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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

We explore some basic entanglement features of multiqubit systems that are relevant for the development of algorithms for searching highly entangled states. In particular, we compare the behaviours of multiqubit entanglement measures based…

量子物理 · 物理学 2009-01-26 A. Borras , M. Casas , A. R. Plastino , A. Plastino

We examine the entanglement entropy of the even half of a translationally invariant finite chain or lattice in its ground state. This entropy measures the entanglement between the even and odd halves (each forming a "comb" of $n/2$ sites)…

量子物理 · 物理学 2011-04-26 Raul Rossignoli , Norma Canosa , Juan Mauricio Matera

We study the von Neumann entropy of the partial trace of a system of two two-level atoms (qubits) in a dispersive cavity where the atoms are interacting collectively with a single mode electromagnetic field in the cavity. We make a contrast…

量子物理 · 物理学 2021-10-01 Ram Narayan Deb

Using random matrix techniques and the theory of Matrix Product States we show that reduced density matrices of quantum spin chains have generically maximum entropy.

量子物理 · 物理学 2019-02-27 Benoit Collins , Carlos E. Gonzalez-Guillen , David Perez-Garcia

In this article, we present a novel approach to investigating entanglement in the context of quantum computing. Our methodology involves analyzing reduced density matrices at different stages of a quantum algorithm's execution and…

量子物理 · 物理学 2024-03-14 Ruge Lin

We present universal relations between entanglement entropy, which quantifies the quantum correlation between subsystems, and the elastic cross section, which is the primary observable for high energy particle scattering, by employing a…

高能物理 - 理论 · 物理学 2024-10-31 Ian Low , Zhewei Yin

The dynamics of quantum entanglement plays a central role in explaining the emergence of thermal equilibrium in isolated many-body systems. However, entanglement is notoriously hard to measure. Recent works have introduced a notion of…

量子物理 · 物理学 2025-03-20 Xiaozhou Feng , Matteo Ippoliti

A long-standing challenge in mixed quantum-classical trajectory simulations is the treatment of entanglement between the classical and quantal degrees of freedom. We present a novel approach which describes the emergence of entangled states…

化学物理 · 物理学 2024-07-18 Johan E. Runeson , Jeremy O. Richardson

The entanglement dynamics of spin chains is investigated using Heisenberg-XY spin Hamiltonian dynamics. The various measures of two-qubit entanglement are calculated analytically in the time-evolved state starting from initial states with…

量子物理 · 物理学 2009-11-10 V. Subrahmanyam , Arul Lakshminarayan

The entangling power of a unitary operator quantifies its ability to generate entanglement from product states and provides a natural probe of quantum many-body dynamics. Entanglement extremization at points of enhanced symmetry has…

量子物理 · 物理学 2026-05-21 Ian Low , Pallab Goswami

In quantum statistical mechanics, it is of fundamental interest to understand how close the bipartite entanglement entropy of eigenstates of quantum chaotic Hamiltonians is to maximal. For random pure states in the Hilbert space, the…

统计力学 · 物理学 2017-11-30 Lev Vidmar , Marcos Rigol

We derive universal entanglement entropy and Schmidt eigenvalue behaviors for the eigenstates of two quantum chaotic systems coupled with a weak interaction. The progression from a lack of entanglement in the noninteracting limit to the…

量子物理 · 物理学 2018-09-19 Steven Tomsovic , Arul Lakshminarayan , Shashi C. L. Srivastava , Arnd Bäcker

Entanglement plays a prominent role in the study of condensed matter many-body systems: Entanglement measures not only quantify the possible use of these systems in quantum information protocols, but also shed light on their physics.…

量子物理 · 物理学 2021-11-02 Shachar Fraenkel , Moshe Goldstein

In the past decades, quantum entanglement has been recognized to be the basic resource in quantum information theory. A fundamental need is then the understanding its qualification and its quantification: Is the quantum state entangled, and…

量子物理 · 物理学 2013-02-20 Szilárd Szalay

The {\em rainbow state} denotes a set of valence bond states organized concentrically around the center of a spin 1/2 chain. It is the ground state of an inhomogeneous XX Hamiltonian and presents maximal violation of the area law of…

Random spin chains at quantum critical points exhibit an entanglement entropy between a segment of length L and the rest of the chain that scales as log_2 L with a universal coefficient. Since for pure quantum critical spin chains this…

无序系统与神经网络 · 物理学 2009-11-13 Gil Refael , Joel E. Moore

We study entanglement creation between two independent XX chains, which are repeatedly coupled locally to spin-1/2 Bell pairs. We show analytically that in the steady state the entanglement of the Bell pairs is perfectly transferred to the…

量子物理 · 物理学 2015-04-29 Pierre Wendenbaum , Thierry Platini , Dragi Karevski

Entanglement depth characterizes the minimal number of particles in a system that are mutually entangled. For symmetric states, we show that there is a dichotomy for entanglement depth: an $N$-particle symmetric state is either fully…

量子物理 · 物理学 2016-11-02 Ji-Yao Chen , Zhengfeng Ji , Nengkun Yu , Bei Zeng

We numerically explore the interplay of fractal geometry and quantum entanglement by analyzing the von Neumann entropy (known as entanglement entropy) and the entanglement contour in the scaling limit. Adopting quadratic fermionic models on…

量子物理 · 物理学 2024-11-19 Yao Zhou , Peng Ye