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We prove that BB84 protocol with random privacy amplification is secure with a higher key rate than Mayers' estimate with the same error rate. Consequently, the tolerable error rate of this protocol is increased from 7.5 % to 11 %. We also…

Quantum Physics · Physics 2007-05-23 Shun Watanabe , Ryutaroh Matsumoto , Tomohiko Uyematsu

We compare the effect of different noise scenarios on the achievable rate of an epsilon-secure key for the BB84 and the six-state protocol. We study the situation where quantum noise is added deliberately, and investigate the remarkable…

Quantum Physics · Physics 2015-06-03 Markus Mertz , Hermann Kampermann , Zahra Shadman , Dagmar Bruß

Local randomisation is a preprocessing procedure in which one of the legitimate parties of a quantum key distribution (QKD) scheme adds noise to their version of the key and was found by Kraus et al. [Phys. Rev. Lett. 95, 080501 (2005)] to…

Quantum Physics · Physics 2014-08-07 Erik Woodhead

An essential step in quantum key distribution is the estimation of parameters related to the leaked amount of information, which is usually done by sampling of the communication data. When the data size is finite, the final key rate depends…

Quantum Physics · Physics 2017-07-12 Shun Kawakami , Toshihiko Sasaki , Masato Koashi

The key rate of the B92 quantum key distribution protocol had not been reported before this research when the number of qubits is finite. We compute it by using the security analysis framework proposed by Scarani and Renner in 2008.

Quantum Physics · Physics 2016-11-18 Hiroaki Sasaki , Ryutaroh Matsumoto , Tomohiko Uyematsu

The work by Christandl, K\"onig and Renner [Phys. Rev. Lett. 102, 020504 (2009)] provides in particular the possibility of studying unconditional security in the finite-key regime for all discrete-variable protocols. We spell out this bound…

Quantum Physics · Physics 2011-02-02 Lana Sheridan , Thinh Phuc Le , Valerio Scarani

In this paper we consider a three-state variant of the BB84 quantum key distribution (QKD) protocol. We derive a new lower-bound on the key rate of this protocol in the asymptotic scenario and use mismatched measurement outcomes to improve…

Quantum Physics · Physics 2016-06-06 Walter O. Krawec

We consider the asymptotic key rates achieved in the simplest quantum key distribution protocols, namely the BB84 and the six-state protocols, when non-uniform noise is present in the system. We first observe that higher qubit error rates…

Quantum Physics · Physics 2020-07-02 Gláucia Murta , Filip Rozpędek , Jérémy Ribeiro , David Elkouss , Stephanie Wehner

Finite key analysis of quantum key distribution (QKD) is an important tool for any QKD implementation. While much work has been done on the framework of finite key analysis, the application to individual protocols often relies on the the…

Quantum Physics · Physics 2021-03-29 Ian George , Jie Lin , Norbert Lütkenhaus

The decoy-state Bennett-Brassard 1984 (BB84) quantum key distribution (QKD) protocol is widely regarded as the de facto standard for practical implementations. On the receiver side, passive basis choice is attractive because it…

Quantum Physics · Physics 2025-11-27 Akihiro Mizutani , Shun Kawakami , Go Kato

We develop a generic framework to bound the phase error rate for quantum key distribution protocols using passive detection setups with imperfections and memory effects. This framework can be used in proof techniques based on the entropic…

Quantum Physics · Physics 2025-12-01 Zhiyao Wang , Devashish Tupkary , Shlok Nahar

We analyze the asymptotic key rate of the single photon B92 protocol by using Renner's security analysis given in 2005. The new analysis shows that the B92 protocol can securely generate key at 6.5% depolarizing rate, while the previous…

Quantum Physics · Physics 2015-02-04 Ryutaroh Matsumoto

In this article we deal with the security of the BB84 quantum cryptography protocol over noisy channels using generalized privacy amplification. For this we estimate the fraction of bits needed to be discarded during the privacy…

Quantum Physics · Physics 2007-05-23 N. Lütkenhaus , Stephen M. Barnett

In this paper we derive a new bound on the secret key-rate of the High Dimensional BB84 protocol operating with multiple mutually unbiased bases (MUBs). To our knowledge, our proof is the first for this protocol that is both general (in…

Quantum Physics · Physics 2025-04-16 Trevor N. Thomas , Walter O. Krawec

We compare three proof techniques for composable finite-size security of quantum key distribution under collective attacks, with emphasis on how the resulting secret-key rates behave at practically relevant block lengths. As a benchmark, we…

Quantum Physics · Physics 2026-01-08 Gabriele Staffieri , Giovanni Scala , Cosmo Lupo

This paper provides a formula for the sacrifice bit-length for privacy amplification with the Bennett-Brassard 1984 protocol for finite key lengths when we employ the decoy method. Using the formula, we can guarantee the security parameter…

Quantum Physics · Physics 2014-08-26 Masahito Hayashi , Ryota Nakayama

In this paper, we introduce a novel modification to the BB84 Quantum Key Distribution (QKD) protocol, aimed at enhancing its efficiency through the use of quantum memory and delayed measurement. In the standard BB84 protocol, the receiver…

Quantum Physics · Physics 2024-10-29 Mohammed Hassan , Omar Abouelazm

We construct a practically implementable classical processing for the BB84 protocol and the six-state protocol that fully utilizes the accurate channel estimation method, which is also known as the quantum tomography. Our proposed…

Quantum Physics · Physics 2008-10-19 Shun Watanabe , Ryutaroh Matsumoto , Tomohiko Uyematsu

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

This is a Bachelor's thesis on quantum key distribution in the non-asymptotic regime submitted to the Leibniz Universit\"at Hannover, Germany. It deals with the question how to generate a key to encrypt messages between two honest parties…

Quantum Physics · Physics 2015-11-23 Ramona Wolf
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