Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2511.18913 · IEEE Journal on Selected Areas in Communications

Processing Entangled Links Into Secure Cryptographic Keys

Marcel Kokorsch, Guido Dietl

quant-phSubmitted Nov 24, 2025• Announced Nov 25, 2025• 0 citations• Revised May 6, 2026 (v2)
v1 · Nov 24, 2025v2 · May 6, 2026v3 · Sep 10, 2026
arXivHTMLPDF

Abstract

The following paper presents a holistic approach to the processing of entangled links within entanglement based quantum key distribution protocols, whose security relies on the Bell inequality. We investigate the interactions, and the collective impact, of the whole processing chain on the final secure key rate. This includes the quantum mechanical preprocessing in the form of entanglement distillation, processing of the entangled states via measurements and the necessary classical postprocessing based on the measurement results. Our investigations are based on the principle idea of the Eckert 1991 protocol and utilize the secret key capacity introduced by Devetak and Winter in 2005. Our results include a proof on what measurement bases need to be chosen to achieve this capacity for the case of Werner states. It also presents a new processing strategy and compares it with the most common one that can be found within the literature. Furthermore, it answers the question on how much entanglement distillation is optimal. By doing so we propose a unified formalism, describing the whole processing chain, that can be used to make quantitative statements on the relation between the quality and quantity of entangled but noisy quantum states used for generating secure keys.

Journal reference
IEEE Journal on Selected Areas in Communications, vol. 44, pp. 5299-5310, 2026
DOI
10.1109/JSAC.2026.3707822
Comments
11 pages, 1 figure

Related papers

Secret Key Rate of Quantum Key Distribution Assuming Worst-Case Attacks

Amelie Sophia Ettinger, Marcel Kokorsch, Guido K.E. Dietl

Quantum Key Distribution (QKD) represents a revolutionary approach in the field of cryptography, offering the potential for unconditional security by leveraging the principles of quantum mechanics. This paper addresses the crucial issue of calculating secure key rates in entanglement based QKD systems. We present a method of key rate calculations that is independent of an eavesdropper's quantum system, relying solely on the quantum states shared between two communicating parties under the assumption of a worst-case attack. We undertake a comparison of asymptotic key rates with those observed in the finite regime, in which only a limited number of quantum states are exchanged. Furthermore, we investigate the influence of entanglement distillation on the achievable key rates. By identifying the numerically optimal number of entanglement distillation iterations based on the initial fidelity and the number of exchanged quantum states, we demonstrate how to achieve a balance between the quantity and quality of entangled states, thereby maximizing the secure key rate. Our results show that there is a unique optimum within a defined search range. Moreover, we determine the minimum number of exchanged quantum states necessary to attain a positive key rate and to obtain a desired number of secure key bits, which are both contingent upon the quality of the communication channel. It is anticipated that the insights gained from this work will prove instrumental in the development of optimal routing strategies in quantum communication networks.

International ITG Conference on Systems, Communications and Coding (SCC)•Mar 10, 2025•3 citations

Noisy Processing and Distillation of Private Quantum States

Joseph M. Renes, Graeme Smith

We provide a simple security proof for prepare and measure quantum key distribution protocols employing noisy processing and one-way postprocessing of the key. This is achieved by showing that the security of such a protocol is equivalent to that of an associated key distribution protocol in which, instead of the usual maximally entangled states, a more general private state is distilled. In addition to a more general target state, the usual entanglement distillation tools are employed (in particular, Calderbank-Shor-Steane-like codes), with the crucial difference that noisy processing allows some phase errors to be left uncorrected without compromising the privacy of the key.

arXiv:quant-ph/0603262•Physical Review Letters•Jan 9, 2007•43 citations

Generalized decoding, effective channels, and simplified security proofs in quantum key distribution

Joseph M. Renes, Markus Grassl

Prepare and measure quantum key distribution protocols can be decomposed into two basic steps: delivery of the signals over a quantum channel and distillation of a secret key from the signal and measurement records by classical processing and public communication. Here we formalize the distillation process for a general protocol in a purely quantum-mechanical framework and demonstrate that it can be viewed as creating an ``effective'' quantum channel between the legitimate users Alice and Bob. The process of secret key generation can then be viewed as entanglement distribution using this channel, which enables application of entanglement-based security proofs to essentially any prepare and measure protocol. To ensure secrecy of the key, Alice and Bob must be able to estimate the channel noise from errors in the key, and we further show how symmetries of the distillation process simplify this task. Applying this method, we prove the security of several key distribution protocols based on equiangular spherical codes.

