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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…

量子物理 · 物理学 2009-11-10 Karol Horodecki , Michal Horodecki , Pawel Horodecki , Jonathan Oppenheim

Entanglement is a fundamental resource for quantum information processing. In its pure form, it allows quantum teleportation and sharing classical secrets. Realistic quantum states are noisy and their usefulness is only partially…

量子物理 · 物理学 2014-04-15 Maris Ozols , Graeme Smith , John A. Smolin

Hereunder, we study the class of irreducible private states that are private states from which all the secret content is accessible via measuring their key part. We provide the first protocol which distills key not only from the key part,…

量子物理 · 物理学 2018-08-21 K. Horodecki , P. Ćwikliński , A. Rutkowski , M. Studziński

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…

量子物理 · 物理学 2018-02-21 Matthias Christandl , Roberto Ferrara

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…

量子物理 · 物理学 2015-05-13 Remigiusz Augusiak , Pawel Horodecki

It is proven that recently introduced states with perfectly secure bits of cryptographic key (private states representing secure bit) [K. Horodecki et al., Phys. Rev. Lett. 94, 160502 (2005)] as well as its multipartite and higher dimension…

量子物理 · 物理学 2007-11-07 Pawel Horodecki , Remigiusz Augusiak

In this paper, we develop the resource theory of quantum secret key. Operating under the assumption that entangled states with zero distillable key do not exist, we define the key cost of a quantum state, and device. We study its properties…

量子物理 · 物理学 2026-05-06 Karol Horodecki , Leonard Sikorski , Siddhartha Das , Mark M. Wilde

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…

量子物理 · 物理学 2010-09-23 Joonwoo Bae

The security of a cryptographic key that is generated by communication through a noisy quantum channel relies on the ability to distill a shorter secure key sequence from a longer insecure one. For an important class of protocols, which…

One of the remarkable features of quantum mechanics is the ability to ensure secrecy. Private states embody this effect, as they are precisely those multipartite quantum states from which two parties can produce a shared secret that cannot…

量子物理 · 物理学 2008-10-20 Joseph M. Renes , Jean-Christian Boileau

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…

量子物理 · 物理学 2021-10-27 Minjin Choi , Soojoon Lee

The following paper presents a holistic approach to the processing of entangled links within entanglement based quantum key distribution protocols, whose security relies on the Bell inequality. We investigate the interactions, and the…

量子物理 · 物理学 2026-05-07 Marcel Kokorsch , Guido Dietl

We provide a general formalism to characterize the cryptographic properties of quantum channels in the realistic scenario where the two honest parties employ prepare and measure protocols and the known two-way communication reconciliation…

量子物理 · 物理学 2010-09-23 Joonwoo Bae , Antonio Acin

We report experimental generation of a noisy entangled four-photon state that exhibits a separation between the secure key contents and distillable entanglement, a hallmark feature of the recently established quantum theory of private…

We propose a wide class of distillation schemes for multi-partite entangled states that are CSS-states. Our proposal provides not only superior efficiency, but also new insights on the connection between CSS-states and bipartite graph…

信息论 · 计算机科学 2008-04-05 Kai Chen , Hoi-Kwong Lo

We provide a class of bound entangled states that have positive distillable secure key rate. The smallest state of this kind is 4 \bigotimes 4. Our class is a generalization of the class presented in [1] (IEEE Trans. Inf. Theory 54, 2621…

量子物理 · 物理学 2010-12-15 Łukasz Pankowski , Michał Horodecki

Recently the explicit applicability of bound entanglement in quantum cryptography has been shown. In this paper some of recent results respecting this topic are reviewed. In particular relevant notions and definitions are reminded. The new…

量子物理 · 物理学 2007-12-27 Pawel Horodecki , Remigiusz Augusiak

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…

量子物理 · 物理学 2009-11-11 Karol Horodecki , Debbie Leung , Hoi-Kwong Lo , Jonathan Oppenheim

The study of properties of randomly chosen quantum states has in recent years led to many insights into quantum entanglement. In this work, we study private quantum states from this point of view. Private quantum states are bipartite…

量子物理 · 物理学 2024-09-02 Matthias Christandl , Roberto Ferrara , Cécilia Lancien

The security of a cryptographic key that is generated by communication through a noisy quantum channel relies on the ability to distill a shorter secure key sequence from a longer insecure one. We show that -- for protocols that use quantum…

量子物理 · 物理学 2015-06-26 Dagomir Kaszlikowski , Jenn Yang Lim , Leong Chuang Kwek , Berthold-Georg Englert
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