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arXiv:2608.27679

High-Dimensional Deterministic Secure Quantum Communication with Reed-Solomon Erasure Coding

L. F. A. de Sousa Moura, G. L. Zanin, P. H. Souto Ribeiro, C. Becker Westphall

quant-phcs.CRSubmitted Aug 27, 2026• Announced Aug 31, 2026• 0 citations
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Abstract

Deterministic Secure Quantum Communication (DSQC) is a quantum cryptographic technique engineered to transfer a message through a quantum channel, requiring an auxiliary classical channel for eavesdropping verification and decoding, but without prior key distribution. This article presents a theoretical high-dimensional prepare and measure DSQC protocol using the Reed-Solomon erasure coding to ensure data resilience to noise. This protocol offers the following benefits: it eliminates the need for quantum memory or entanglement, it can be built with commercially available technology, and its higher capacity improves the overall transmission rate.

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Deterministic Secure Quantum Communication (DSQC) is a quantum cryptographic technique engineered to transfer a message through a quantum channel, requiring an auxiliary classical channel for eavesdropping verification and decoding, but without prior key distribution. This article presents a theoretical high-dimensional prepare and measure DSQC protocol using the Reed-Solomon erasure coding to ensure data resilience to noise. This protocol offers the following benefits: it eliminates the need for quantum memory or entanglement, it can be built with commercially available technology, and its higher capacity improves the overall transmission rate.
Deterministic secure quantum communication (DSQC) can transmit ciphered message with information theoretical security, in which the message is directly modulated on the quantum state and transmitted from Alice to Bob. Thus, key is not pre-shared, but rather communicated after the security of the ciphered message transmission is assured. In most of previous DSQC protocols, quantum memory or entanglement is necessary, which is still a big challenge with current technology. And the imperfections of practical devices, such as loss, weak coherent source, and so on, may also down play the security and efficiency of these DSQC protocols. In this article, a DSQC protocol with practical devices is proposed. In our protocol, both quantum memory and entanglement are not require. And DSQC with distance as long as 100–200 km and repetition as high as is possible.
Deterministic secure quantum communication (DSQC) can transmit secret messages between two parties without first generating a shared secret key. Compared with quantum key distribution (QKD), DSQC avoids the waste of qubits arising from basis reconciliation and thus reaches higher efficiency. In this paper, based on data block transmission and order rearrangement technologies, we propose a DSQC protocol. It utilizes a set of single d-level systems as message carriers, which are used to directly encode the secret message in one communication process. Theoretical analysis shows that these employed technologies guarantee the security, and the use of a higher dimensional quantum system makes our protocol achieve higher security and efficiency. Since only quantum memory is required for implementation, our protocol is feasible with current technologies. Furthermore, Trojan horse attack (THA) is taken into account in our protocol. We give a THA model and show that THA significantly increases the multi-photon rate and can thus be detected.
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.
Two protocols for deterministic secure quantum communication (DSQC) using GHZ-like states have been proposed. It is shown that one of these protocols can be modified to an equivalent but more efficient protocol of quantum secure direct communication (QSDC). Security and efficiency of the proposed protocols are analyzed in detail and are critically compared with the existing protocols. It is shown that the proposed protocols are highly efficient. It is also shown that all the physical systems where dense coding is possible can be used to design maximally efficient protocol of DSQC and QSDC. Further, it is shown that dense coding is sufficient but not essential for DSQC and QSDC protocols of the present kind. We have shown that there exist a large class of quantum state which can be used to design maximally efficient DSQC and QSDC protocols of the present kind. It is further, observed that maximally efficient QSDC protocols are more efficient than their DSQC counterparts. This additional efficiency arises at the cost of message transmission rate.
A novel deterministic secure quantum communication(DSQC)scheme is presented based on EinsteinPodolsky-Rosen(EPR)pairs and single photons in this study.In this scheme,the secret message can be encoded directly on the first particles of the prepared Bell states by simple unitary operations and decoded by performing the Bell-basis measurement after the additional classic information is exchanged.In addition,the strategy with two-step transmission of quantum data blocks and the technique of decoy-particle checking both are exploited to guarantee the security of the communication.Compared with some previous DSQC schemes,this scheme not only has a higher resource capacity,intrinsic efciency and total efciency,but also is more realizable in practical applications.Security analysis shows that the proposed scheme is unconditionally secure against various attacks over an ideal quantum channel and still conditionally robust over a noisy and lossy quantum channel.
A novel deterministic secure quantum communication (DSQC) scheme is presented based on Einstein-Podolsky-Rosen (EPR) pairs and single photons in this study. In this scheme, the secret message can be encoded directly on the first particles of the prepared Bell states by simple unitary operations and decoded by performing the Bell-basis measurement after the additional classic information is exchanged. In addition, the strategy with two-step transmission of quantum data blocks and the technique of decoy-particle checking both are exploited to guarantee the security of the communication. Compared with some previous DSQC schemes, this scheme not only has a higher resource capacity, intrinsic efficiency and total efficiency, but also is more realizable in practical applications. Security analysis shows that the proposed scheme is unconditionally secure against various attacks over an ideal quantum channel and still conditionally robust over a noisy and lossy quantum channel.