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Quantum Computing, Communication, and Simulation

Single-photon Raman interaction for realizing the photon-number splitting attack

Ariel Ashkenazy, Yuval Idan, Dor Korn, Dror Fixler, Barak Dayan, Eliahu Cohen

Published Mar 19, 2025• 0 citations
Publisher

Abstract

Photon-number splitting (PNS) attack poses a significant threat to the security of quantum key-distribution (QKD) systems that utilize weak coherent states (WCS). While this attack has been extensively explored in theory, its experimental realization remains elusive, raising questions about its practical implementation and impact. This study introduces a novel framework to experimentally demonstrate the PNS attack by leveraging single-photon Raman interaction (SPRINT), a well-developed technological capability. We analytically assess the feasibility and practical implications of this attack. Complementing our recently published analysis of the attack, in this work we calculate the detection statistics for phase-randomized WCS and analyze the purity of the quantum state post-attack. Our analysis reveals that indeed current technologies are sufficient to implement the PNS attack, but the eavesdropper’s information gain deviates from theoretical ideals. Moreover, we show that the attack compromises the integrity of the quantum state, introducing a non-zero quantum bit-error rate (QBER). These findings challenge the conventional assumption of perfect information extraction by the attacker through PNS while underscoring the need for robust QKD protocols, such as the coherent one-way (COW) protocol, which are secure against PNS attacks. Beyond their implications for cryptographic security, the findings also offer new insights into fundamental quantum processes, such as single-photon subtraction and the informational changes caused by photon splitting.

