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Journal of Shanxi University

Application of Measurement Collapse in Secret Sharing

Ren Hong-qiu

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

The security of communication depends on the security of key,the manage of key is important for the distribution of communication,Secret sharing is a protocol to accomplish the storage of the key distribution.In this paper,the secret sharing with a two mode entanglement and single mode squeezing is discussed.It is shown that the secret sharing via three mode entanglement can be replaced by this scheme with two mode entanglement.The information can be shared in two outputs via sending two copies of the information from measurement collapse in input station to the output station.

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The security of communication depends on the security of key,the manage of key is important for the distribution of communication,Secret sharing is a protocol to accomplish the storage of the key distribution.In this paper,the secret sharing with a two mode entanglement and single mode squeezing is discussed.It is shown that the secret sharing via three mode entanglement can be replaced by this scheme with two mode entanglement.The information can be shared in two outputs via sending two copies of the information from measurement collapse in input station to the output station.
The insecurity of the protocols for quantum secret sharing(QSS) based on entanglement swapping was analyzed,and a new method of QSS based on entanglement swapping was proposed.The entanglement states were all generated by the sender,and the order of two photons sent to the same agent was randomly changed.After the photons arrived at the receiver,for the detection mode,the order of the two photons was announced,so that the two parties detected the security of the quantum channel;for the information mode,the two receivers respectively did Bell measurement on the two photons they owned,and then communicated through classical channel to share the secret key with the sender.Analysis results show that this protocol not only ensures the validity and security of the shared information,but also only uses the entanglement states of two photons without unitary operation.
The characteristics of W state are introduced.The coefficients of W state used for quantum key distribution and secret sharing are proved to be uniform in symmetrical form.The corresponding quantum key distribution scheme via W state is proposed.To insure the security of the proposed quantum key distribution protocol, the receiver switches randomly the message mode to control mode asymmetrically.The security of the protocol is discussed.Quantum secret sharing scheme is accordingly proposed.And the security of the schemes is also discussed.Compared with the quantum key distribution and secret sharing schemes with Greenberger-Horne-Zeilinger(GHZ) states,the efficiency of the proposed schemes is low. The purpose of this paper is just to prove that some states except for GHZ states can be used for quantum key distribution and secret sharing.
Transmitting message in secret is getting more and more important nowadays. In the classical world, the message we sent run the risk of being intercepted by an attacker. As a result, we have to encrypt the message, or send it using a private channel. However, if we transmit messages via such methods, there are still some ways to decipher the information. For example, a powerful computer can be used to decrypt the message or try to steal the message from the private channel. In quantum cryptography, entanglement can be used as a secure channel to transmit information with absolute secrecy. From this perspective, quantum entanglement pairs are equivalent to a quantum private key. However, like the classical key distribution problem, the entanglement has to be shared before it can be used. In this paper, we propose a protocol that can be used to distribute such entanglement pairs securely, so they can be subsequently used to transmit messages with perfect security. The security of this protocol is based on the laws of nature, instead of unproven mathematical hard problems.
Abstract Quantum secret sharing (QSS) is a multi-party quantum communication mode, which allows the dealer to split a key into several parts and send each part of a key to a participant. The participants can obtain the key only by cooperation. Entanglement swapping is a promising method to construct the entanglement channel. In the paper, we propose a multiple-participant measurement-device-independent QSS protocol based on entanglement swapping. All the measurement tasks are handed over to an untrusted measurement party, so that our protocol can resist all possible attacks from imperfect measurement devices. Our protocol requires the linear-optical Bell state analysis, which is easy to operate. Our protocol has application potential in the future quantum communication field.
This paper presents an improved secret sharing protocol leveraging the principles of quantum decoherence. The core claim is to design a protocol that significantly reduces the number of shares required while maintaining the security of the secret. This is achieved through a novel approach to key partitioning and reconstruction based on the unique properties of quantum decoherence. The protocol minimizes redundancy within the shared key, thereby enhancing security. The key innovation lies in the application of quantum decoherence to fundamentally reduce the number of shares needed for a given secret, addressing limitations inherent in classical secret sharing schemes. The design incorporates error correction techniques alongside the decoherence-based key management, providing a robust solution. Mathematical formulations are provided to demonstrate the protocol's operation and security analysis. The theoretical analysis suggests a reduction in key size compared to traditional schemes, offering a potentially transformative approach to secure key distribution.
Secret sharing is a protocol in which a ``boss'' wants to send a classical message secretly to two ``subordinates,'' such that none of the subordinates is able to know the message alone, while they can find it if they cooperate. Quantum mechanics is known to allow for such a possibility. We analyze tolerable quantum bit error rates in such secret sharing protocols in the physically relevant case when the eavesdropping is local with respect to the two channels of information transfer from the boss to the two subordinates. We find that using entangled encoding states is advantageous to legitimate users of the protocol. We therefore find that entanglement is useful for secure quantum communication. We also find that bound entangled states with positive partial transpose are not useful as a local eavesdropping resource. Moreover, we provide a criterion for security in secret sharing---a parallel of the Csisz\'ar-K\"orner criterion in single-receiver classical cryptography.