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A bottleneck for analyzing the interplay between magic and entanglement is the computation of these quantities in highly entangled quantum many-body magic states. Efficient extraction of entanglement can also inform our understanding of…

Quantum Physics · Physics 2025-10-09 ChunJun Cao , Gong Cheng , Tianci Zhou

Entanglement of a macroscopic system with a microscopic one is shown to begin by a topological property of histories in the Feynman formulation of quantum mechanics. This property can also be expressed algebraically on the Schr\"odinger…

Quantum Physics · Physics 2012-12-04 Roland Omnès

Entanglement is a holistic property of multipartite quantum systems, which is accompanied by the establishment of nonclassical correlations between subsystems. Most entanglement mechanisms can be described by a coherent interaction…

Quantum Physics · Physics 2022-11-23 Zhi-Bo Yang , Yi-Pu Wang , Jie Li , C. -M. Hu , J. Q. You

We study the bipartite von Neumann entanglement entropy and matrix elements of local operators in the eigenstates of an interacting integrable Hamiltonian (the paradigmatic spin-1/2 XXZ chain), and we contrast their behavior with that of…

Statistical Mechanics · Physics 2020-01-01 Tyler LeBlond , Krishnanand Mallayya , Lev Vidmar , Marcos Rigol

Entanglement is a hallmark of quantum theory, yet it alone does not capture the full extent of quantum complexity: some highly entangled states can still be classically simulated. Non-classical behavior also requires magic, the non-Clifford…

High Energy Physics - Theory · Physics 2026-05-29 Claudia Núñez , Miguel Pardina , Manuel Asorey , José Ignacio Latorre , Alba Cervera-Lierta

The entanglement entropy of a distinguished region of a quantum many-body system reflects the entanglement present in its pure ground state. In this work, we establish scaling laws for this entanglement for critical quasi-free fermionic and…

Quantum Physics · Physics 2014-11-11 M. Cramer , J. Eisert , M. B. Plenio

Entanglement is unanimously recognized as the key communication resource of the Quantum Internet. Yet, the possibility of implementing novel network functionalities by exploiting the marvels of entanglement has been poorly investigated so…

Quantum Physics · Physics 2026-01-30 Si-Yi Chen , Jessica Illiano , Angela Sara Cacciapuoti , Marcello Caleffi

A summary of number structure scaling is followed by a description of the effects of number scaling in nonrelativistic quantum mechanics. The description extends earlier work to include the effects on the states of two or more interacting…

Quantum Physics · Physics 2017-12-05 Paul Benioff

Entanglement is a central and subtle feature of quantum theory, whose structure and operational behavior can change dramatically when additional physical constraints, such as symmetries or superselection rules, are imposed. Such constraints…

Quantum Physics · Physics 2026-02-19 Roberto D. Baldijão , Marco Erba , David Schmid , John H. Selby , Ana Belén Sainz

It is well known that measurements performed on spatially separated entangled quantum systems can give rise to correlations that are non-local, in the sense that a Bell inequality is violated. They cannot, however, be used for super-luminal…

Quantum Physics · Physics 2007-10-22 Jonathan Barrett , Noah Linden , Serge Massar , Stefano Pironio , Sandu Popescu , David Roberts

Characterizing the entanglement of matrix degrees of freedom is essential for understanding the holographic emergence of spacetime. The Quantum Hall Matrix Model is a gauged $U(N)$ matrix quantum mechanics with two matrices whose ground…

High Energy Physics - Theory · Physics 2022-06-08 Alexander Frenkel , Sean A. Hartnoll

Notions of nonstabilizerness, or "magic", quantify how non-classical quantum states are in a precise sense: states exhibiting low nonstabilizerness preclude quantum advantage. We introduce 'pseudomagic' ensembles of quantum states that,…

Quantum Physics · Physics 2024-05-31 Andi Gu , Lorenzo Leone , Soumik Ghosh , Jens Eisert , Susanne Yelin , Yihui Quek

We study the scaling of logarithmic negativity between adjacent subsystems in critical fermion chains with various inhomogeneous modulations through numerically calculating its recently established lower and upper bounds. For random…

Disordered Systems and Neural Networks · Physics 2020-08-19 Gergő Roósz , Zoltán Zimborás , Róbert Juhász

Prepare-and-measure scenarios, in their many forms, can be seen as the basic building blocks of communication tasks. As such, they can be used to analyze a diversity of classical and quantum protocols -- of which dense coding and random…

Quantum Physics · Physics 2024-01-23 Carlos Vieira , Carlos de Gois , Lucas Pollyceno , Rafael Rabelo

We study various aspects of capacity of entanglement in the squeezed states of a scalar field theory. This quantity is a quantum informational counterpart of heat capacity and characterizes the width of the eigenvalue spectrum of the…

High Energy Physics - Theory · Physics 2024-09-20 M. Reza Mohammadi Mozaffar

The advent of quantum technologies brought forward much attention to the theoretical characterization of the computational resources they provide. A method to quantify quantum resources is to use a class of functions called magic monotones…

Quantum Physics · Physics 2024-02-14 Arash Ahmadi , Eliska Greplova

Superselection rules severly constrain the operations which can be implemented on a distributed quantum system. While the restriction to local operations and classical communication gives rise to entanglement as a nonlocal resource,…

Quantum Physics · Physics 2009-11-10 Norbert Schuch , Frank Verstraete , J. Ignacio Cirac

Quantum resources, such as coherence, discord, and entanglement, play as a key role for demonstrating advantage in many computation and communication tasks. In order to find the nature behind these resources, tremendous efforts have been…

Quantum Physics · Physics 2019-02-27 Hongyi Zhou , Xiao Yuan , Xiongfeng Ma

The rapid growth of entanglement under unitary time evolution is the primary bottleneck for modern tensor-network techniques--such as Matrix Product States (MPS)--when computing time-dependent expectation values. This {entanglement barrier}…

Quantum Physics · Physics 2025-06-10 Stefano Carignano , Guglielmo Lami , Jacopo De Nardis , Luca Tagliacozzo

Quantum entanglement is widely recognized as one of the key resources for the advantages of quantum information processing, including universal quantum computation, reduction of communication complexity or secret key distribution. However,…