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International Conference on Wireless Communications and Signal Processing (WCSP)

Simple Quantum Communication Protocol Based on Bell Test

Yiyou Fan, Zaichen Zhang

Published Nov 1, 2022• 1 citation
Publisher

Abstract

In this paper, we propose a robust quantum communication protocol which needs Bell test only with one round classical communication. Current quantum communication protocols such as quantum dense code and quantum direct communication protocol are vulnerable to interference, and quantum key distribution protocol which have already in large scale use needs multiple rounds classical communication to remove the effects of noise. Bell test is a well-known entanglement detector and as a powerful tool to verify the quantum non-locality that the quantum correlation between two space separated objects. It has been applied in several quantum communication protocols for security check and network relay. Moreover, we found that entanglement is a valuable quantum correlation resource itself and Bell test can verify it. In our protocol, the quantum entanglement is used to establish a shared code information space between sender and receiver via the peculiar quantum correlation. The information is encoded as the position of message sequence and the receiver decodes it by a Bell Test, the maximum correlation value occurs exactly at the encoded position. The protocol completes information transmission by only one round classical communication and work well under imperfect apparatus as well. Our protocol is simple and be implemented seamlessly in existing entanglement based quantum communication protocol.

DOI
10.1109/wcsp55476.2022.10039287

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In this paper, we propose a robust quantum communication protocol which needs Bell test only with one round classical communication. Current quantum communication protocols such as quantum dense code and quantum direct communication protocol are vulnerable to interference, and quantum key distribution protocol which have already in large scale use needs multiple rounds classical communication to remove the effects of noise. Bell test is a well-known entanglement detector and as a powerful tool to verify the quantum non-locality that the quantum correlation between two space separated objects. It has been applied in several quantum communication protocols for security check and network relay. Moreover, we found that entanglement is a valuable quantum correlation resource itself and Bell test can verify it. In our protocol, the quantum entanglement is used to establish a shared code information space between sender and receiver via the peculiar quantum correlation. The information is encoded as the position of message sequence and the receiver decodes it by a Bell Test, the maximum correlation value occurs exactly at the encoded position. The protocol completes information transmission by only one round classical communication and work well under imperfect apparatus as well. Our protocol is simple and be implemented seamlessly in existing entanglement based quantum communication protocol.
By studying the properties of the mixture of Bell state particles and single photons,in the paper we design a quantum code scheme with high coding capacity,and propose a novel quantum secure direct communication protocol with high transmission efficiency.Alice prepares Bell state particles and single photons,and divides Bell state particles into two sequences SA and SB.SB is sent to Bob for the first security check through using quantum correlation properties of particles.When the check result shows that the quantum channel is safe,by using the designed quantum code scheme, Alice encodes her classical message on the mixed quantum state sequence of Bell sequence SA and single photon sequence SS.Then,some single photons that are used for security check are re-inserted randomly into the encoded sequence,and the order of particles is rearranged to ensure checking Eve's attack.Alice sends the new sequence to Bob.Bob delays and receives it.And then,the quantum channel conducts the second-time security check.The transmission error rate is calculated,and if the error rate is lower than the tolerance threshold,the channel is safe.Bob decodes and reads Alice's message.The first security check is to determine whether quantum channel is safe.The second security check is to test whether there are eavesdroppers during information transmission.Safety analysis is done by applying the quantum information theory for the proposed protocol.The error rate introduced by Eve and the amount of information by Eve are calculated.It is shown that this pro-tocol can effectively resist measurement-resend attack,intercept-resend attack, auxiliary particle attack,denial of service attack and Trojan attack.Among them,auxiliary particle attack is analyzed in detail.The transmission efficiency and coding capacity are also analyzed.The transmission efficiency is 2,the quantum bit rate is 1,and the coding capacity is that a quantum state can encode three bits of classical messages.We also compare the proposed protocol with many existing popular protocols in the sense of efficiency,e.g.,Ping-Pong protocol, Deng F G et al.'s two-step and one-pad-time quantum secure direct communication protocol,Wang J et al.'s quantum secure direct communication protocol based on entanglement swapping and Quan D X et al.'s one-way quantum secure direct communication protocol based on single photon.It is proved that this proposed protocol has higher transmission efficiency.In addition,neither complex U operation nor entanglement swapping is used,and implementation process is simplified.However,this protocol is devoted to theoretical research of quantum secure direct communication.There are still some difficulties in the practical application.For example,the storage technology of quantum states is not mature at present.It is not easy to prepare and measure Bell state particles nor to combine them with single photons,and so on.The implementation of this protocol depends on the development of quantum technology in the future.
