A novel dynamic quantum secret sharing in high-dimensional quantum system

Abstract

This paper proposed a novel dynamic quantum secret sharing protocol in highdimensional quantum system. Via transmitting the particles circularly and local unitary operations, the dealer and all agents can share the multi-particle entangled GHZ state in high-dimensional quantum system. The proposed protocol allows a dealer to share the predetermined dits without directly distributing any piece of shares to agents. To recover the secrets, dealer and all agents only need to perform the singleparticle measurement operation and then implement the simple modular arithmetic operation according to their corresponding measurement results. Besides, in the proposed protocol, only a little fraction of entangled GHZ states are employed for eavesdropping check instead of lots of decoy (or detecting) particles used in previous protocols. Since the protocol is designed in the high-dimensional quantum system, it makes our protocol have higher resource capacity and better security in detecting the illegal eavesdropper than former protocols designed in two-dimensional quantum system. Security analyses indicate that the proposed protocol is immune to general attacks of intercept-and-resend, entangle-and-measure, collusion, and revoked a dishonest agent. Furthermore, the efficiency of proposed DQSS protocol in noise environment is deduced through quantum fidelity. The obtained results indicate that the efficiency of proposed protocol decreases with the increase in channel noise parameter and it has a quite different efficiency in four types of noise, i.e., dit-flip, d-phaseflip, amplitude-damping and depolarizing.

Combating errors in quantum communication: an integrated approach

“…However, there exist many special cases of GPC whose effect have been studied on various communication protocols 45 , 50 , 51 . We now consider these special cases of GPC.…”

“…The effect of a depolarizing channel on a state is to incoherently mix the state with white noise with a nonzero probability. The effect of this channel on various quantum communication protocols, for example, (1) on quantum teleportation 45 , (2) for a qutrit 46 , (3) on the key rate and hence, on security of quantum key distribution protocol 50 , and, (4) on quantum secret sharing protocol 51 have been studied.…”

“…In this section, we obtain a set of invariants for a qu N it passing through an amplitude damping channel. The effect of an amplitude-damping channel on several communication protocols such as quantum teleportation, secret sharing protocol, entanglement swapping protocol and quantum key distribution protocols has been studied 45 , 50 , 51 , 54 – 56 .…”

Controlling Remote Robots Based on Zidan’s Quantum Computing Model

“…As they apply quantum effects to their environments as they perform tasks, quantum robots get increasingly entangled [14,15]. Because of the convolution in quantum computing, quantum robots are expected to be faster, more error-free, and more capable of multitasking at a higher level than normal robots [16][17][18]. In other domains of research, such as military research, quantum robots may one day be able to provide more accurate medical diagnoses and finer data interpretation.…”

A new non-entangled quantum secret sharing protocol among different nodes in further quantum networks

“…In 2020, Mansour et al presented a QSS protocol using maximally entangled multi-qudit states [18]. In 2021, Hu et al proposed a novel dynamic QSS protocol in the high-dimensional quantum system based on transmitted particles and local unitary operations [19].…”