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We investigate the behavior of genuine multiparticle entanglement, as quantified by the generalized geometric measure, in gapless-to-gapped quantum transitions of one- and two-dimensional quantum spin models. The investigations are…

量子物理 · 物理学 2014-09-09 Anindya Biswas , R. Prabhu , Aditi Sen De , Ujjwal Sen

We employ a genuine multipartite entanglement measure, the generalized geometric measure, for investigating the quantum phase transition in an infinite quantum spin-1/2 chain with two-spin as well as three-spin interactions. We show that in…

量子物理 · 物理学 2012-09-10 Manabendra N. Bera , R. Prabhu , Aditi Sen De , Ujjwal Sen

Multiparty quantum states are useful for a variety of quantum information and computation protocols. We define a multiparty entanglement measure based on local measurements on a multiparty quantum state, and an entanglement measure averaged…

Geometric entanglement(GE), as a measure of multipartite entanglement, has been investigated as a universal tool to detect phase transitions in quantum many-body lattice models. We outline a systematic method to compute GE for…

强关联电子 · 物理学 2019-09-06 Qian-Qian Shi , Hong-Lei Wang , Sheng-Hao Li , Sam Young Cho , Murray T. Batchelor , Huan-Qiang Zhou

We demonstrate that the Global Entanglement (GE) measure defined by Meyer and Wallach, J. Math. Phys. 43, 4273 (2002), is maximal at the critical point for the Ising chain in a transverse magnetic field. Our analysis is based on the…

量子物理 · 物理学 2009-11-11 Thiago R. de Oliveira , Gustavo Rigolin , Marcos C. de Oliveira

The geometric entanglement per lattice site, as a holistic measure of the multipartite entanglement, serves as a universal marker to detect quantum phase transitions in quantum many-body systems. However, it is very difficult to compute the…

统计力学 · 物理学 2011-06-13 Hong-Lei Wang , Qian-Qian Shi , Sheng-Hao Li , Huan-Qiang Zhou

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 is explored for bi-partite and multi-partite pure and mixed states.…

量子物理 · 物理学 2009-05-18 Tzu-Chieh Wei

Computing entanglement of an arbitrary bipartite or multipartite mixed state is in general not an easy task as it usually involves complex optimization. Here we show that exploiting symmetries of certain mixed states, we can compute a…

量子物理 · 物理学 2016-08-31 Tamoghna Das , Sudipto Singha Roy , Shrobona Bagchi , Avijit Misra , Aditi Sen De , Ujjwal Sen

We show a general approach for detecting genuine multipartite entanglement (GME) and partial inseparability in many-body-systems by means of macroscopic observables (such as the energy) only. We show that the obtained criteria, the "GME…

量子物理 · 物理学 2013-03-04 Andreas Gabriel , Beatrix C. Hiesmayr

Multi-qubit graph states generated by the action of controlled phase shift operators on a separable quantum state of a system, in which all the qubits are in arbitrary identical states, are examined. The geometric measure of entanglement of…

量子物理 · 物理学 2022-03-11 Kh. P. Gnatenko , N. A. Susulovska

We investigate a class of one-dimensional, exactly solvable anisotropic XY spin-1/2 models in an alternating transverse magnetic field from an entanglement perspective. We find that a physically motivated Lie-algebraic generalized…

统计力学 · 物理学 2017-08-23 Shusa Deng , Gerardo Ortiz , Lorenza Viola

In this paper, we investigate a genuine multipartite entanglement measure based on the geometric method. This measure arrives at the maximal value for the absolutely maximally entangled states and has desirable properties for quantifying…

量子物理 · 物理学 2022-06-07 Xian Shi

In this paper we consider the quantum phase transition in the Ising model in the presence of a transverse field in one, two and three dimensions from a multi-partite entanglement point of view. Using \emph{exact} numerical solutions, we are…

量子物理 · 物理学 2010-12-21 Afshin Montakhab , Ali Asadian

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

Detecting genuine multipartite entanglement (GME) is a state-characterization task that benchmarks coherence and experimental control in quantum systems. Existing GME tests often require joint measurements on many qubits, posing challenges…

量子物理 · 物理学 2026-02-18 Nicky Kai Hong Li , Xi Dai , Manuel H. Muñoz-Arias , Kevin Reuer , Marcus Huber , Nicolai Friis

Mutually unbiased bases, mutually unbiased measurements and general symmetric informationally complete measurements are three related concepts in quantum information theory. We investigate multipartite systems using these notions and…

量子物理 · 物理学 2018-02-27 Lu Liu , Ting Gao , Fengli Yan

Measurement-based quantum correlation mimics several characteristics of multipartite quantum correlations and at the same time, it reduces the parent system to a smaller subsystem. On the other hand, genuine multipartite entanglement…

量子物理 · 物理学 2021-03-19 Ratul Banerjee , Saptarshi Roy , Tamoghna Das , Aditi Sen De

We investigate parameterized multipartite entanglement measures from the perspective of $k$-nonseparability in this paper. We present two types of entanglement measures in $n$-partite systems, $q$-$k$-ME concurrence $(q\geq2,~2\leq k\leq…

量子物理 · 物理学 2025-03-26 Hui Li , Ting Gao , Fengli Yan

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

Characterizing and quantifying quantum correlations in states of many-particle systems is at the core of a full understanding of phase transitions in matter. In this work, we continue our investigation of the notion of generalized…

量子物理 · 物理学 2009-11-10 Rolando Somma , Gerardo Ortiz , Howard Barnum , Emanuel Knill , Lorenza Viola
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