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A secret key shared through quantum key distribution between two cooperative players is secure against any eavesdropping attack allowed by the laws of physics. Yet, such a key can be established only when the quantum channel error rate due…

Quantum Physics · Physics 2007-05-23 H. F. Chau

Quantum key distribution performs the trick of growing a secret key in two distant places connected by a quantum channel. The main reason is that the legitimate users can bound the information gathered by the eavesdropper. In practical…

Quantum Physics · Physics 2013-06-03 David Elkouss , Jesus Martinez-Mateo , Vicente Martin

Quantum key distribution (QKD) promises information-theoretic security based on quantum mechanics, but practical implementations face security vulnerabilities due to device imperfections. Recent advances have separately addressed source and…

Quantum Physics · Physics 2025-07-08 Guillermo Currás-Lorenzo , Margarida Pereira , Shlok Nahar , Devashish Tupkary

In contrast to classical public-key cryptosystems, where the security of encoded messages relies on on computational assumptions, Quantum Key Distribution (QKD) enables two distant parties to establish a shared secret key that, when…

Existing quantum cryptographic schemes are not, as they stand, operable in the presence of noise on the quantum communication channel. Although they become operable if they are supplemented by classical privacy-amplification techniques, the…

Quantum Physics · Physics 2009-01-23 D. Deutsch , A. Ekert , R. Jozsa , C. Macchiavello , S. Popescu , A. Sanpera

As quantum key distribution becomes a mature technology, it appears clearly that some assumptions made in the security proofs cannot be justified in practical implementations. This might open the door to possible side-channel attacks. We…

Quantum Physics · Physics 2015-06-05 Paul Jouguet , Sébastien Kunz-Jacques , Eleni Diamanti , Anthony Leverrier

Security of quantum key distribution (QKD) protocols relies solely on quantum physics laws, namely, on the impossibility to distinguish between non-orthogonal quantum states with absolute certainty. Due to this, a potential eavesdropper…

Quantum Physics · Physics 2023-06-22 Valeria A. Pastushenko , Dmitry A. Kronberg

We treat secret key extraction when the eavesdropper has correlated quantum states. We propose quantum privacy amplification theorems different from Renner's, which are based on quantum conditional R\'{e}nyi entropy of order 1+s. Using…

Quantum Physics · Physics 2016-09-28 Masahito Hayashi

Privacy amplification (PA) is an essential post-processing step in quantum key distribution (QKD) for removing any information an eavesdropper may have on the final secret key. In this paper, we consider delaying PA of the final key after…

Quantum Physics · Physics 2012-03-12 Chi-Hang Fred Fung , Xiongfeng Ma , H. F. Chau , Qing-yu Cai

Quantum key distribution (QKD) promises unconditionally secure key generation between two distant parties by wisely exploiting properties of quantum mechanics. In QKD, experimental measurements on quantum states are transformed to a secret…

Quantum Physics · Physics 2011-05-03 Xiongfeng Ma , Chi-Hang Fred Fung , Jean-Christian Boileau , H. F. Chau

It is a standard result in the theory of quantum error-correcting codes that no code of length n can fix more than n/4 arbitrary errors, regardless of the dimension of the coding and encoded Hilbert spaces. However, this bound only applies…

Quantum Physics · Physics 2007-05-23 Claude Crepeau , Daniel Gottesman , Adam Smith

Quantum key distribution allows two parties, traditionally known as Alice and Bob, to establish a secure random cryptographic key if, firstly, they have access to a quantum communication channel, and secondly, they can exchange classical…

Quantum Physics · Physics 2007-05-23 Matthias Christandl , Renato Renner , Artur Ekert

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

Using quantum mechanics, secure direct communication between distant parties can be performed. Over a noisy quantum channel, quantum privacy amplification is a necessary step to ensure the security of the message. In this paper, we present…

Quantum Physics · Physics 2007-05-23 Fu-Guo Deng , Gui Lu Long

Quantum cryptography has attracted much recent attention due to its potential for providing secret communications that cannot be decrypted by any amount of computational effort. This is the first analysis of the secrecy of a practical…

Quantum Physics · Physics 2007-05-23 G. Gilbert , M. Hamrick

High-quality, distributed quantum entanglement is the distinctive resource for quantum communication and forms the foundation for the unequalled level of security that can be assured in quantum key distribution. While the entanglement…

Quantum Physics · Physics 2024-08-23 Philipp Sohr , Sebastian Ecker , Lukas Bulla , Martin Bohmann , Rupert Ursin

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

In practical quantum key distribution (QKD) system, the state preparation and measurement are imperfect comparing with the ideal BB84 protocol, which are always state-dependent in practical realizations. If the state-dependent imperfections…

Quantum Physics · Physics 2011-12-21 Hong-Wei Li , Zhen-Qiang Yin , Zheng-Fu Han , Wan-Su Bao , Guang-Can Guo

Differential privacy provides a theoretical framework for processing a dataset about $n$ users, in a way that the output reveals a minimal information about any single user. Such notion of privacy is usually ensured by noise-adding…

Quantum Physics · Physics 2023-08-23 Armando Angrisani , Mina Doosti , Elham Kashefi

Most security proofs of quantum key distribution (QKD) assume that there is no unwanted information leakage about the state preparation process. However, this assumption is impossible to guarantee in practice, as QKD systems can leak…