Journal of Electromagnetic Waves and Applications

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We briefly review the ideas that have shaped modern optics and have led to various applications of light ranging from spectroscopy to astrophysics, and street lights to quantum communication. The review is primarily focused on the modern applications of classical light and nonclassical light. Specific attention has been given to the applications of squeezed, antibunched, and entangled states of radiation field. Applications of Fock states (especially single photon states) in the field of quantum communication are also discussed. *

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“…Unfortunately, all the variants [13][14][15][16][17][18] of [12] suffer from such information leakage.…”

Section: Comparison With Existing Qd Protocolsmentioning

confidence: 99%

Measurement device-independent quantum dialogue

Maitra

2017

Quantum Inf Process

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Very recently, the experimental demonstration of Quantum Secure Direct Communication (QSDC) with state-of-the-art atomic quantum memory has been reported (Phys. Rev. Lett., 2017). Quantum Dialogue (QD) falls under QSDC where the secrete messages are communicated simultaneously between two legitimate parties. The successful experimental demonstration of QSDC opens up the possibilities for practical implementation of QD protocols. Thus, it is necessary to analyze the practical security issues of QD protocols for future implementation. Since the very first proposal for QD by Nguyen (Phys. Lett. A, 2004) a large number of variants and extensions have been presented till date. However, all of those leak half of the secret bits to the adversary through classical communications of the measurement results. In this direction, motivated by the idea of Lo et al. (Phys. Rev. Lett., 2012), we propose a Measurement Device Independent Quantum Dialogue (MDI-QD) scheme which is resistant to such information leakage as well as side channel attacks. In the proposed protocol, Alice and Bob, two legitimate parties, are allowed to prepare the states only. The states are measured by an untrusted third party (UTP) who may himself behave as an adversary. We show that our protocol is secure under this adversarial model. The current protocol does not require any quantum memory and thus it is inherently robust against memory attacks. Such robustness might not be guaranteed in the QSDC protocol with quantum memory (Phys. Rev. Lett., 2017).

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

Cited by 46 publications

References 33 publications

Semi-quantum communication: protocols for key agreement, controlled secure direct communication and dialogue

Semi-quantum communication: protocols for key agreement, controlled secure direct communication and dialogue

Classical light vs. nonclassical light: characterizations and interesting applications

Measurement device-independent quantum dialogue

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