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The quantification and classification of quantum entanglement is a very important and still open question of quantum information theory. In this paper, we describe an entanglement measure for multipartite pure states (the minimum of…

量子物理 · 物理学 2009-05-05 A. Yu. Chernyavskiy

Quantum entropy is an important measure for describing the uncertainty of a quantum state, more uncertainty in subsystems implies stronger quantum entanglement between subsystems. Our goal in this work is to quantify bipartite entanglement…

量子物理 · 物理学 2022-04-18 Xue Yang , Yan-Han Yang , Li-Ming Zhao , Ming-Xing Luo

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

Entanglement of pure states of bipartite quantum systems has been shown to have a unique measure in terms of the von Neumann entropy of the reduced states of either of its subsystems. The measure is established under entanglement…

量子物理 · 物理学 2007-05-23 Garry Bowen , Nilanjana Datta

In this paper, we consider the problem of how to quantify entanglement for any multipartite quantum states. For bipartite pure states partial entropy is a good entanglement measure. By using partial entropy, we firstly introduce the…

量子物理 · 物理学 2007-06-13 Zongwen Yu , Su Hu , Chunlei Zhang

Entropy measures quantify the amount of information and correlation present in a quantum system. In practice, when the quantum state is unknown and only copies thereof are available, one must resort to the estimation of such entropy…

量子物理 · 物理学 2024-03-27 Ziv Goldfeld , Dhrumil Patel , Sreejith Sreekumar , Mark M. Wilde

This paper presents a new measure of entanglement which can be employed for multipartite entangled systems. The classification of multipartite entangled systems based on this measure is considered. Two approaches to applying this measure to…

量子物理 · 物理学 2018-08-20 Seyed Arash Sheikholeslam , Thomas Aaron Gulliver

Bipartite entanglement entropies, calculated from the reduced density matrix of a subsystem, provide a description of the resources available within a system for performing quantum information processing. However, these quantities are not…

量子物理 · 物理学 2014-02-06 Robert N. C. Pfeifer

Measuring entanglement is a demanding task in the field of quantum computation and quantum information theory. Recently, some authors experimentally demonstrated an embedding quantum simulator, using it to efficiently measure two-qubit…

量子物理 · 物理学 2018-11-01 Saeed Haddadi , Mohammad Bohloul

An extension to computational mechanics complexity measure is proposed in order to tackle quantum states complexity quantification. The method is applicable to any $n-$partite state of qudits through some simple modifications. A Werner…

计算物理 · 物理学 2011-10-28 Yuri Campbell , José Roberto Castilho Piqueira

The degree to which a pure quantum state is entangled can be characterized by the distance or angle to the nearest unentangled state. This geometric measure of entanglement, already present in a number of settings [A. Shimony, Ann. NY.…

量子物理 · 物理学 2007-05-23 Tzu-Chieh Wei , Paul M. Goldbart

The Von Neumann entropy of reduced states is a measure of bipartite entanglement. Despite its name, the entanglement entropy cannot by itself be used as a resource for creating thermodynamic heat flows. In order to extract heat from an…

量子物理 · 物理学 2026-05-04 Lisa Lenstra , Jasper van Wezel

We provide a generalized treatment of uncertainties, von Neumann entropy, and squeezing in entangled bipartite pure state of two-level atoms. We observe that when the bipartite state is entangled, though the von Neumann entropy of the…

量子物理 · 物理学 2025-06-04 Ram Narayan Deb

The degree to which a pure quantum state is entangled can be characterized by the distance or angle to the nearest unentangled state. This geometric measure of entanglement, already present in a number of settings (see Shimony 1995 and…

量子物理 · 物理学 2009-11-10 Tzu-Chieh Wei , Paul M. Goldbart

Reduced density matrices are a powerful tool in the analysis of entanglement structure, approximate or coarse-grained dynamics, decoherence, and the emergence of classicality. It is straightforward to produce a reduced density matrix with…

量子物理 · 物理学 2020-03-09 Oleg Kabernik , Jason Pollack , Ashmeet Singh

Quantum coherence characterizes the non-classical feature of a single party system with respect to a local basis. Based on a recently introduced resource framework, coherence can be regarded as a resource and be systematically manipulated…

量子物理 · 物理学 2018-09-26 Yunchao Liu , Qi Zhao , Xiao Yuan

Recently, a technique known as quantum symmetry test has gained increasing attention for detecting bipartite entanglement in pure quantum states. In this work we show that, beyond qualitative detection, a family of well-defined measures of…

量子物理 · 物理学 2025-11-12 Xiaoyu Liu , Jordi Tura , Albert Rico

We present the modified relative entropy of entanglement (MRE) in order to both improve the computability for the relative entropy of entanglement and avoid the problem that the entanglement of formation seems to be greater than…

量子物理 · 物理学 2007-05-23 An Min Wang

We propose to quantify the entanglement of pure states of $N \times N$ bipartite quantum system by defining its Husimi distribution with respect to $SU(N)\times SU(N)$ coherent states. The Wehrl entropy is minimal if and only if the pure…

量子物理 · 物理学 2009-11-10 Florian Mintert , Karol Zyczkowski

We introduce a composition of quantum states of a bipartite system which is based on the reshuffling of density matrices. This non-Abelian product is associative and stems from the composition of quantum maps acting on a simple quantum…

量子物理 · 物理学 2009-11-13 Wojciech Roga , Mark Fannes , Karol Zyczkowski
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