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Journal of Physics A Mathematical and Theoretical

Semi-quantum digital signature protocol based on Einstein–Podolsky–Rosen steering

Chenyang Xia, Huifang Li, Jie Hu

Published Jul 7, 2022• 13 citations
Publisher

Abstract

Abstract We present a new semi-quantum signature protocol which is suitable for participant without quantum capabilities to communicate securely. In addition, the application of EPR steering is first extended to the field of quantum digital signature in our protocol. On the one hand, in order to avoid attacks by attackers, our protocol allows one participant to determine the identity of the other, if the steering conditions for EPR steering are satisfied. On the other hand, original message can be transmitted between participants via EPR steering. Moreover, our scheme is simple to implement and more efficient. The security analysis shows that our protocol can avoid the attack of deny, forgery and entangle-measure.

DOI
10.1088/1751-8121/ac7f6d

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Journal of Networks•Nov 1, 2012•3 citations
Abstract We present a new semi-quantum signature protocol which is suitable for participant without quantum capabilities to communicate securely. In addition, the application of EPR steering is first extended to the field of quantum digital signature in our protocol. On the one hand, in order to avoid attacks by attackers, our protocol allows one participant to determine the identity of the other, if the steering conditions for EPR steering are satisfied. On the other hand, original message can be transmitted between participants via EPR steering. Moreover, our scheme is simple to implement and more efficient. The security analysis shows that our protocol can avoid the attack of deny, forgery and entangle-measure.
Two quantum digital signature schemes using the entanglement character of Einstein-Podolsky-Rosen(EPR) pairs were researched,and a protocol based on comparing the measurement result and the other protocol based on teleportation were proposed.In the first protocol,the communicators measured their EPR and compared the measurement results with the message M to implement signature and verification,in the meantime using quantum one-way function to guarantee its security.In the second protocol,the sender sent M to the receiver via quantum teleportation to implement signature and verification,whose security was guaranteed by the physical characteristics of quantum teleportation.These two protocols did not need a third party who was worthy of being trusted,neither need any keys in the communication process.Furthermore,they had unconditional security.
Abstract This study tackles critical issues in semi‐quantum signature (SQS) protocols to enhance security and efficiency. It revisits Xia et al.’s SQS protocol, which uses EPR steering for security but introduces inconsistencies in a semi‐quantum environment. Xia et al. assume that both the signatory and arbitrator have full quantum capabilities, while the verifier only has partial capabilities, making them a classical participant. However, their protocol requires the verifier to perform eavesdropping checks, necessitating quantum storage, which is not aligned with a semi‐quantum environment. The study proposes a novel SQS protocol using EPR steering and single photons, with pre‐shared keys to determine photon arrangements to address this. This ensures that only the communicating parties know the inspection and message transmission locations, solving the quantum storage issue and enabling efficient eavesdropper detection and identity authentication. This new protocol adheres to semi‐quantum principles and sets a foundation for future advancements in quantum cryptography and secure communication.
Asymmetric Einstein–Podolsky–Rosen (EPR) steering means the ability of one party to nonlocally “steer” the state in the other side through local measurements. The asymmetric property of EPR steering provides adequate security in one-sided device-independent secure quantum communication protocols. In this paper, we theoretically investigate the asymmetric EPR steering schemes between two subsystems of multipartite entangled states by an asymmetric modulation method. Two schemes, including tripartite entangled state to bipartite steering and quadripartite entangled state to tripartite steering, are investigated. By reconstructing the covariance matrix of continuous variable multipartite Gaussian states, we quantify the steerability of manipulating two different subsystems and demonstrate the EPR steering parameter versus various types of states’ parameters. Our work provides a reference for asymmetric quantum information processing and enriches resources for secure quantum networks.
Abstract Einstein–Podolsky–Rosen (EPR) steering allows two parties to verify their entanglement, even if one party’s measurements are untrusted. This concept has not only provided new insights into the nature of non-local spatial correlations in quantum mechanics, but also serves as a resource for one-sided device-independent quantum information tasks. Here, we investigate how EPR steering behaves when one-half of a maximally entangled pair of qudits (multidimensional quantum systems) is cloned by a universal cloning machine. We find that EPR steering, as verified by a criterion based on the mutual information between qudits, can only be found in one of the copy subsystems but not both. We prove that this is also true for the single-system analogue of EPR steering. We find that this restriction, which we term ‘no-cloning of quantum steering’, elucidates the physical reason why steering can be used to secure sources and channels against cloning-based attacks when implementing quantum communication and quantum computation protocols.
Einstein-Podolsky-Rosen (EPR) steering refers to the type of correlations described in the EPR paradox, where one observer seems to affect (”steer”) the state of other observer by using local measurements. There have been several works regarding characterization and quantification of EPR steering. One characteristic of this non-local correlation is that it can be asymmetric, while entanglement is symmetric. This asymmetric property is relevant for potential applications of EPR steering to quantum information, in particular to quantum cryptography and quantum teleportation. This latter refers to the process where one observer sends an unknown quantum state to Bob, who is in a different location. They communicate by classical means. Here we will show that EPR steering is a necessary resource to obtain secure continuous variable teleportation. We will also consider NOON states, which is an example of an entangled state. For this state, we will present a steering signature. This contribution reviews the work derived in Refs. [1] and [2], which was presented as an invited talk in ELAF 2017.
Arbitrated signature provides that the signatory signs a message with his private key by quantum cryptography, while the signature receiver verifies the signature with the arbitrator’s assistance. In this work, security analysis was given to the arbitrated quantum signature (AQS) and results showed that the receiver Bob and the attacker can forge the signature. Then this paper gives a new quantum one-time pads encryption method, which is suit for the quantum signature. At last, a new AQS protocol using Einstein-Podoisky-Rosen (EPR) pairs is proposed. By using of  quantum key distribution (QKD) and new quantum one-time pads, the new scheme can resist Shor’s attack. The new scheme has following advantages: (1) The scheme reduces the complexity of implementation and provides a higher efficiency in transmission; (2) Compares with some AQS schemes, the scheme can avoid being disavowed by the receiver; (3) Compares with other AQS schemes, the scheme also guarantees the arbitrator cannot forge the signature and it also ensure the receiver and other attacker cannot forge the signature.