Quantum entanglement plays a central role in many quantum communication protocols. It allows distant particles to share correlations beyond the limits of classical interactions. Entanglement is essential for superdense coding, quantum teleportation, and secure cryptographic key distribution in quantum communication. It is also a pillar for developing quantum networks, where the management and distribution of entanglement are crucial for connecting distant nodes. Although perfect entanglement is a sought-after ideal, experimental imperatives, including entanglement distribution over long distances, often limit the quality of entangled states. An important question is whether weaker entanglement still offers advantages. First, we study more general tasks than dense coding to show that simpler measurements, combined with entanglement, allow advantageous and sometimes even optimal qubit communication protocols to be obtained. We also demonstrate that simple measurements can generate quantum correlations that cannot be modelled by two classical communication bits and can constitute an optimal protocol with quantum resources. We implement a novel Bell-type inequality tailored for certifying full network non-locality (FNN) to develop certification methods guaranteeing security on an entanglement-based network. Our experiment uses two pairs of polarised entangled photons in a network configuration with three nodes, briefly referred to as a bilocal network scenario. Finally, we show that weakly entangled states can improve communication over a qubit channel using only separate (local) measurements on isotropic non-steerable two-qubit states, without interference, of individual photons, across two communication tasks: secret sharing and its stochastic variant.
Quantum secure direct communication (QSDC) enables the message sender to directly transmit messages to the message receiver through quantum channel without keys. Environmental noise is the main obstacle for QSDC's practicality. For enhancing QSDC's noise robustness, we introduce the quantum error correction (QEC) code into QSDC and propose the QSDC protocol based on the redundancy code. This QSDC protocol correlates atomic state with the electron–photon entangled pairs and transmits photons in quantum channels for two rounds. The parties can construct the remote atomic logical entanglement channel and decode messages with the heralded photonic Bell state measurement (BSM) and single electron measurement. This QSDC protocol is unconditionally secure in theory and has some advantages. First, benefiting from the heralded photonic BSM, it can eliminate the influence from photon transmission loss and has the potential to realize long-distance secure message transmission. Second, taking use of the error correction function of the repetition code, the error rate caused by the decoherence during the second round of photon transmission can be reduced, which can reduce the message error and increase the secret message capacity. Third, the whole protocol is feasible under current experimental condition. Our QSDC protocol can be extended to use other stronger QEC code. It provides a promising method to promote QSDC's practicality in the future.
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Certifying quantum behavior from classically accessible data is essential for secure communication and scalable quantum technologies. While powerful certification methods such as Bell nonlocality and quantum steering exist, their implementation typically requires entanglement or additional assumptions, and experimental demonstrations mainly focus on low-dimensional systems. In minimal prepare-and-measure scenarios, where a sender encodes information into quantum states and a receiver performs a single measurement, robust certification becomes particularly challenging, especially in the presence of noise and in higher-dimensional Hilbert spaces. Here, we propose, design, and experimentally implement a protocol that certifies quantumness between two distant parties without the need for preshared resources or measurement incompatibility. The experiments are carried out using the orbital angular momentum degrees of freedom of single photons, chosen for providing increased dimensionality that is scalable. We demonstrate the robustness of the protocol through rank-stability analysis of the observed correlations, which enables the certification of non-classicality even in the presence of noise. Our results provide a practical route to validate high-dimensional quantum communication systems and open new possibilities for secure and dimension-efficient quantum information processing.
Quantum authentication protocols can be used to authenticate both quantum messages and classical messages.In this paper, a new quantum authentication protocol of classical messages is proposed.In our protocol, a sequence of Bell states is shared by the message sender and the corresponding receiver.This sequence is used as the authentication key.Four different unitary operations U 0 , U 1 , U 2 and U 3 are used to encode a classical message m and its hash value h(m) into a sequence of Bell states.To authenticate the classical message, the message receiver extracts m and h(m) from the qubits owned by himself/herself, and verifies whether h(m) matches m.The adversary's disturbance to the quantum channel can be detected by checking whether h(m) matches m.The transmitted message has the properties of both secrecy and authentication.Our quantum authentication protocol is secure against message attack and no-message attack.