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We prove that it is impossible to distill more entanglement from a single copy of a two-mode bipartite entangled Gaussian state via LOCC Gaussian operations. More generally, we show that any hypothetical distillation protocol for Gaussian…

量子物理 · 物理学 2009-11-07 Jaromir Fiurasek

Consider entanglement concentration schemes that convert n identical copies of a pure state into a maximally entangled state of a desired size with success probability being close to one in the asymptotic limit. We give the distillable…

量子物理 · 物理学 2009-11-07 Masahito Hayashi , Masato Koashi , Keiji Matsumoto , Fumiaki Morikoshi , Andreas Winter

We consider entanglement distillation under the assumption that the input states are allowed to be correlated among each other. We hence replace the usually considered independent and identically-distributed hypothesis by the weaker…

量子物理 · 物理学 2013-08-27 Fernando G. S. L. Brandao , Jens Eisert

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 continuous variable quantum key distribution is expected to provide high secret key rate without single photon source and detector, but the lack of the secure and effective key distillation method makes it unpractical. Here, we present…

量子物理 · 物理学 2007-05-23 Yi-bo Zhao , Zheng-fu Han , Jin-jian Chen , You-zhen Gui , Guang-can Guo

In this paper we illuminate the relation between entanglement and secrecy by providing the first example of a quantum state that is highly entangled, but from which, nevertheless, almost no secrecy can be extracted. More precisely, we…

量子物理 · 物理学 2011-01-25 Matthias Christandl , Norbert Schuch , Andreas Winter

The squashed entanglement is a fundamental entanglement measure in quantum information theory, finding application as an upper bound on the distillable secret key or distillable entanglement of a quantum state or a quantum channel. This…

量子物理 · 物理学 2018-01-09 Mark M. Wilde

We address perfect discrimination of two separable states. When available states are restricted to separable states, we can theoretically consider a larger class of measurements than the class of measurements allowed in quantum theory. The…

量子物理 · 物理学 2020-10-08 Hayato Arai , Yuuya Yoshida , Masahito Hayashi

We construct a class of entangled states in $\mathcal{H}=\mathcal{H}_{A}\otimes\mathcal{H}_{B}\otimes\mathcal{H}_{C}$ quantum systems with $dim\mathcal{H}_{A}=dim\mathcal{H}_{B}=dim\mathcal{H}_{C}=2$ and classify those states with respect…

量子物理 · 物理学 2015-09-25 Hui Zhao , Xinyu Yu , Naihuan Jing

We consider the distinguishability of Gaussian states from the view point of continuous-variable quantum cryptography using post-selection. Specifically, we use the probability of error to distinguish between two pure coherent (squeezed)…

量子物理 · 物理学 2015-05-13 Christian Weedbrook , Daniel J. Alton , Thomas Symul , Ping Koy Lam , Timothy C. Ralph

It is known that he bipartite quantum states, with rank strictly smaller than the maximum of the ranks of its two reduced states, are distillable by local operations and classical communication. Our first main result is that this is also…

量子物理 · 物理学 2015-05-27 Lin Chen , Dragomir Z. Djokovic

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

A universal squeezing gate capable of squeezing arbitrary input states is essential for continuous-variable quantum computation~\cite{PRA79062318,PRL112120504}. However, in present state-of-the-art…

量子物理 · 物理学 2020-06-02 Jie Zhao , Kui Liu , Jeng Hao , Mile Gu , Jayne Thompson , Ping Koy Lam , Syed Assad

Various aspects of distillation of noisy entanglement and some associated effects in quantum error correction are considered. In particular we prove that if only one--way classical communication (from Alice to Bob) is allowed and the shared…

量子物理 · 物理学 2009-11-11 Pawel Horodecki , Maciej Demianowicz

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…

量子物理 · 物理学 2016-08-10 Holger Boche , Gisbert Janßen

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

We compute analytically the maximal rates of distillation of quantum coherence under strictly incoherent operations (SIO) and physically incoherent operations (PIO), showing that they coincide for all states, and providing a complete…

量子物理 · 物理学 2019-04-23 Ludovico Lami , Bartosz Regula , Gerardo Adesso

We analyse the problem of distillation of entanglement of mixed states in higher dimensional compound systems. Employing the positive maps method [M. Horodecki et al., Phys. Lett. A 223 1 (1996)] we introduce and analyse a criterion of…

量子物理 · 物理学 2008-02-03 Michal Horodecki , Pawel Horodecki

We establish fundamental upper bounds on the amount of secret key that can be extracted from quantum Gaussian states by using only local Gaussian operations, local classical processing, and public communication. For one-way public…

量子物理 · 物理学 2023-10-03 Ludovico Lami , Ladislav Mišta, , Gerardo Adesso

It is impossible to discriminate four Bell states through local operations and classical communication (LOCC), if only one copy is provided. To complete this task, two copies will suffice and be necessary. When $n$ copies are provided, we…

量子物理 · 物理学 2009-11-07 Yi-Xin Chen , Dong Yang