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Absolutely maximally entangled (AME) states of multipartite quantum systems exhibit maximal entanglement across all possible bipartitions. These states lead to teleportation protocols that surpass standard teleportation schemes, determine…

Understanding the collective behavior of a quantum many-body system, a system composed of a large number of interacting microscopic degrees of freedom, is a key aspect in many areas of contemporary physics. However, as a direct consequence…

Quantum Physics · Physics 2011-09-27 Glen Evenbly

We study 't Hooft anomalies of discrete groups in the framework of (1+1)-dimensional multiscale entanglement renormalization ansatz states on the lattice. Using matrix product operators, general topological restrictions on conformal data…

Quantum Physics · Physics 2017-09-07 Jacob C. Bridgeman , Dominic J. Williamson

In short-range interacting systems, the speed at which entanglement can be established between two separated points is limited by a constant Lieb-Robinson velocity. Long-range interacting systems are capable of faster entanglement…

In this paper, we introduce a tensor network (TN) scheme into the entanglement augmentation process of the synergistic optimization framework by Rudolph et al. [arXiv:2208.13673] to build its process systematically for inhomogeneous…

Quantum Physics · Physics 2024-06-14 Ryo Watanabe , Keisuke Fujii , Hiroshi Ueda

Noisy intermediate-scale quantum (NISQ) hardware is typically limited to low-depth quantum circuits to limit the number of opportunities for introduction of error by unreliable quantum gates. A less-explored alternative approach is to…

Quantum Physics · Physics 2021-09-22 Troy J. Sewell , Stephen P. Jordan

We study the topological entanglement entropy and scalar chirality of a topologically ordered skyrmion formed in a two-dimensional triangular lattice. Scalar chirality remains a smooth function of the magnetic field in both helical and…

Strongly Correlated Electrons · Physics 2023-11-08 Vipin Vijayan , L. Chotorlishvili , A. Ernst , S. S. P. Parkin , M. I. Katsnelson , S. K. Mishra

A method to study strongly interacting quantum many-body systems at and away from criticality is proposed. The method is based on a MERA-like tensor network that can be efficiently and reliably contracted on a noisy quantum computer using a…

Quantum Physics · Physics 2017-11-22 Isaac H. Kim , Brian Swingle

Topological chiral phases are ubiquitous in the physics of the Fractional Quantum Hall Effect. Non-chiral topological spin liquids are also well known. Here, using the framework of projected entangled pair states (PEPS), we construct a…

Strongly Correlated Electrons · Physics 2015-07-10 Didier Poilblanc , J. Ignacio Cirac , Norbert Schuch

We propose tunable chiral bound states in a system composed of superconducting giant atoms and a Josephson photonic-crystal waveguide (PCW), with no analog in other quantum setups. The chiral bound states arise due to interference in the…

Quantum Physics · Physics 2021-02-08 Xin Wang , Tao Liu , Anton Frisk Kockum , Hong-Rong Li , Franco Nori

The Multi-scale Entanglement Renormalization Ansatz (MERA) is a tensor network that provides an efficient way of variationally estimating the ground state of a critical quantum system. The network geometry resembles a discretization of…

High Energy Physics - Theory · Physics 2015-07-03 Ning Bao , ChunJun Cao , Sean M. Carroll , Aidan Chatwin-Davies , Nicholas Hunter-Jones , Jason Pollack , Grant N. Remmen

Topological quantum states cannot be created from product states with local quantum circuits of constant depth and are in this sense more entangled than topologically trivial states, but how entangled are they? Here we quantify the…

Quantum Physics · Physics 2015-05-27 Yichen Huang , Xie Chen

The quantum chiral anomaly enables a nearly dissipationless current in the presence of chirality imbalance and magnetic field -- this is the Chiral Magnetic Effect (CME), observed recently in Dirac and Weyl semimetals. Here we propose to…

Quantum Physics · Physics 2019-03-19 Dmitri E. Kharzeev , Qiang Li

Interacting systems of anyons pose a unique challenge to condensed matter simulations due to their non-trivial exchange statistics. These systems are of great interest as they have the potential for robust universal quantum computation, but…

Strongly Correlated Electrons · Physics 2010-10-01 Robert N. C. Pfeifer , Philippe Corboz , Oliver Buerschaper , Miguel Aguado , Matthias Troyer , Guifre Vidal

We introduce a class of variational states to describe quantum many-body systems. This class generalizes matrix product states which underly the density-matrix renormalization group approach by combining them with weighted graph states.…

Quantum Physics · Physics 2009-11-13 R. Hübener , C. Kruszynska , L. Hartmann , W. Dür , F. Verstraete , J. Eisert , M. B. Plenio

Topological properties of quantum systems are one of the most intriguing emerging phenomena in condensed matter physics. A crucial property of topological systems is the symmetry-protected robustness towards local noise. Experiments have…

Quantum Physics · Physics 2022-12-05 Guliuxin Jin , Eliska Greplova

In the framework of the holographic principle, focusing on a central concept, conditional mutual information, we construct a class of coarse-grained states, which are intuitively connected to a family of thread configurations. These…

High Energy Physics - Theory · Physics 2023-12-25 Yi-Yu Lin , Jun Zhang

We propose algorithms, based on the multi-scale entanglement renormalization ansatz, to obtain the ground state of quantum critical systems in the presence of boundaries, impurities, or interfaces. By exploiting the theory of minimal…

Quantum Physics · Physics 2014-10-21 Glen Evenbly , Guifre Vidal

We propose a protocol restoring the state transferred along the spin chain governed by the XY-Hamiltonian. Such dynamics does not preserve the excitation number and leads to mixing multiple-quantum coherence matrices of orders having the…

Quantum Physics · Physics 2025-04-23 N. A. Tashkeev , A. I. Zenchuk

As quantum technologies develop, we acquire control of an ever-growing number of quantum systems. Unfortunately, current tools to detect relevant quantum properties of quantum states, such as entanglement and Bell nonlocality, suffer from…

Quantum Physics · Physics 2020-07-01 Miguel Navascues , Sukhbinder Singh , Antonio Acin
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