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In optical implementations of the phase-encoded BB84 protocol, the bit information is usually encoded in the phase of two consecutive photon pulses generated in a Mach-Zehnder interferometer. In the actual experimental realization, the loss…

Quantum Physics · Physics 2013-05-30 Agnes Ferenczi , Varun Narasimhachar , Norbert Lütkenhaus

We prove the unconditional security of the six-state protocol with threshold detectors and one-way classical communication. Unlike the four-state protocol (BB84), it has been proven that the squash operator for the six-state does not exist,…

Quantum Physics · Physics 2010-08-30 Go Kato , Kiyoshi Tamaki

In this work, we present an improved analysis for decoy-state methods, enhancing both achievable key rates and recovering analytical results for the single intensity scenario. Our primary focus is improving the shortcomings observed in…

Quantum Physics · Physics 2025-01-20 Lars Kamin , Norbert Lütkenhaus

We develop an improvement to the weak laser pulse BB84 scheme for quantum key distribution, which utilizes entanglement to improve the security of the scheme and enhance its resilience to the photon-number-splitting attack. This protocol…

We present a finite-size security proof of the decoy-state BB84 QKD protocol against coherent attacks, using entropic uncertainty relations, for imperfect detectors. We apply this result to the case of detectors with imperfectly…

Quantum Physics · Physics 2025-12-16 Devashish Tupkary , Shlok Nahar , Pulkit Sinha , Norbert Lütkenhaus

The six-state protocol is a discrete-variable protocol for quantum key distribution, that permits to tolerate a noisier channel than the BB84 protocol. In this work we provide a lower bound on the maximum achievable key rate of a practical…

Quantum Physics · Physics 2011-11-14 Silvestre Abruzzo , Markus Mertz , Hermann Kampermann , Dagmar Bruß

BB84-based quantum key distribution system is limited in high speed and chip integration due to the requirement of four states preparation and measurement. Recently, the simplified BB84 protocol with only three states preparation and…

Quantum Physics · Physics 2020-06-19 Hua-Lei Yin , Zeng-Bing Chen

We suggest a type of attack on quantum cryptosystems that exploits variations in detector efficiency as a function of a control parameter accessible to an eavesdropper. With gated single-photon detectors, this control parameter can be the…

Quantum Physics · Physics 2007-05-23 Vadim Makarov , Andrey Anisimov , Johannes Skaar

One of the challenges in practical quantum key distribution is dealing with efficiency mismatch between different threshold single-photon detectors. There are known bounds for the secret key rate for the BB84 protocol with…

Quantum Physics · Physics 2019-03-06 M. K. Bochkov , A. S. Trushechkin

For the realization of quantum key distribution, it is important to investigate its security based on a mathematical model that captures properties of the actual devices used by the legitimate users. Recently, Ferenczi, et. al. (Phys. Rev.…

Quantum Physics · Physics 2013-02-11 Satoshi Sunohara , Kiyoshi Tamaki , Nobuyuki Imoto

Measurements with photodetectors necessarily need to be described in the infinite dimensional Fock space of one or several modes. For some measurements a model has been postulated which describes the full mode measurement as a composition…

Quantum Physics · Physics 2008-09-17 Normand J. Beaudry , Tobias Moroder , Norbert Lütkenhaus

Quantum Key Distribution (QKD) enables the sharing of cryptographic keys secured by quantum mechanics. The BB84 protocol assumed single-photon sources, but practical systems rely on weak coherent pulses vulnerable to photon-number-splitting…

Quantum Physics · Physics 2025-06-03 Ibrahim Almosallam

The Bennett-Brassard 1984 (BB84) protocol is the most widely implemented quantum key distribution (QKD) scheme. However, despite enormous theoretical and experimental efforts in the past decades, the security of this protocol with imperfect…

Distinguishability of photons in non-operational degrees of freedom compromises unconditional security of quantum key distribution since an eavesdropper can improve attack strategies by exploiting this distinguishability. However, the…

Quantum Physics · Physics 2022-10-11 D. Babukhin , D. Kronberg , D. Sych

Though the BB84 protocol has provable security over a noiseless quantum channel, the security is not proven over current noisy technology. The level of tolerable error on such systems is still unclear, as is how much information about a raw…

Quantum Physics · Physics 2024-09-25 Brian Pigott , Elizabeth Campolongo , Hardik Routray , Alex Khan

Decoy state method closes source security loophole in quantum key distribution (QKD) using laser source. In this method, accurate estimates of the detection rates of vacuum and single photon events plus the error rate of single photon…

Quantum Physics · Physics 2018-04-11 H. F. Chau

This paper suggests an improvement to the BB84 scheme in Quantum key distribution. The original scheme has its weakness in letting quantifiably more information gain to an eavesdropper during public announcement of unencrypted bases lists.…

Quantum Physics · Physics 2007-05-23 C. Sanjeevakumar , M. Kasi Rajan , L. Sudarsan , R. Venkatesh , N. Srinivasan

In practical quantum key distribution, weak coherent state is often used and the channel transmittance can be very small therefore the protocol could be totally insecure under the photon-number-splitting attack. We propose an efficient…

Quantum Physics · Physics 2009-11-10 Xiang-Bin Wang

In quantum cryptosystems, variations in detector efficiency can be exploited to stage a successful attack. This happens when the efficiencies of Bob's two detectors are different functions of a control parameter accessible to Eve (e.g.,…

Quantum Physics · Physics 2008-04-02 Vadim Makarov , Johannes Skaar

We improve the non-asymptotic key rate shown by Scarani and Renner by proposing several methods to construct tighter conservative confidence intervals of the phase error rate than one shown by them. In addition, we show that the accurate…

Quantum Physics · Physics 2010-11-18 Yousuke Sano , Ryutaroh Matsumoto , Tomohiko Uyematsu
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