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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…

量子物理 · 物理学 2025-11-07 Vishal Singh , Karol Horodecki , Aby Philip , Mark M. Wilde

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

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

We analyze the set of two-qubit states from which a secret key can be extracted by single-copy measurements plus classical processing of the outcomes. We introduce a key distillation protocol and give the corresponding necessary and…

量子物理 · 物理学 2016-08-16 A. Acín , J. Bae , E. Bagan , M. Baig , Ll. Masanes , R. Muñoz-Tapia

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,…

量子物理 · 物理学 2009-11-10 Antonio Acin , Lluis Masanes , Nicolas Gisin

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

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…

量子物理 · 物理学 2025-06-16 Vishal Singh , Mark M. Wilde

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

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

We investigate which bipartite quantum states admit a symmetric extension and apply the results in the analysis of noise thresholds in quantum key distribution protocols with two-way postprocessing. We find that states that admit a…

量子物理 · 物理学 2011-03-04 Geir Ove Myhr

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…

量子物理 · 物理学 2010-01-07 Lluis Masanes , Andreas Winter

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

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 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

The one-way distillable entanglement is a central operational measure of bipartite entanglement, quantifying the optimal rate at which maximally entangled pairs can be extracted by one-way LOCC. Despite its importance, it is notoriously…

量子物理 · 物理学 2026-03-25 Rabsan Galib Ahmed , Graeme Smith , Peixue Wu

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

Coherence distillation is a basic information-theoretic task in the resource theory of coherence. In this paper, we present the necessary and sufficient conditions under which a mixed state can be distilled into a pure coherent state via…

量子物理 · 物理学 2022-03-29 C. L. Liu , D. L. Zhou , C. P. Sun

We prove that all inseparable Gaussian states of two modes can be distilled into maximally entangled pure states by local operations. Using this result we show that a bipartite Gaussian state of arbitrarily many modes can be distilled if…

量子物理 · 物理学 2013-05-29 G. Giedke , L. -M. Duan , J. I. Cirac , P. Zoller

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 ability to distill quantum coherence is pivotal for optimizing the performance of quantum technologies; however, such a task cannot always be accomplished with certainty. Here we develop a general framework of probabilistic distillation…

量子物理 · 物理学 2018-08-22 Kun Fang , Xin Wang , Ludovico Lami , Bartosz Regula , Gerardo Adesso
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