scholarly journals Holonomic quantum computing in symmetry-protected ground states of spin chains

2013 ◽  
Vol 15 (2) ◽  
pp. 025020 ◽  
Author(s):  
Joseph M Renes ◽  
Akimasa Miyake ◽  
Gavin K Brennen ◽  
Stephen D Bartlett
Keyword(s):  
Quantum Computing ◽  
Ground States ◽  
Spin Chains ◽  
Symmetry Protected

scholarly journals q-DEFORMATIONS OF QUANTUM SPIN CHAINS WITH EXACT VALENCE-BOND GROUND STATES

1994 ◽  
Vol 08 (25n26) ◽  
pp. 3645-3654 ◽  
Author(s):  
M.T. BATCHELOR ◽  
C.M. YUNG
Keyword(s):  
Condensed Matter ◽  
Valence Bond ◽  
Ground States ◽  
Quantum Spin ◽  
Total Spin ◽  
Spin Chains ◽  
The Other ◽  
Condensed Matter Physics ◽  
Spin States ◽  
Quantum Spin Chains

Quantum spin chains with exact valence-bond ground states are of great interest in condensed-matter physics. A class of such models was proposed by Affleck et al., each of which is su(2)-invariant and constructed as a sum of projectors onto definite total spin states at neighboring sites. We propose to use the machinery of the q-deformation of su(2) to obtain generalisations of such models, and work out explicitly the two simplest examples. In one case we recover the known anisotropic spin-1 VBS model while in the other we obtain a new anisotropic generalisation of the spin-½ Majumdar-Ghosh model.

scholarly journals Symmetry protected phases in inhomogeneous spin chains

2019 ◽  
Vol 2019 (9) ◽  
pp. 093102 ◽  
Author(s):  
Nadir Samos Sáenz de Buruaga ◽  
Silvia N Santalla ◽  
Javier Rodríguez-Laguna ◽  
Germán Sierra
Keyword(s):  
Spin Chains ◽  
Inhomogeneous Spin ◽  
Symmetry Protected

Symmetry-protected intermediate trivial phases in quantum spin chains

2016 ◽  
Vol 93 (24) ◽  
Author(s):  
Augustine Kshetrimayum ◽  
Hong-Hao Tu ◽  
Román Orús
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Symmetry Protected

Exact Antiferromagnetic Ground States of Quantum Spin Chains

1989 ◽  
Vol 10 (7) ◽  
pp. 633-637 ◽  
Author(s):  
M Fannes ◽  
B Nachtergaele ◽  
R. F Werner
Keyword(s):  
Ground States ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains

scholarly journals MEASUREMENT-BASED QUANTUM COMPUTING WITH VALENCE-BOND-SOLIDS

2012 ◽  
Vol 26 (02) ◽  
pp. 1230002 ◽  
Author(s):  
LEONG CHUAN KWEK ◽  
ZHAOHUI WEI ◽  
BEI ZENG
Keyword(s):  
Quantum Computing ◽  
Information Science ◽  
Valence Bond ◽  
Ground States ◽  
Research Area ◽  
Many Body ◽  
Cluster States ◽  
Valence Bond Solid ◽  
Alternative Resource ◽  
Sequential Measurements

Measurement-based quantum computing (MBQC) is a model of quantum computing that proceeds by sequential measurements of individual spins in an entangled resource state. However, it remains a challenge to produce efficiently such resource states. Would it be possible to generate these states by simply cooling a quantum many-body system to its ground state? Cluster states, the canonical resource states for MBQC, do not occur naturally as unique ground states of physical systems. This inherent hurdle has led to a significant effort to identify alternative resource states that appear as ground states in spin lattices. Recently, some interesting candidates have been identified with various valence-bond-solid (VBS) states. In this review, we provide a pedagogical introduction to recent progress regarding MBQC with VBS states as possible resource states. This study has led to an interesting interdisciplinary research area at the interface of quantum information science and condensed matter physics.

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