arXiv:quant-ph/0505061•Physical Review A•Aug 23, 2006•44 citations

Impact of Entanglement Distillation on the Secret Key Rate of QKD Beyond Fidelity Enhancement

Marcel Kokorsch, Amelie Sophia Ettinger, Guido K.E. Dietl

We examine how the structural characteristics of entangled quantum states impact the achievable rates in entanglement-based quantum key distribution (QKD). Focusing on the performance differences between entangled states produced by entanglement distillation protocols and Werner states, we show that the structured nature of distilled states can yield significantly higher secure key rates, even when their fidelity matches that of Werner states. This suggests that while converting arbitrary entangled states into Werner states (through twirling) simplifies the analysis of protocol performance, it also limits potential secret key rates. Our findings underscore the potential of entanglement distillation protocols to enhance QKD performance by additionally improving the structure of entangled states, thus, broadening their utility beyond simple fidelity enhancement.

International Conference on Communications•Jun 8, 2025•1 citation

Quantum Key Generation Based on Quantum Mechanical Principles

Jincheng Zhang

This paper presents a novel approach to cryptographic key generation leveraging fundamental principles of quantum mechanics, specifically quantum superposition and quantum entanglement. The core idea centers around Quantum Key Distribution (QKD) protocols, employing these quantum phenomena to establish a secure key exchange. We detail a method for generating keys based on the inherent uncertainty associated with quantum measurement, providing a significantly enhanced level of security compared to traditional key generation methods reliant on computational complexity. The proposed system utilizes entangled photon pairs to create a shared random key, followed by classical post-processing steps to eliminate errors and ensure key secrecy. The theoretical framework is presented with a focus on the mathematical underpinnings of quantum key generation and security proofs. We examine the potential vulnerabilities and mitigation strategies, highlighting the robustness of the approach against eavesdropping attempts. The development of this system aims to address the growing need for truly secure cryptographic solutions in an era of increasingly sophisticated cyber threats. ---

•Aug 29, 2026•0 citations

Discord-Enhanced Quantum Key Distribution in Noisy Mixed-State Channels

Saida M. Alkurkushi, Malek Nasser Ali Algabri

Abstract Quantum key distribution (QKD) facilitates secure communication by harnessing non-classical correlations within quantum systems. Although entanglement is fundamental to many QKD protocols, it is highly susceptible to noise and decoherence effects. In this work, we analyze the performance of Werner and Bell-diagonal states within commonly used QKD protocols such as BB84, Six-state, and their device-independent variants, considering realistic noise environments and eavesdropping strategies. Employing a Qiskit-based simulation toolkit , we assess critical performance metrics including quantum bit error rate (QBER), fidelity, concurrence, quantum discord, violations of the CHSH inequality, and Devetak, Winter key rates. Our findings emphasize the resilience of quantum discord as a resource in scenarios where entanglement is diminished, and reveal that Bell-diagonal states may exhibit superior performance compared to Werner states under certain noise conditions. We further discuss practical consequences for secure key generation and propose directions for extending this work toward physical device implementation and machine learning–enhanced detection of eavesdropping attempts. These results shed light on the robustness of QKD protocols that utilize mixed quantum states and the significant role quantum discord can play in secure quantum communication.