DOI
10.1117/12.3042424

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Photon-number splitting (PNS) attack poses a significant threat to the security of quantum key-distribution (QKD) systems that utilize weak coherent states (WCS). While this attack has been extensively explored in theory, its experimental realization remains elusive, raising questions about its practical implementation and impact. This study introduces a novel framework to experimentally demonstrate the PNS attack by leveraging single-photon Raman interaction (SPRINT), a well-developed technological capability. We analytically assess the feasibility and practical implications of this attack. Complementing our recently published analysis of the attack, in this work we calculate the detection statistics for phase-randomized WCS and analyze the purity of the quantum state post-attack. Our analysis reveals that indeed current technologies are sufficient to implement the PNS attack, but the eavesdropper’s information gain deviates from theoretical ideals. Moreover, we show that the attack compromises the integrity of the quantum state, introducing a non-zero quantum bit-error rate (QBER). These findings challenge the conventional assumption of perfect information extraction by the attacker through PNS while underscoring the need for robust QKD protocols, such as the coherent one-way (COW) protocol, which are secure against PNS attacks. Beyond their implications for cryptographic security, the findings also offer new insights into fundamental quantum processes, such as single-photon subtraction and the informational changes caused by photon splitting.
Abstract Photon‐number‐splitting (PNS) is a well‐known theoretical attack on quantum key distribution (QKD) protocols that employ weak coherent states produced by attenuated laser pulses. However, beyond the fact that it has not yet been demonstrated experimentally, its plausibility and effect on quantum bit error rate are questioned. In this work, an experimental scheme is presented for PNS attack employing demonstrated technological capabilities, specifically a single‐photon Raman interaction (SPRINT) in a cavity‐enhanced three‐level atomic system. Several aspects of the proposed implementation are addressed, analytically and simulatively, and the eavesdropper's information gain by the attack is calculated. Furthermore, it is analytically shown that the scheme results in a small (yet non‐zero) quantum bit error rate, and a comparison to purely theoretical analyses in the literature is presented. It is believed that the inherent nonlinearity of the PNS attack unavoidably affects the optical modes sent to the receiver, and accordingly will always result in some error rate.
For a start, Quantum Key Distribution offers security not depending on any fundamental assumption. However, actual realizations choose to use weak coherent pulses as photon sources, rather than the ideal single-photon state, which bears security weaknesses due to the emission of sporadic multi-photon states. These states can be used in Photon-Number Splitting (PNS) attacks, where the attacker intercepts and buffers photons of multi-photon pulses and forwards the rest, enabling partial recovery of the key without inducing detectable perturbations. This article presents a simulation-based approach to analyze PNS attacks with realistic channel conditions like losses, detector imperfections, and finite key lengths. The research also examines the performance of decoy-state countermeasures, that use variable-intensity pulses to statistically reveal eavesdropping and Simulation results confirm the dominant character of PNS on raw key rates for the no-countermeasure scenario and ensure optimal decoy-state schemes restore security by cutting single-photon contributions. Results establish that although WCP QKD is vulnerable to PNS attacks in theory, strict adoption of decoy-state protocols aided with monitoring and finite-key analysis can provide immunity against an adversary. The paper emphasizes the need for simulation-based, implementation-dependent security analysis in direction towards well-designed practical quantum cryptographic systems. [1] [2] [3] [4] [10] [8]
For a start, Quantum Key Distribution offers security not depending on any fundamental assumption. However, actual realizations choose to use weak coherent pulses as photon sources, rather than the ideal single-photon state, which bears security weaknesses due to the emission of sporadic multi-photon states. These states can be used in Photon-Number Splitting (PNS) attacks, where the attacker intercepts and buffers photons of multi-photon pulses and forwards the rest, enabling partial recovery of the key without inducing detectable perturbations. This article presents a simulation-based approach to analyze PNS attacks with realistic channel conditions like losses, detector imperfections, and finite key lengths. The research also examines the performance of decoy-state countermeasures, that use variable-intensity pulses to statistically reveal eavesdropping and Simulation results confirm the dominant character of PNS on raw key rates for the no-countermeasure scenario and ensure optimal decoy-state schemes restore security by cutting single-photon contributions. Results establish that although WCP QKD is vulnerable to PNS attacks in theory, strict adoption of decoy-state protocols aided with monitoring and finite-key analysis can provide immunity against an adversary. The paper emphasizes the need for simulation-based, implementation-dependent security analysis in direction towards well-designed practical quantum cryptographic systems. [1] [2] [3] [4] [10] [8]
Quantum Key Distribution (QKD) is one of the most promising technologies that enable theoretically unbreakable secure communications in this highly advanced information security era. This work provides a comparative analysis of QKD protocols such as BB84, Coherent One-Way (COW), and Differential Phase-Shift (DPS) against eavesdropping attacks e.g., Photon Number Splitting (PNS) attack. It employs a realistic approach to simulations such as using weak coherent pulse (WCP) sources. This work also explores qubit generation and the whole key distribution process in non-ideal conditions. Detailed algorithms have been discussed that simulate the encoding, transmission, and decoding process for every protocol, as well as simulating PNS attacks where an eavesdropper removes photons to gain key information without any detectable errors. Statistical metrics, such as Visibility and the information gain, are used to quantify the impact of these attacks. Future work aspects may include the extension of the simulation to incorporate additional parameters such as channel noise, fiber attenuation, detector dark counts, etc. to provide a realistic analysis to compare various QKD protocols.
Quantum key distribution (QKD) is an innovative technology, which exploits the laws of quantum mechanics to generate and distribute unconditionally secure shared cryptographic keying material between two geographically separated parties. The unique nature of QKD that ensures eavesdropping on the key distribution channel necessarily introduces detectable errors and shows promise for high-security environments, such as banking, government, and military. However, QKD systems are vulnerable to advanced theoretical and experimental attacks. In this paper, the photon number splitting (PNS) attack is studied in a specialized QKD modeling and simulation framework. First, a detailed treatment of the PNS attack is provided with emphasis on practical considerations, such as performance limitations and realistic sources of error. Second, ideal and non-ideal variations of the PNS attack are studied to measure the eavesdropper's information gain on the QKD-generated secret key bits and examine the detectability of PNS attacks with respect to both quantum bit error rate and the decoy state protocol. Finally, this paper provides a repeatable methodology for efficiently studying advanced attacks, both realized and notional, against QKD systems and more generally quantum communication protocols.
In the last ten years, quantum computing has made substantial progress, presenting a strong challenge to traditional encryption methods that depend on solving discrete algorithmic problems. With the advent of the quantum era, conventional encryption methods are becoming more susceptible to attacks. This paper investigates possible attacks that exploit vulnerabilities in quantum cryptography, specifically investigating weaknesses in quantum key distribution (QKD) systems. The text thoroughly explores advanced attack strategies of photon number splitting highlight the existing vulnerabilities. The goal is to highlight the need for strong safeguards to protect against these threats, which requires continuous research and development to improve the robustness of quantum cryptography algorithms. The experimental investigation includes analyzing crucial parameters, including quantum channel length, loss, QKD protocol, quantum bit error rate (QBER), signal-to-noise ratio (SNR), as well as attack parameters such as probability of photon number splitting (PNS), eavesdropper distance, and detection efficiency. The evaluation includes performance indicators such as secure key rate, quantum bit error rate (QBER) vs distance, vulnerability to photon number splitting (PNS) attacks, and the influence on the pace of key generation.