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The phase transition between gapped topological phases represents a class of unconventional criticality beyond the Landau paradigm. However, recent research has shifted attention to topological phases without a bulk gap, where the phase…

Strongly Correlated Electrons · Physics 2024-07-03 Hao-Long Zhang , Han-Ze Li , Sheng Yang , Xue-Jia Yu

We define an ensemble of random Clifford quantum circuits whose output state undergoes an entanglement phase transition between two volume-law phases as a function of measurement rate. Our setup maps exactly the output state to the ground…

Disordered Systems and Neural Networks · Physics 2022-12-06 Jeremy Côté , Stefanos Kourtis

The determination of the state fidelity and the detection of entanglement are fundamental problems in quantum information experiments. We investigate how these goals can be achieved with a minimal effort. We show that the fidelity of GHZ…

Quantum Physics · Physics 2008-09-27 Otfried Gühne , Chao-Yang Lu , Wei-Bo Gao , Jian-Wei Pan

We investigate the scaling and spatial distribution of genuine multiparticle entanglement in three- and four-spin reduced states of the one-dimensional XY-model at the quantum phase transition. We observe a logarithmic divergence and show…

Quantum Physics · Physics 2014-05-01 Martin Hofmann , Andreas Osterloh , Otfried Gühne

A microscopic calculation of ground state entanglement for the XY and Heisenberg models shows the emergence of universal scaling behavior at quantum phase transitions. Entanglement is thus controlled by conformal symmetry. Away from the…

Quantum Physics · Physics 2007-05-23 J. I. Latorre , E. Rico , G. Vidal

We explore a roughening phase transition that occurs in the entanglement dynamics of certain quantum circuits. Viewing entanglement as the free energy of a membrane in a circuit-defined random environment, there is a competition between…

Quantum Physics · Physics 2025-12-23 Hyunsoo Ha , David A. Huse , Grace M. Sommers

Entanglement is a crucial resource for quantum information processing, and so protocols to generate high fidelity entangled states on various hardware platforms are in demand. While spin chains have been extensively studied to generate…

Quantum Physics · Physics 2021-01-05 Jan Riegelmeyer , Dan Wignall , Marta P. Estarellas , Irene D'Amico , Timothy P. Spiller

Entanglement within qubits are studied for the subspace of definite particle states or definite number of up spins. A transition from an algebraic decay of entanglement within two qubits with the total number $N$ of qubits, to an…

Quantum Physics · Physics 2012-02-20 Vikram S Vijayaraghavan , Udaysinh T. Bhosale , Arul Lakshminarayan

We study a quantum phase transition between a phase which is topologically ordered and one which is not. We focus on a spin model, an extension of the toric code, for which we obtain the exact ground state for all values of the coupling…

Strongly Correlated Electrons · Physics 2009-09-29 C. Castelnovo , C. Chamon

We revisit the fidelity as a measure for the stability and the complexity of the quantum motion of single and many-body systems. Within the context of cold atoms, we present on overview of applications of two fidelities which we call static…

Quantum Gases · Physics 2016-05-23 Sandro Wimberger

We introduce the operator fidelity and propose to use its susceptibility for characterizing the sensitivity of quantum systems to perturbations. Two typical models are addressed: one is the transverse Ising model exhibiting a quantum phase…

Quantum Physics · Physics 2009-11-13 Xiaoguang Wang , Zhe Sun , Z. D. Wang

An efficient algorithm is developed for quantum spin tubes in the context of the tensor network representations. It allows to efficiently compute the ground-state fidelity per lattice site, which in turn enables us to identify quantum…

Statistical Mechanics · Physics 2011-05-17 Ai-Min Chen , Qian-Qian Shi , Jin-Hua Liu , Huan-Qiang Zhou

We study slightly generalized quantum fidelity susceptibilities where the differential change in the fidelity is measured with respect to a different term than the one used for driving the system towards a quantum phase transition. As a…

Strongly Correlated Electrons · Physics 2013-04-30 Mischa Thesberg , Erik Sorensen

We study the behavior of bipartite entanglement at fixed von Neumann entropy. We look at the distribution of the entanglement spectrum, that is the eigenvalues of the reduced density matrix of a quantum system in a pure state. We report the…

Quantum Physics · Physics 2013-05-29 Paolo Facchi , Giuseppe Florio , Giorgio Parisi , Saverio Pascazio , Kazuya Yuasa

A generalized version of the fidelity susceptibility of single-band and multi-orbital Hubbard models is systematically studied using single-site dynamical mean-field theory in combination with a hybridization expansion continuous-time…

Strongly Correlated Electrons · Physics 2016-12-08 Li Huang , Yilin Wang , Lei Wang , Philipp Werner

Entanglement is one of the physical properties of quantum systems responsible for the computational hardness of simulating quantum systems. But while the runtime of specific algorithms, notably tensor network algorithms, explicitly depends…

In this paper we study the conjectural relation between confinement in a quantum field theory and the presence of a phase transition in its corresponding entanglement entropy. We determine the sufficient conditions for the latter and…

High Energy Physics - Theory · Physics 2015-06-19 Uri Kol , Carlos Nunez , Daniel Schofield , Jacob Sonnenschein , Michael Warschawski

We investigate an approach to universal quantum computation based on the modulation of longitudinal qubit-oscillator coupling. We show how to realize a controlled-phase gate by simultaneously modulating the longitudinal coupling of two…

Quantum Physics · Physics 2017-05-15 Baptiste Royer , Arne L. Grimsmo , Nicolas Didier , Alexandre Blais

We study the reduced fidelity between local states of lattice systems exhibiting topological order. By exploiting mappings to spin models with classical order, we are able to analytically extract the scaling behavior of the reduced fidelity…

Strongly Correlated Electrons · Physics 2009-06-11 Erik Eriksson , Henrik Johannesson

We review some of the recent progress on the study of entropy of entanglement in many-body quantum systems. Emphasis is placed on the scaling properties of entropy for one-dimensional multi-partite models at quantum phase transitions and,…

Statistical Mechanics · Physics 2015-05-13 J. I. Latorre , A. Riera