•Sep 3, 2025•0 citations
The following paper presents a holistic approach to the processing of entangled links within entanglement based quantum key distribution protocols, whose security relies on the Bell inequality. We investigate the interactions, and the collective impact, of the whole processing chain on the final secure key rate. This includes the quantum mechanical preprocessing in the form of entanglement distillation, processing of the entangled states via measurements and the necessary classical postprocessing based on the measurement results. Our investigations are based on the principle idea of the Eckert 1991 protocol and utilize the secret key capacity introduced by Devetak and Winter in 2005. Our results include a proof on what measurement bases need to be chosen to achieve this capacity for the case of Werner states. It also presents a new processing strategy and compares it with the most common one that can be found within the literature. Furthermore, it answers the question on how much entanglement distillation is optimal. By doing so we propose a unified formalism, describing the whole processing chain, that can be used to make quantitative statements on the relation between the quality and quantity of entangled but noisy quantum states used for generating secure keys.
Quantum Key Distribution (QKD) represents a revolutionary approach in the field of cryptography, offering the potential for unconditional security by leveraging the principles of quantum mechanics. This paper addresses the crucial issue of calculating secure key rates in entanglement based QKD systems. We present a method of key rate calculations that is independent of an eavesdropper's quantum system, relying solely on the quantum states shared between two communicating parties under the assumption of a worst-case attack. We undertake a comparison of asymptotic key rates with those observed in the finite regime, in which only a limited number of quantum states are exchanged. Furthermore, we investigate the influence of entanglement distillation on the achievable key rates. By identifying the numerically optimal number of entanglement distillation iterations based on the initial fidelity and the number of exchanged quantum states, we demonstrate how to achieve a balance between the quantity and quality of entangled states, thereby maximizing the secure key rate. Our results show that there is a unique optimum within a defined search range. Moreover, we determine the minimum number of exchanged quantum states necessary to attain a positive key rate and to obtain a desired number of secure key bits, which are both contingent upon the quality of the communication channel. It is anticipated that the insights gained from this work will prove instrumental in the development of optimal routing strategies in quantum communication networks.
We provide a simple security proof for prepare and measure quantum key distribution protocols employing noisy processing and one-way postprocessing of the key. This is achieved by showing that the security of such a protocol is equivalent to that of an associated key distribution protocol in which, instead of the usual maximally entangled states, a more general private state is distilled. In addition to a more general target state, the usual entanglement distillation tools are employed (in particular, Calderbank-Shor-Steane-like codes), with the crucial difference that noisy processing allows some phase errors to be left uncorrected without compromising the privacy of the key.
Prepare and measure quantum key distribution protocols can be decomposed into two basic steps: delivery of the signals over a quantum channel and distillation of a secret key from the signal and measurement records by classical processing and public communication. Here we formalize the distillation process for a general protocol in a purely quantum-mechanical framework and demonstrate that it can be viewed as creating an ``effective'' quantum channel between the legitimate users Alice and Bob. The process of secret key generation can then be viewed as entanglement distribution using this channel, which enables application of entanglement-based security proofs to essentially any prepare and measure protocol. To ensure secrecy of the key, Alice and Bob must be able to estimate the channel noise from errors in the key, and we further show how symmetries of the distillation process simplify this task. Applying this method, we prove the security of several key distribution protocols based on equiangular spherical codes.
We examine how the structural characteristics of entangled quantum states impact the achievable rates in entanglement-based quantum key distribution (QKD). Focusing on the performance differences between entangled states produced by entanglement distillation protocols and Werner states, we show that the structured nature of distilled states can yield significantly higher secure key rates, even when their fidelity matches that of Werner states. This suggests that while converting arbitrary entangled states into Werner states (through twirling) simplifies the analysis of protocol performance, it also limits potential secret key rates. Our findings underscore the potential of entanglement distillation protocols to enhance QKD performance by additionally improving the structure of entangled states, thus, broadening their utility beyond simple fidelity enhancement.
This paper presents a novel approach to cryptographic key generation leveraging fundamental principles of quantum mechanics, specifically quantum superposition and quantum entanglement. The core idea centers around Quantum Key Distribution (QKD) protocols, employing these quantum phenomena to establish a secure key exchange. We detail a method for generating keys based on the inherent uncertainty associated with quantum measurement, providing a significantly enhanced level of security compared to traditional key generation methods reliant on computational complexity. The proposed system utilizes entangled photon pairs to create a shared random key, followed by classical post-processing steps to eliminate errors and ensure key secrecy. The theoretical framework is presented with a focus on the mathematical underpinnings of quantum key generation and security proofs. We examine the potential vulnerabilities and mitigation strategies, highlighting the robustness of the approach against eavesdropping attempts. The development of this system aims to address the growing need for truly secure cryptographic solutions in an era of increasingly sophisticated cyber threats. ---
Abstract Quantum key distribution (QKD) facilitates secure communication by harnessing non-classical correlations within quantum systems. Although entanglement is fundamental to many QKD protocols, it is highly susceptible to noise and decoherence effects. In this work, we analyze the performance of Werner and Bell-diagonal states within commonly used QKD protocols such as BB84, Six-state, and their device-independent variants, considering realistic noise environments and eavesdropping strategies. Employing a Qiskit-based simulation toolkit , we assess critical performance metrics including quantum bit error rate (QBER), fidelity, concurrence, quantum discord, violations of the CHSH inequality, and Devetak, Winter key rates. Our findings emphasize the resilience of quantum discord as a resource in scenarios where entanglement is diminished, and reveal that Bell-diagonal states may exhibit superior performance compared to Werner states under certain noise conditions. We further discuss practical consequences for secure key generation and propose directions for extending this work toward physical device implementation and machine learning–enhanced detection of eavesdropping attempts. These results shed light on the robustness of QKD protocols that utilize mixed quantum states and the significant role quantum discord can play in secure quantum communication.