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IEEE International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS)

New Quantum Secret Sharing Protocol Using Entangled Qutrits

Yevhen Vasiliu, Igor V. Limar, Tomasz Gancarczyk, Mikołaj Karpiński

Published Sep 1, 2019• 2 citations
Publisher

Abstract

A new quantum secret sharing protocol based on the ping-pong protocol of quantum secure direct communication is proposed. The pairs of entangled qutrits are used in protocol, which allows an increase in the information capacity compared with protocols based on entangled qubits. The detection of channel eavesdropping used in the protocol is being implemented in random moments of time, thereby it is possible do not use the significant amount of quantum memory. The security of the proposed protocol to attacks is considered. A method for additional amplification of the security to an eavesdropping attack in communication channels for the developed protocol is proposed.

DOI
10.1109/idaacs.2019.8924256

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A new quantum secret sharing protocol based on the ping-pong protocol of quantum secure direct communication is proposed. The pairs of entangled qutrits are used in protocol, which allows an increase in the information capacity compared with protocols based on entangled qubits. The detection of channel eavesdropping used in the protocol is being implemented in random moments of time, thereby it is possible do not use the significant amount of quantum memory. The security of the proposed protocol to attacks is considered. A method for additional amplification of the security to an eavesdropping attack in communication channels for the developed protocol is proposed.
The new quantum protocol of secret sharing between two subjects, which is based on the ping-pong protocol of quantum secure direct communication, is proposed. This protocol is based on scheme of transmission of the qubits by blocks, which is well known from publications. However, in contrast to this scheme in the proposed protocol the data transmission in a random way alternates with channel check on eavesdropping. Thereby the need for periodic storage of considerable number of qubits disappears. It will let to implement the procedure of secret sharing with assisting state-of-the-art technology of quantum information science. The proposed secret sharing protocol, which also uses the earlier developed by co-author the method of enhancement of the ping-pong protocols security, provides the high level of security to the outer malefactor’s eavesdropping attack. It is the advantage of this protocol over the appropriate classical (non-quantum) schemes.
Quantum cryptography protocols using entangled qubit pairs can increase the rate and security of information exchange through a quantum channel. Usually those protocols are non-deterministic, i.e. a classical bit is encoded in a quantum state, but the actual bit value cannot be determined. Therefore they request the transmission of additional information through a public channel. By contrast, the ping-pong coding scheme based on entangled photons allows for deterministic and direct key distribution. No qubit has to be discarded and information can be decoded without the need for a subsequent transmission of additional information. Communication through a public channel nevertheless is necessary to ensure asymptotical security against arbitrary eavesdropping attacks.
Ping-Pong quantum communication protocol may be employed to transmit deterministically information, so it has instrigued mang researchers. However, there are drawbacks on the security due to the symmetry of the employed two-way quantum channel. In this paper we propose a new attack strategy to eavesdrop the initially transmitted information based on the techniques of quantum error correction code (QECC). In addition, an attack strategy of Ping-Pong scheme based either entanglement state or nonorthogonal state is proofed and demonstrated, respectively. Furthermore, information obtained by Eve and the possible probability detected by the legitimate communicators are analyzed by employing information theorems. Detail proofs and analysis illustrate all previous Ping-Pong quantum communication schemes are insecure, i.e., the eavesdropper may obtain all available information without being detected.
Quantum secure direct communication protocols offer confidential transmission of classic information over quantum channel without prior key agreement. The ping-pong based protocols provide asymptotic security and detailed analysis of security level provided by each variant of the protocol is required. The paper presents a general method of calculation of the eavesdropped information as a function of the attack detection probability. The method is applied to the ping-pong protocol based on completely entangled pairs of qudits. The upper and lower bounds on the amount of the leaked information and eavesdropping detection probability are provided.
Quantum secure direct communication protocols offer confidential transmission of classic information over the quantum channel without a prior key agreement. The ping-pong based protocols provide asymptotic security and detailed analysis of the security level provided by each variant of the protocol is required. The paper presents a general method of calculation of the eavesdropped information as a function of the attack detection probability. The method is applied to the ping-pong protocol based on completely entangled pairs of qudits. The lower and upper bound on the amount of the leaked information is provided.
The quantum secure direct communication is a new-style quantum communication scheme. It arouses much interest recently. The ping-pong protocol proposed by Bostroem and Felbinger is one of relatively mature quantum secure direct communication protocols, which is asymptotically secure under Eve's eavesdropping attack. But it ignores the message authentication. Being aimed at this problem, we propose a novel ping-pong protocol with authentication. The former has two operation modes, or the message mode and the control mode, which are used to send message and detect Eve's attack, respectively. But it just detects Eve's eavesdropping attack and does not authenticate the sent message in the control mode. The latter has also the above two operation modes, which employs a braid-based key agreement protocol for both the parties participating in communication to share a secret, whose size and magnitude are undecided in advance. Using the shared secret, it not only detects Eve's eavesdropping attack, but also effectively performs the message authentication in the control mode. It is also asymptotically secure under Eve's eavesdropping attack. The security of the proposed protocol is based on the no-cloning theorem, the correlations of quantum entanglement and the fact that the p-th root finding problem on braid groups is intractable even on quantum computers, as well as classical computers. In addition different from the original ping-pong protocol, the communication was initiated by the sender Alice instead of by the receiver Bob. This corresponds to the way of common communications. The present protocol not only can resist the attacks known recently, but should be experimentally feasible using today's technology.