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We look into multipartite quantum states on which quantum cryptographic protocols including quantum key distribution and quantum secret sharing can be perfectly performed, and define the quantum cryptographic resource distillable rate as…

Quantum Physics · Physics 2021-10-27 Minjin Choi , Soojoon Lee

We consider quantum key distribution (QKD) and entanglement distribution using a single-sender multiple-receiver pure-loss bosonic broadcast channel. We determine the unconstrained capacity region for the distillation of bipartite…

Quantum Physics · Physics 2018-03-13 Masahiro Takeoka , Kaushik P. Seshadreesan , Mark M. Wilde

In this paper, we present sufficient conditions for states to have positive distillable key rate. Exploiting the conditions, we show that the bound entangled states given by Horodecki et al. [Phys. Rev. Lett. 94, 160502 (2005),…

Quantum Physics · Physics 2015-06-26 Dong Pyo Chi , Jeong Woon Choi , Jeong San Kim , Taewan Kim , Soojoon Lee

We derive a formal connection between quantum data hiding and quantum privacy, confirming the intuition behind the construction of bound entangled states from which secret bits can be extracted. We present three main results. First, we show…

Quantum Physics · Physics 2018-02-21 Matthias Christandl , Roberto Ferrara

Quantum key distribution (QKD) achieves information-theoretic security, without relying on computational assumptions, by distributing quantum states. To establish secret bits, two honest parties exploit key distillation protocols over…

Quantum Physics · Physics 2026-02-06 Rutvij Bhavsar , Junguk Moon , Joonwoo Bae

We investigate quantum repeaters in the context of quantum key distribution. We optimize the secret key rate per memory per second with respect to different distillation protocols and distillation strategies. For this purpose, we also…

Quantum Physics · Physics 2013-06-27 Sylvia Bratzik , Silvestre Abruzzo , Hermann Kampermann , Dagmar Bruß

A Quantum Key Distribution (QKD) protocol describes how two remote parties can establish a secret key by communicating over a quantum and a public classical channel that both can be accessed by an eavesdropper. QKD protocols using…

Information Theory · Computer Science 2020-01-27 Esmaeil Karimi , Emina Soljanin , Philip Whiting

We characterize the set of shared quantum states which contain a cryptographically private key. This allows us to recast the theory of privacy as a paradigm closely related to that used in entanglement manipulation. It is shown that one can…

Quantum Physics · Physics 2009-11-10 Karol Horodecki , Michal Horodecki , Pawel Horodecki , Jonathan Oppenheim

Secret-key distillation from quantum states and channels is a central task of interest in quantum information theory, as it facilitates private communication over a quantum network. Here, we study the task of secret-key distillation from…

Quantum Physics · Physics 2025-06-16 Vishal Singh , Mark M. Wilde

We present a simple method to obtain an upper bound on the achievable secret key rate in quantum key distribution (QKD) protocols that use only unidirectional classical communication during the public-discussion phase. This method is based…

Quantum Physics · Physics 2009-11-13 Tobias Moroder , Marcos Curty , Norbert Lütkenhaus

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

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

Entanglement distillation is a fundamental building block in long-distance quantum communication. Though known to be useless on their own for distilling Gaussian entangled states, local Gaussian operations may still help to improve…

Quantum Physics · Physics 2013-05-29 ShengLi Zhang , Peter van Loock

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 demonstrate that local transformations on a composite quantum system can be enhanced in the presence of certain entangled states. These extra states act much like catalysts in a chemical reaction: they allow otherwise impossible local…

Quantum Physics · Physics 2009-01-23 Daniel Jonathan , Martin B. Plenio

Recently it has been shown that quantum cryptography beyond pure entanglement distillation is possible and a paradigm for the associated protocols has been established. Here we systematically generalize the whole paradigm to the…

Quantum Physics · Physics 2015-05-13 Remigiusz Augusiak , Pawel Horodecki

We Haar uniformly generate random states of various ranks and study their performance in an entanglement-based quantum key distribution (QKD) task. In particular, we analyze the efficacy of random two-qubit states in realizing…

Quantum Physics · Physics 2023-02-14 Subhankar Bera , Shashank Gupta , A. S. Majumdar

Realizing secure communication between distant parties is one of quantum technology's main goals. Although quantum key distribution promises information-theoretic security for sharing a secret key, the key rate heavily depends on the level…

Quantum Physics · Physics 2025-11-05 Shin Sun , Kenneth Goodenough , Daniel Bhatti , David Elkouss

The notions of privacy tests and $k$-extendible states have both been instrumental in quantum information theory, particularly in understanding the limits of secure communication. In this paper, we determine the maximum probability with…

Quantum Physics · Physics 2025-11-07 Vishal Singh , Karol Horodecki , Aby Philip , Mark M. Wilde

Quantum key distribution promises information-theoretically secure communication, with data post-processing playing a vital role in extracting secure keys from raw data. While hardware advancements have significantly improved practical…

Quantum Physics · Physics 2025-12-01 Zhenyu Du , Guoding Liu , Xingjian Zhang , Xiongfeng Ma
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