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Cryptanalysis is an important branch in the study of cryptography, including both the classical cryptography and the quantum one. In this paper we analyze the security of two three-party quantum key distribution protocols (QKDPs) proposed…

Quantum Physics · Physics 2011-04-21 Fei Gao , Su-Juan Qin , Fen-Zhuo Guo , Qiao-Yan Wen

We devise a new quantum key distribution scheme that is more efficient than the BB84 protocol. By pre-announcing basis, Alice and Bob are more likely to use the same basis to prepare and measure the qubits, thus achieves a higher…

Quantum Physics · Physics 2015-06-23 Jingliang Gao , Changhua Zhu , Heling Xiao

We consider the extraction of shared secret key from correlations that are generated by either a classical or quantum source. In the classical setting, two honest parties (Alice and Bob) use public discussion and local randomness to distill…

Quantum Physics · Physics 2015-10-27 Eric Chitambar , Benjamin Fortescue , Min-Hsiu Hsieh

In adversarial settings, where attackers can deliberately and strategically corrupt quantum data, standard quantum error correction reaches its limits. It can only correct up to half the code distance and must output a unique answer.…

Quantum Physics · Physics 2025-09-12 Rahul Arvind , Nikhil Bansal , Dax Enshan Koh , Tobias Haug , Kishor Bharti

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

Quantum key distribution (QKD) is a popular protocol that provides information theoretically secure keys to multiple parties. Two important post-processing steps of QKD are 1) the information reconciliation (IR) step, where parties…

Information Theory · Computer Science 2024-03-04 Lev Tauz , Debarnab Mitra , Jayanth Shreekumar , Murat Can Sarihan , Chee Wei Wong , Lara Dolecek

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 introduce an improved one-shot characterisation of randomness extraction against quantum side information (privacy amplification), strengthening known one-shot bounds and providing a unified derivation of the tightest known asymptotic…

Quantum Physics · Physics 2026-04-07 Bartosz Regula , Marco Tomamichel

Privacy amplification is an indispensable step in postprocessing of continuous-variable quantum key distribution (CV-QKD), which is used to distill unconditional secure keys from identical corrected keys between two distant legal parties.…

Quantum Physics · Physics 2018-05-08 Xiangyu Wang , Yi-Chen Zhang , Song Yu , Hong Guo

We study the problem of privacy amplification with an active adversary in the information theoretic setting. In this setting, two parties Alice and Bob start out with a shared $n$-bit weak random string $W$, and try to agree on a secret…

Computational Complexity · Computer Science 2010-11-12 Xin Li

Quantum state privacy amplification (QSPA) is the quantum analogue of classical privacy amplification. If the state information of a series of single particle states has some leakage, QSPA reduces this leakage by condensing the state…

Quantum Physics · Physics 2010-07-20 Liang Hao , Chuan Wang , Gui Lu Long

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

A central assumption in quantum key distribution (QKD) is that Eve has no knowledge about which rounds will be used for parameter estimation or key distillation. Here we show that this assumption is violated for iterative sifting, a sifting…

Quantum Physics · Physics 2016-05-12 Corsin Pfister , Norbert Lütkenhaus , Stephanie Wehner , Patrick J. Coles

This paper introduces a novel lower bound on communication complexity using quantum relative entropy and mutual information, refining previous classical entropy-based results. By leveraging Uhlmann's lemma and quantum Pinsker inequalities,…

Quantum Physics · Physics 2025-07-29 Fengxia Liu , Zhiyong Zheng , Kun Tian , Yi Zhang , Heng Guo , Zhe Hu , Oleksiy Zhedanov , Zixian Gong

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

In this Paper, we investigate the security of Zhang, Li and Guo quantum key distribution via quantum encryption protocol [$\text{Phys. Rev. A} \textbf{64}, 24302 (2001)$] and show that it is not secure against some of Eve's attacks and with…

Quantum Physics · Physics 2007-05-23 A. Fahmi

We give a proof that entanglement purification, even with noisy apparatus, is sufficient to disentangle an eavesdropper (Eve) from the communication channel. In the security regime, the purification process factorises the overall initial…

Quantum Physics · Physics 2009-11-07 Hans Aschauer , Hans J. Briegel

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 prove new lower bounds for locally decodable codes and private information retrieval. We show that a 2-query LDC encoding n-bit strings over an l-bit alphabet, where the decoder only uses b bits of each queried position of the codeword,…

Quantum Physics · Physics 2007-05-23 Stephanie Wehner , Ronald de Wolf

We present two new schemes for quantum key distribution (QKD) that neither require entanglement nor an ideal single-photon source, making them implementable with commercially available single-photon sources. These protocols are shown to be…

Quantum Physics · Physics 2025-05-13 Arindam Dutta , Anirban Pathak