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We develop a quantum spin liquid theory for quantum magnets with easy-plane ferromagnetic exchange. These strongly entangled quantum states are obtained by dimer coverings of 2D lattices with triplet $S = 1, m_z = 0$ bonds, forming a…

强关联电子 · 物理学 2022-02-23 Elio J. König , Yashar Komijani , Piers Coleman

We show that genuine multipartite entanglement of all multipartite pure states in arbitrary finite dimension can be detected in a device-independent way by employing bipartite Bell inequalities on states that are deterministically generated…

量子物理 · 物理学 2019-02-20 M. Zwerger , W. Dür , J. -D. Bancal , P. Sekatski

Single-spin measurements on the ground state of an interacting spin lattice can be used to perform a quantum computation. We show how such measurements can mimic renormalization group transformations and remove the short-ranged variations…

量子物理 · 物理学 2014-11-20 Stephen D. Bartlett , Gavin K. Brennen , Akimasa Miyake , Joseph M. Renes

Measurement-based quantum computation (MBQC) is a strong contender for realizing quantum computers. A critical question for MBQC is the identification of resource graph states that can enable universal quantum computation. Any such…

量子物理 · 物理学 2026-05-19 Brent Harrison , Vishnu Iyer , Ojas Parekh , Kevin Thompson , Andrew Zhao

We study the entanglement properties of a higher-integer-spin Affleck-Kennedy-Lieb-Tasaki model with quantum group symmetry in the periodic boundary condition. We exactly calculate the finite size correction terms of the entanglement…

统计力学 · 物理学 2012-10-30 Chikashi Arita , Kohei Motegi

This article reviews the quantum entanglement in Valence-Bond-Solid (VBS) states defined on a lattice or a graph. The subject is presented in a self-contained and pedagogical way. The VBS state was first introduced in the celebrated paper…

量子物理 · 物理学 2015-03-13 Vladimir E. Korepin , Ying Xu

We study entanglement in Valence-Bond-Solid state. It describes the ground state of Affleck, Kennedy, Lieb and Tasaki quantum spin chain. The AKLT model has a gap and open boundary conditions. We calculate an entropy of a subsystem…

量子物理 · 物理学 2009-11-10 Heng Fan , Vladimir Korepin , Vwani Roychowdhury

The AKLT spin chain is the prototypical example of a frustration-free quantum spin system with a spectral gap above its ground state. Affleck, Kennedy, Lieb, and Tasaki also conjectured that the two-dimensional version of their model on the…

数学物理 · 物理学 2020-01-29 Houssam Abdul-Rahman , Marius Lemm , Angelo Lucia , Bruno Nachtergaele , Amanda Young

We study quantum entanglement in the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model defined on two-dimensional graphs with reflection and/or inversion symmetry. The ground state of this spin model is known as the…

量子物理 · 物理学 2010-06-01 Hosho Katsura , Naoki Kawashima , Anatol N. Kirillov , Vladimir E. Korepin , Shu Tanaka

We explore the potential application of quantum computers to the examination of lattice holography, which extends to the strongly-coupled bulk theory regime. With adiabatic evolution, we compute the ground state of a spin system on a…

高能物理 - 格点 · 物理学 2023-12-19 Ying-Ying Li , Muhammad Omer Sajid , Judah Unmuth-Yockey

Measurement-based quantum computing (MBQC) is a model of quantum computation where quantum information is coherently processed by means of projective measurements on highly entangled states. Following the introduction of MBQC, cluster…

量子物理 · 物理学 2016-10-13 Atul Mantri , Tommaso F. Demarie , Joseph F. Fitzsimons

Measurement-based quantum computation is different from other approaches for quantum computation, in that everything needs to be done is only local measurement on a certain entangled state. It thus uses entanglement as the resource that…

量子物理 · 物理学 2021-09-22 Tzu-Chieh Wei

We propose and study a specific adiabatic path to prepare those tensor network states that are unique ground states of few-body parent Hamiltonians in finite lattices, which include normal tensor network states, as well as other relevant…

量子物理 · 物理学 2023-09-12 Zhi-Yuan Wei , Daniel Malz , J. Ignacio Cirac

Quantum state preparation plays a crucial role in several areas of quantum information science, in applications such as quantum simulation, quantum metrology and quantum computing. However, typically state preparation requires resources…

量子物理 · 物理学 2024-12-11 Tianqi Chen , Tim Byrnes

Matrix Product States (MPS) and Tensor Networks provide a general framework for the construction of solvable models. The best-known example is the Affleck-Kennedy-Lieb-Tasaki (AKLT) model, which is the ground state of a 2-body…

量子物理 · 物理学 2025-09-17 Norbert Schuch , Andras Molnar , David Perez-Garcia

We show that the usefulness of the thermal state of a specific spin-lattice model for measurement-based quantum computing exhibits a transition between two distinct "phases" - one in which every state is a universal resource for quantum…

We study the angular-time evolution that is a parameter-time evolution defined by the entanglement Hamiltonian for the bipartitioned ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) chain with the open boundary. In particular, we…

统计力学 · 物理学 2022-10-13 Koutaro Nakajima , Kouichi Okunishi

The gapped symmetric phase of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model exhibits fractionalized spins at the ends of an open chain. We show that breaking SU(2) symmetry and applying a global spin-lowering dissipator achieves…

量子物理 · 物理学 2024-05-20 Christopher W. Wächtler , Joel E. Moore

Measurement-based quantum computation (MQC) is a paradigm for studying quantum computation using many-body entanglement and single-qubit measurements. While MQC has inspired wide-ranging discoveries throughout quantum information, our…

量子物理 · 物理学 2016-11-28 Jacob Miller , Akimasa Miyake

Recent experimental progress with Alkaline-Earth atoms has opened the door to quantum computing schemes in which qubits are encoded in long-lived nuclear spin states, and the metastable electronic states of these species are used for…

量子物理 · 物理学 2011-12-05 Andrew J Daley , Jun Ye , Peter Zoller