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The quantum mechanics formalism introduced new revolutionary concepts challenging our everyday perceptions. Arguably, quantum entanglement, which explains correlations that cannot be reproduced classically, is the most notable of them.…

Entanglement is a fundamental feature of quantum mechanics, considered a key resource in quantum information processing. Measuring entanglement is an essential step in a wide range of applied and foundational quantum experiments. When a…

The quantum formalism can be completed by assuming that a density operator can also represent a pure state. An 'extended Bloch representation' (EBR) then results, in which not only states, but also the measurement-interactions can be…

量子物理 · 物理学 2018-03-20 Diederik Aerts , Massimiliano Sassoli de Bianchi , Sandro Sozzo

Ever since entanglement was identified as a computational and cryptographic resource, effort has been made to find an efficient way to tell whether a given density matrix represents an unentangled, or separable, state. Essentially, this is…

数据结构与算法 · 计算机科学 2007-05-23 Lawrence M. Ioannou

Entanglement is one of the most intriguing features of quantum mechanics. It describes non-local correlations between quantum objects, and is at the heart of quantum information sciences. Entanglement is rapidly gaining prominence in…

Quantifying entanglement is an important issue in quantum information theory. Here we consider the entanglement measures through the trace norm in terms of two methods, the modified measure and the extended measure for bipartite states. We…

量子物理 · 物理学 2023-02-09 Xian Shi , Lin Chen , Yixuan Liang

The problem of quantum state inference and the concept of quantum entanglement are studied using a non-additive measure in the form of Tsallis entropy indexed by the positive parameter q. The maximum entropy principle associated with this…

量子物理 · 物理学 2009-10-31 Sumiyoshi Abe , A. K. Rajagopal

We have implemented an optical quantum eraser with the aim of studying this phenomenon in the context of state discrimination. An interfering single photon is entangled with another one serving as a which-path marker. As a consequence, the…

量子物理 · 物理学 2015-05-13 L Neves , G Lima , J Aguirre , F A Torres-Ruiz , C Saavedra , A Delgado

We give an exact solution to the nonlinear optimization problem of approximating a Hermitian matrix by positive semi-definite matrices. Our algorithm was then used to judge whether a quantum state is entangled or not. We show that the exact…

量子物理 · 物理学 2012-07-13 Xiaofen Huang , Naihuan Jing

Despite their inextricable quantum mechanical nature, events at a high energy particle collider experiment typically have very few unambiguous quantum signatures, due the type of data and the manner in which they are collected. We present a…

高能物理 - 唯象学 · 物理学 2022-05-25 Andrew J. Larkoski

An entangled quantum state is considered by applying a local photon excitation to each mode of an entangled coherent state. The entanglement property is investigated in terms of the entropy of entanglement. It is shown that applying a…

量子物理 · 物理学 2023-04-13 Arpita Chatterjee

Various topics concerning the entanglement of composite quantum systems are considered with particular emphasis concerning the strict relations of such a problem with the one of attributing objective properties to the constituents. Most of…

量子物理 · 物理学 2007-05-23 Giancarlo Ghirardi , Luca Marinatto , Tullio Weber

Detection of entanglement through partial knowledge of the quantum state is a challenge to implement efficiently. Here we propose a separability criterion for detecting bipartite entanglement in arbitrary dimensional quantum states using…

量子物理 · 物理学 2024-05-28 Shruti Aggarwal , Satyabrata Adhikari , A. S. Majumdar

Consider the question: what statistical ensemble corresponds to minimal prior knowledge about a quantum system ? For the case where the system is in fact known to be in a pure state there is an obvious answer, corresponding to the unique…

量子物理 · 物理学 2009-10-31 Michael J. W. Hall

We present a concise introduction to quantum entanglement. Concentrating on bipartite systems we review the separability criteria and measures of entanglement. We focus our attention on geometry of the sets of separable and maximally…

量子物理 · 物理学 2007-05-23 Karol Zyczkowski , Ingemar Bengtsson

We present a theoretical study of entanglement in ensembles consisting of an arbitrary number of particles. Multipartite entanglement criteria in terms of observables are formulated for a fixed number of particles as well as for systems…

量子物理 · 物理学 2017-06-22 J. Sperling , I. A. Walmsley

We find that a class of entanglement measures for bipartite pure state can be expressed by the average values of quantum operators, which are related to any complete basis of one partite operator space. Two specific examples are given based…

量子物理 · 物理学 2007-05-23 Z. Xu , B. Zeng , D. L. Zhou

Resource identification and quantification is an essential element of both classical and quantum information theory. Entanglement is one of these resources, arising when quantum communication and nonlocal operations are expensive to…

量子物理 · 物理学 2013-03-20 Sebastian Meznaric

We examine the inference of quantum density operators from incomplete information by means of the maximization of general non-additive entropic forms. Extended thermodynamic relations are given. When applied to a bipartite spin 1/2 system,…

量子物理 · 物理学 2015-05-20 N. Canosa , R. Rossignoli

We introduce a sequence of numerical tests that can determine the entanglement or separability of a state even when there is not enough information to completely determine its density matrix. Given partial information about the state in the…

量子物理 · 物理学 2012-12-14 Federico M. Spedalieri