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We study the problem of secret key distillation from bipartite states in the scenario where Alice and Bob can only perform measurements at the single-copy level and classically process the obtained outcomes. Even with these limitations,…

Quantum Physics · Physics 2009-11-10 Antonio Acin , Lluis Masanes , Nicolas Gisin

Within entanglement theory there are criteria which certify that some quantum states cannot be distilled into pure entanglement. An example is the positive partial transposition criterion. Here we present, for the first time, the analogous…

Quantum Physics · Physics 2010-01-07 Lluis Masanes , Andreas Winter

We prove unconditional security for a quantum key distribution (QKD) protocol based on distilling pbits (twisted ebits) [quant-ph/0309110] from an arbitrary untrusted state that is claimed to contain distillable key. Our main result is that…

Quantum Physics · Physics 2016-11-18 Karol Horodecki , Michal Horodecki , Pawel Horodecki , Debbie Leung , Jonathan Oppenheim

We investigate the task of conference key agreement in near-term quantum networks, where the nodes are connected by sources of bipartite entangled states, under the class of local operations not requiring quantum memory. We derive upper…

Quantum Physics · Physics 2026-05-19 Justus Neumann , Hermann Kampermann , Dagmar Bruß , Anton Trushechkin

Provable entanglement has been shown to be a necessary precondition for unconditionally secure key generation in the context of quantum cryptographic protocols. We estimate the maximal threshold disturbance up to which the two legitimate…

Quantum Physics · Physics 2007-05-23 G. M. Nikolopoulos , A. Khalique , G. Alber

Resource theories in quantum information science are helpful for the study and quantification of the performance of information-processing tasks that involve quantum systems. These resource theories also find applications in other areas of…

Quantum Physics · Physics 2021-08-09 Eneet Kaur , Siddhartha Das , Mark M. Wilde , Andreas Winter

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

The distillable randomness of a bipartite quantum state is an information-theoretic quantity equal to the largest net rate at which shared randomness can be distilled from the state by means of local operations and classical communication.…

Quantum Physics · Physics 2023-07-06 Ludovico Lami , Bartosz Regula , Xin Wang , Mark M. Wilde

Due to its ability to tolerate high channel loss, decoy-state quantum key distribution (QKD) has been one of the main focuses within the QKD community. Notably, several experimental groups have demonstrated that it is secure and feasible…

Quantum Physics · Physics 2014-02-12 Charles Ci Wen Lim , Marcos Curty , Nino Walenta , Feihu Xu , Hugo Zbinden

We describe how to achieve optimal entanglement generation and one-way entanglement distillation rates by coherent implementation of a class of secret key generation and secret key distillation protocols, respectively. This short paper is a…

Quantum Physics · Physics 2007-05-23 Igor Devetak , Andreas Winter

It is known that advantage distillation (that is, information reconciliation using two-way communication) improves noise tolerances for quantum key distribution (QKD) setups. Two-way communication is hence also of interest in the…

Quantum Physics · Physics 2023-03-27 Thomas A. Hahn , Ernest Y. -Z. Tan

Quantum key distribution (QKD) refers to specific quantum strategies which permit the secure distribution of a secret key between two parties that wish to communicate secretly. Quantum cryptography has proven unconditionally secure in ideal…

Quantum Physics · Physics 2008-10-14 C. Rodó , O. Romero-Isart , K. Eckert , A. Sanpera

We establish a one-shot strong converse bound for privacy amplification against quantum side information using trace distance as a security criterion. This strong converse bound implies that in the independent and identical scenario, the…

Quantum Physics · Physics 2022-02-22 Yu-Chen Shen , Li Gao , Hao-Chung Cheng

Self-testing refers to a method with which a classical user can certify the state and measurements of quantum systems in a device-independent way. Especially, the self-testing of entangled states is of great importance in quantum…

We consider secret-key distillation from tripartite compound classical-quantum-quantum (cqq) sources with free forward public communication under strong security criterion. We design protocols which are universally reliable and secure in…

Quantum Physics · Physics 2016-08-10 Holger Boche , Gisbert Janßen

The use of decoy states in quantum key distribution (QKD) has provided a method for substantially increasing the secret key rate and distance that can be covered by QKD protocols with practical signals. The security analysis of these…

Quantum Physics · Physics 2009-11-13 Marcos Curty , Tobias Moroder , Xiongfeng Ma , Hoi-Kwong Lo , Norbert Lütkenhaus

Monogamy of entanglement, which limits how entanglement can be shared among multiple parties, is a fundamental feature underpinning the privacy of quantum communication. In this work, we introduce a novel operational framework to quantify…

Quantum Physics · Physics 2025-10-31 Hongshun Yao , Jingu Xie , Xuanqiang Zhao , Chengkai Zhu , Ranyiliu Chen , Xin Wang

States with private correlations but little or no distillable entanglement were recently reported. Here, we consider the secure distribution of such states, i.e., the situation when an adversary gives two parties such states and they have…

Quantum Physics · Physics 2009-11-11 Karol Horodecki , Debbie Leung , Hoi-Kwong Lo , Jonathan Oppenheim

The quantum states corresponding to a secret key are characterized using the so-called private states, where the key part consisting of a secret key is shielded by the additional systems. Based on the construction, it was shown that a…

Quantum Physics · Physics 2010-09-23 Joonwoo Bae

Cryptographic protocols are often based on the two main resources: private randomness and private key. In this paper, we develop a relationship between these two resources. First, we show that any state containing perfect, directly…

Quantum Physics · Physics 2020-07-21 Karol Horodecki , Ryszard P. Kostecki , Roberto Salazar , Michał Studziński