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We present a theory of entanglement transformations of Gaussian pure states with local Gaussian operations and classical communication. This is the experimentally accessible set of operations that can be realized with optical elements such…

量子物理 · 物理学 2007-05-23 G. Giedke , J. Eisert , J. I. Cirac , M. B. Plenio

Quantifying the minimum entanglement needed to prepare quantum states and implement quantum processes is a key challenge in quantum information theory. In this work, we develop computable and faithful lower bounds on the entanglement cost…

量子物理 · 物理学 2025-05-08 Xin Wang , Mingrui Jing , Chengkai Zhu

We present a general theoretical framework for both deterministic and probabilistic entanglement transformations of bipartite pure states achieved via local operations and classical communication. This framework unifies and greatly…

量子物理 · 物理学 2009-11-07 G. M. D'Ariano , M. F. Sacchi

Recently, entanglement concentration was explicitly shown to be irreversible. However, it is still not clear what kind of states can be reversibly converted in the asymptotic setting by LOCC when neither the initial nor the target state is…

量子物理 · 物理学 2017-07-28 Kosuke Ito , Wataru Kumagai , Masahito Hayashi

Entanglement is among the most fundamental-and at the same time puzzling-properties of quantum physics. Its modern description relies on a resource-theoretical approach, which treats entangled systems as a means to enable or accelerate…

量子物理 · 物理学 2024-05-24 Serge Deside , Matthieu Arnhem , Célia Griffet , Nicolas J. Cerf

Entanglement is a resource in quantum information theory when state manipulation is restricted to Local Operations assisted by Classical Communication (LOCC). It is therefore of paramount importance to decide which LOCC transformations are…

量子物理 · 物理学 2013-09-19 Julio I. de Vicente , Cornelia Spee , Barbara Kraus

Local Operations enhancing the entanglement of bipartite quantum states are of great interest in quantum information processing. Subject of this paper are local selective operations acting on single copies of states. Such operations can…

量子物理 · 物理学 2007-05-23 Juliane Strassner , Christopher Witte

Entanglement is the resource to overcome the natural limitations of spatially separated parties restricted to Local Operations assisted by Classical Communications (LOCC). Recently two new classes of operational entanglement measures, the…

量子物理 · 物理学 2016-01-06 D. Sauerwein , K. Schwaiger , M. Cuquet , J. I. de Vicente , B. Kraus

There has been much discussion recently regarding entanglement transformations in terms of local filtering operations and whether the optimal entanglement for an arbitrary two-qubit state could be realised. We introduce an experimentally…

量子物理 · 物理学 2009-11-07 R. T. Thew , W. J. Munro

In this paper we show an explicit construction of multipartite class of entangled states with the PPT (Positive Partial Transposition) property in every cut. We investigate properties of this class of states focusing on the trace distance…

量子物理 · 物理学 2019-06-25 Adam Rutkowski , Michał Studziński

Quantum entanglement of pure states is usually quantified via the entanglement entropy, the von Neumann entropy of the reduced state. Entanglement entropy is closely related to entanglement distillation, a process for converting quantum…

量子物理 · 物理学 2021-10-06 Tulja Varun Kondra , Chandan Datta , Alexander Streltsov

The discovery of entangled quantum states from which one cannot distill pure entanglement constitutes a fundamental recent advance in the field of quantum information. Such bipartite bound-entangled (BE) quantum states \emph{could} fall…

量子物理 · 物理学 2009-11-10 Somshubhro Bandyopadhyay , Vwani Roychowdhury

Entanglement is a resource to overcome the natural restriction of operations used for state manipulation to Local Operations assisted by Classical Communication (LOCC). Hence, a bipartite maximally entangled state is a state which can be…

量子物理 · 物理学 2016-05-20 C. Spee , J. I. de Vicente , B. Kraus

We exhibit a two-parameter family of bipartite mixed states $\rho_{bc}$, in a $d\otimes d$ Hilbert space, which are negative under partial transposition (NPT), but for which we conjecture that no maximally entangled pure states in $2\otimes…

We demonstrate that even under positive partial transpose preserving operations in an asymptotic setting GHZ and W states are not reversibly interconvertible. We investigate the structure of minimal reversible entanglement generating set…

量子物理 · 物理学 2009-11-11 S. Ishizaka , M. B. Plenio

Multiqubit positive-partial-transpose (PPT) entangled states play an important role in quantum information theory. We characterize such states of minimum rank in three-qubit system, namely rank four. Depending on whether the Lorentz…

量子物理 · 物理学 2026-05-20 Yonggang Cheng , Lin Chen

We introduce systematically with the help of Weyl operators novel classes of multipartite and multidimensional states which are all bound entangled for arbitrary dimension. We find that the entanglement is bound due to different reasons:…

量子物理 · 物理学 2009-06-02 B. C. Hiesmayr , M. Huber

It is known that from entangled states that have positive partial transpose it is not possible to distill maximally entangled states by local operations and classical communication (LOCC). A long-standing open question is whether maximally…

量子物理 · 物理学 2013-08-27 Lukasz Pankowski , Fernando G. S. L. Brandao , Michal Horodecki , Graeme Smith

Entanglement is a fundamental resource in quantum information processing, yet understanding its manipulation and transformation remains a challenge. Many tasks rely on highly entangled pure states, but obtaining such states is often…

量子物理 · 物理学 2024-12-24 Ray Ganardi , Tulja Varun Kondra , Alexander Streltsov

If we want to transform the quantum state of a system to another using local measurement processes, what is the probability of success? This probability is bounded by quantifying entanglement in both the states. In this paper, we construct…

量子物理 · 物理学 2026-03-18 Abhijit Gadde , Shraiyance Jain , Harshal Kulkarni