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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

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),…

量子物理 · 物理学 2015-06-26 Dong Pyo Chi , Jeong Woon Choi , Jeong San Kim , Taewan Kim , Soojoon Lee

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

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

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

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

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

We construct multipartite entangled states with underlying W-type structure satisfying positive partial transpose (PPT) condition under any (N-1)|1 partition. Then we show how to distill N-partite secure key form the states using two…

量子物理 · 物理学 2009-11-13 Remigiusz Augusiak , Pawel Horodecki

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

We show the enhancement of distillable key rate for quantum key distribution(QKD), by local filtering, for several bound entangled states. Through our work it becomes evident that the local filtration operations, while transforming one…

量子物理 · 物理学 2020-09-24 Mayank Mishra , Ritabrata Sengupta , Arvind

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

We develop a formalism for distilling a classical key from a quantum state in a systematic way, expanding on our previous work on secure key from bound entanglement [K. Horodecki et. al., Phys. Rev. Lett. 94 (2005)]. More detailed proofs,…

量子物理 · 物理学 2016-11-17 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

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 analyse the entanglement of the antisymmetric state in dimension d x d and present two main results. First, we show that the amount of secrecy that can be extracted from the state is low, more precisely, the distillable key is bounded by…

量子物理 · 物理学 2012-06-08 Matthias Christandl , Norbert Schuch , Andreas Winter

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 describe a quantum cryptography protocol with up to twenty four-dimensional ($\mathcal{D} =4$) states generated by a polarization-, phase- and time-encoding transmitter. This protocol can be experimentally realized with existing…

量子物理 · 物理学 2010-05-05 W. T. Buttler , S. K. Lamoreaux , J. R. Torgerson

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

Quantum private states are the states that represent some amount of perfect secure key. A simple symmetry of any generalised private quantum state (ie. the states that represent perfect key but not fully random) is provided and extended on…

量子物理 · 物理学 2013-06-21 Jan Tuziemski , Paweł Horodecki

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…

量子物理 · 物理学 2009-11-13 Tobias Moroder , Marcos Curty , Norbert Lütkenhaus
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