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Deterministic quantum communication using the symmetric W state

Tsai Chia

Published Jan 1, 2013• 0 citations
OpenAlex

Abstract

This study proposes a new coding function for the symmetric W state.Based on the new coding function,a theoretical protocol of deterministic quantum communication(DQC) is proposed.The sender can use the proposed coding function to encode his/her message,and the receiver can perform the imperfect Bell measurement to obtain the sender's message.In comparison to the existing DQC protocols that also use the W class state,the proposed protocol is more efcient and also more practical within today's technology.Moreover,the security of this protocol is analyzed to show that any eavesdropper will be detected with a very high probability under both the ideal and the noisy quantum channel.

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This study proposes a new coding function for the symmetric W state.Based on the new coding function,a theoretical protocol of deterministic quantum communication(DQC) is proposed.The sender can use the proposed coding function to encode his/her message,and the receiver can perform the imperfect Bell measurement to obtain the sender's message.In comparison to the existing DQC protocols that also use the W class state,the proposed protocol is more efcient and also more practical within today's technology.Moreover,the security of this protocol is analyzed to show that any eavesdropper will be detected with a very high probability under both the ideal and the noisy quantum channel.
A quantum secure direct communication (QSDC) protocol is presented. In the proposed protocol, the omega state is introduced to detect the eavesdropping during the quantum communication, eavesdropping behaviors will change the state of the omega state, and the sender Alice and the receiver Bob detect eavesdropping through the state measurement results. The relationship between the amount of information that the eavesdropper gets and the probability of being detected is also given. Compared with the original QSDC protocol based on the Bell state, when the same amount of information is obtained, the eavesdropper must face a higher detection probability in the proposed protocol, and the eavesdropper mostly can obtain 0.676 (bit) of information. The security analysis is also given, and the result indicates that the proposed protocol is more secure. A simulation based on the law of large number and the Monte Carlo method is also given, and the mean square error is introduced to describe the similarity between the simulation data and the theoretical value. The simulation result indicates that the proposed security in an ideal environment and the security analysis are correct, and the proposed protocol is more secure by sending more quantum particles in detecting eavesdropping.
In order to improve the efficiency of key distribution,a quantum key distribution protocol based on W state and Bell state entanglement was proposed via quantum dense coding.In the scheme,the sender Alice codes the key successfully via local unitary operations,and the receiver Bob obtains the key with jointing measurement.All states can be used to transmit messages except those choosen for checking eavesdroppers,5 bits deterministic key were distributed by 5 particles.Security analysis result by using information theory shows that the scheme is secure,any eavesdroppers can be found in time.
This paper presents a deterministic BB84 (dBB84) protocol that not only inherits the unconditional security of the original BB84 protocol but also enables the receiver to deterministically measure and decode all qubits sent by the sender. The proposed dBB84 protocol is then extended to be a deterministic secure quantum communication (DSQC) protocol wherein the sender can securely transmit secret messages to the receiver via quantum channels and the receiver can read out the secret messages only after receiving an additional classical bit for each qubit from the sender. In contrast to the existing single-photon-based secure communication protocols, which require the sender to either prepare two-qubit photon states or to establish two-way quantum channels with the receiver, the newly proposed protocol requires the sender to prepare single-qubit photon states for message transmissions and only set up one-way quantum channels to the receiver. Therefore, the proposed protocol is very suitable and feasible in practical applications.
Quantum communication is an important branch of quantum technology. It can safely transmit private information between legitimate parties and its unconditional security is guaranteed by quantum physics. So far, deterministic secure quantum communication without entanglement usually transmits single photons in two-way quantum channels. We propose a deterministic secure quantum communication proposal, and it requires a one-way quantum channel and a classical channel. In our protocol, a sender encodes logical bits by using two conjugate bases consisting of the polarization and time-bin degrees of freedom of a photon and transmits it to a receiver over a quantum channel. Upon receiving this photon, the receiver measures it randomly in two bases and can decode the bit deterministically with the help of the sender. Any attack from eavesdroppers will be detected by the legitimate parties. Furthermore, this protocol can be implemented with linear-optic elements and single-photon detectors.
Due to the better robustness of entangled W state,it is considered to be better qualified as information carrier for quantum information processing and quantum secure communication. Recently,many kinds of quantum direct communication protocols based on four-particle W state or three-particle asymmetric W state have been proposed. However,these protocols either have low communication efficiency or are difficult to be implemented in physics experiment. By utilizing three-particle W state and the mechanism of quantum identity authentication,a new deterministic secure quantum communication protocol was proposed. This protocol consisted of five parts: authentication code generating,quantum states preparation,quantum states distribution,eavesdropping check and identity authentication,and information communication. The two participants only needed to perform the two-particle Bell measurement,the single-particle Z-basis or X-basis measurement,and the communication efficiency was also improved: One W state can transmit one classical bit of information. The security analysis shows that the present protocol is secure against various eavesdropper Eve's attacks and impersonation attacks,so it has better security.