Classical spin systems and the quantum stabilizer formalism: General mappings and applications

DOI10.1063/1.3190486zbMath1298.82009arXiv0812.2127OpenAlexW2594258589WikidataQ62381976 ScholiaQ62381976MaRDI QIDQ3069182

Hans J. Briegel, Wolfgang Dür, Maarten Van den Nest, R. Hübener

Publication date: 24 January 2011

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.2127

zbMATH Keywords

Ising modelPotts modelquantum entanglementquantum computingmeasurement theoryclassical mechanics

Mathematics Subject Classification ID

Applications of graph theory (05C90) Quantum computation (81P68) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (3)

Topological color codes and two-body quantum lattice Hamiltonians ⋮ Completeness of classical spin models and universal quantum computation ⋮ TESTING EQUIVALENCE OF PURE QUANTUM STATES AND GRAPH STATES UNDER SLOCC

Cites Work

• Graph minors. III. Planar tree-width
• Matroid tree-width
• Cluster-state quantum computation
• On the exact evaluation of certain instances of the Potts partition function by quantum computers
• Fault-tolerant quantum computation by anyons
• Stabilizer states and Clifford operations for systems of arbitrary dimensions and modular arithmetic
• Multiparty entanglement in graph states
• Simulating Quantum Computation by Contracting Tensor Networks

This page was built for publication: Classical spin systems and the quantum stabilizer formalism: General mappings and applications