A Symmetric Extensible Protocol for Quantum Secret Sharing

Ampatzis, Michael; Andronikos, Theodore

doi:10.3390/sym14081692

Cited by 11 publications

(7 citation statements)

References 41 publications

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“…[26] is invaluable, and for more recent developments pertaining to state-of-the-art cryprographic protocols we refer to Refs. [27][28][29][30]. Some of these ideas have been extended in Ref.…”

Section: Related Workmentioning

confidence: 99%

Quantum Tapsilou—A Quantum Game Inspired by the Traditional Greek Coin Tossing Game Tapsilou

Kastampolidou,

Andronikos

2023

Games

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This paper introduces a new quantum game called Quantum Tapsilou that is inspired by the classical traditional Greek coin tossing game tapsilou. The new quantum game, despite its increased complexity and scope, retains the most important characteristic of the traditional game. In the classical game, both players have 14 probability to win. The quantum version retains this characteristic feature, which is that both players have the same probability to win, but only now this probability varies considerably and depends on previous moves and choices. The two most important novelties of Quantum Tapsilou can be attributed to its implementation of entanglement via the use of rotation gates instead of Hadamard gates, which generates Bell-like states with unequal probability amplitudes, and the integral use of groups. In Quantum Tapsilou both players agree on a specific cyclic rotation group of order n, for some sufficiently large n. The game is based on the chosen group, in the sense that both players will draw their moves from its elements. More specifically, both players will pick rotations from this group to realize their actions using the corresponding Ry rotation gates. In the Quantum Tapsilou game, it is equally probable for both players to win. This fact is in accordance with a previous result in the literature showing that quantum games where both players choose their actions from the same group, exhibit perfect symmetry by providing each player with the possibility to pick the move that counteracts the other player’s action.

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Section: Related Workmentioning

confidence: 99%

Quantum Tapsilou—A Quantum Game Inspired by the Traditional Greek Coin Tossing Game Tapsilou

Kastampolidou,

Andronikos

2023

Games

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“…In a similar vein, quantum coin flipping has served as a crucial component in numerous quantum cryptographic protocols, where familiar figures like Alice and Bob take on the roles of remote parties striving to reach a consensus on a random bit. For a comprehensive presentation, the seminal work in [16] is invaluable, and for some state-of-the-art cryprographic protocols we refer to [17,18,19,20,21]). Some of these ideas have been extended in [22] to quantum dice rolling in scenarios involving multiple outcomes and more than two parties.…”

Section: Related Workmentioning

confidence: 99%

Game Theory and Other Unconventional Approaches to Biological Systems

Kastampolidou

Andronikos

2021

Handbook of Computational Neurodegeneration

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This paper introduces a new quantum game called Quantum Tapsilou that is inspired from the classical traditional Greek coin tossing game tapsilou. The new quantum game, despite its increased complexity and scope, retains the crucial characteristic of the traditional game, namely that of fairness. In the classical game, both players have 1 4 probability to win. In its quantum version, both players have equal chances to win too, but now the probability to win varies considerably, depending on previous choices. The two most important novelties of Quantum Tapsilou can be attributed to its implementation of entanglement via the use of rotation gates instead of Hadamard gates, which generates Bell-like states with unequal probability amplitudes, and the integral use of groups. In Quantum Tapsilou both players agree on a specific cyclic rotation group of order 𝑛, for some sufficiently large 𝑛, which is the group upon which the game will be based, in the sense both players will pick rotations from this group to realize their actions using the corresponding 𝑅 𝑦 rotation gates. This fact is in accordance with a previous result in the literature showing that symmetric quantum games, where both players draw their moves from the same group, are fair.

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“…In his 1991 influential paper, Ekert proved that key distribution is possible with the use of EPR pairs. Immediately afterwards, research in this field produced a plethora of entanglement-based protocols for quantum key distribution [11][12][13][14][15][16][17]. Quantum cryptographic protocols have the potential to enhance the security not only of established applications but also of new and emerging technologies, such as cloud computing, cloud storage [18,19], or blockchain [20].…”

Section: Introductionmentioning

confidence: 99%

An Entanglement-Based Protocol for Simultaneous Reciprocal Information Exchange between 2 Players

Andronikos

Sirokofskich

2023

Electronics

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Let us consider a situation where two information brokers, whose currency is, of course, information, need to reciprocally exchange information. The two brokers, being somewhat distrustful, would like a third, mutually trusted entity to be involved in the exchange process so as to guarantee the successful completion of the transaction and also verify that it indeed took place. Can this be completed in such a way that both brokers receive their information simultaneously and securely, without the trusted intermediary knowing the exchanged information? This work presents and rigorously analyzes a new quantum entanglement-based protocol that provides a solution to the above problem. The proposed protocol is aptly named the entanglement-based reciprocal simultaneous information exchange protocol. Its security is ultimately based on the assumption of the existence of a third, trusted party. Although the reciprocal information flow is between our two information brokers, the third entity plays a crucial role in mediating this process by being a guarantor and a verifier. The phenomenon of quantum entanglement is the cornerstone of this protocol, as it makes its implementation possible even when all entities are spatially separated and ensures that, upon completion, the trusted third party remains oblivious to the actual information that was exchanged.

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A Symmetric Extensible Protocol for Quantum Secret Sharing

Cited by 11 publications

References 41 publications

Quantum Tapsilou—A Quantum Game Inspired by the Traditional Greek Coin Tossing Game Tapsilou

Quantum Tapsilou—A Quantum Game Inspired by the Traditional Greek Coin Tossing Game Tapsilou

Game Theory and Other Unconventional Approaches to Biological Systems

An Entanglement-Based Protocol for Simultaneous Reciprocal Information Exchange between 2 Players

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