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Privacy amplification is a necessary step in all quantum key distribution protocols, and error correction is needed in each except when signals of many photons are used in the key communication in quantum noise approach. No security…

Quantum Physics · Physics 2014-11-11 Horace Yuen

The present thesis deals with various methods of quantum error correction. It is divided into two parts. In the first part, dynamical decoupling methods are considered which have the task of suppressing the influence of residual…

Quantum Physics · Physics 2009-09-30 Oliver Kern

It is demonstrated that for the entanglement-based version of the Bennett-Brassard (BB84) quantum key distribution protocol, Alice and Bob share provable entanglement if and only if the estimated qubit error rate is below 25% or above 75%.…

Quantum Physics · Physics 2007-05-23 Georgios M. Nikolopoulos , Gernot Alber

Shor and Preskill have provided a simple proof of security of the standard quantum key distribution scheme by Bennett and Brassard (BB84) by demonstrating a connection between key distribution and entanglement purification protocols with…

Quantum Physics · Physics 2007-05-23 Daniel Gottesman , Hoi-Kwong Lo

We study the stability under quantum noise effects of the quantum privacy amplification protocol for the purification of entanglement in quantum cryptography. We assume that the E91 protocol is used by two communicating parties (Alice and…

Quantum Physics · Physics 2007-05-23 Giuliano Benenti , Sara Felloni , Giuliano Strini

We consider error correction in quantum key distribution. To avoid that Alice and Bob unwittingly end up with different keys precautions must be taken. Before running the error correction protocol, Bob and Alice normally sacrifice some bits…

Quantum Physics · Physics 2014-10-24 Øystein Marøy , Magne Gudmundsen , Lars Lydersen , Johannes Skaar

We introduce list privacy amplification (LPA), a relaxation of the final step of quantum key distribution (QKD) in which Alice and Bob extract a list of $L$ candidate keys from a raw string correlated with an eavesdropper Eve, with the…

Quantum Physics · Physics 2026-03-20 Prateek P. Kulkarni

The security of quantum key distribution (QKD) is evaluated based on the secrecy of Alice's key and the correctness of the keys held by Alice and Bob. A practical method for ensuring correctness is known as error verification, in which…

Quantum Physics · Physics 2025-12-04 Toyohiro Tsurumaru , Akihiro Mizutani , Toshihiko Sasaki

Privacy amplification is the key step to guarantee the security of quantum communication. The existing security proofs require accumulating a large number of raw key bits for privacy amplification. This is similar to block ciphers in…

Quantum Physics · Physics 2022-07-05 Yizhi Huang , Xingjian Zhang , Xiongfeng Ma

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

In this paper, we propose how to construct a reconciliation method for the BB84 Quantum Key Distribution (QKD) protocol. Theoretically, it is unconditionally secure because it is based on the quantum laws of physics, rather than the assumed…

Cryptography and Security · Computer Science 2020-02-13 Nedra Benletaief , Houria Rezig , Ammar Bouallegue

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

So far all the proven unconditionally secure prepare and measure protocols for the quantum key distribution(QKD) must solve the very complex problem of decoding the classical CSS code. In the decoding stage, Bob has to compare his string…

Quantum Physics · Physics 2007-05-23 Wang Xiang-bin

We give a security proof of the `Round Robin Differential Phase Shift' Quantum Key Distribution scheme, and we give a tight bound on the required amount of privacy amplification. Our proof consists of the following steps. We construct an…

Quantum Physics · Physics 2018-02-09 Daan Leermakers , Boris Skoric

Privacy amplification is an indispensable step in the post-processing of quantum key distribution, which can be used to compress the redundancy of shared key and improve the security level of the key. The commonly used privacy amplification…

Quantum Physics · Physics 2021-09-16 Wei Li , Shengmei Zhao

We present a new technique for proving the security of quantum key distribution (QKD) protocols. It is based on direct information-theoretic arguments and thus also applies if no equivalent entanglement purification scheme can be found.…

Quantum Physics · Physics 2009-11-11 R. Renner , N. Gisin , B. Kraus

Employing the fundamental laws of quantum physics, Quantum Key Distribution (QKD) promises the unconditionally secure distribution of cryptographic keys. However, in practical realisations, a QKD protocol is only secure, when the quantum…

Quantum Physics · Physics 2011-12-07 Muhammad Mubashir Khan , Jie Xu , Almut Beige

The privacy amplification term, of which the lower bound needs to be estimated with the decoy-state method, plays a positive role in the secure key rate formula for decoy-state quantum key distribution. In previous work, the yield and the…

Quantum Physics · Physics 2015-02-17 Haodong Jiang , Ming Gao , Hong Wang , Hongxin Li , Zhi Ma

When sending quantum information over a channel, we want to ensure that the message remains intact. Quantum error correction and quantum authentication both aim to protect (quantum) information, but approach this task from two very…

Quantum Physics · Physics 2022-11-18 Yfke Dulek , Garazi Muguruza , Florian Speelman

This work presents some novel techniques to enhance an encryption scheme motivated by classical McEliece cryptosystem. Contributions include: (1) using masking matrices to hide sensitive data, (2) allowing both legitimate parties to…

Cryptography and Security · Computer Science 2024-01-30 Amir K. Khandani
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