Mapping local Hamiltonians of fermions to local Hamiltonians of spins

DOI10.1088/1742-5468/2005/09/P09012zbMath1456.82200arXivcond-mat/0508353OpenAlexW3099874397WikidataQ59458752 ScholiaQ59458752MaRDI QIDQ4968884

J. Ignacio Cirac, Frank Verstraete

Publication date: 9 July 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0508353

zbMATH Keywords

spin chainsrigorous results in statistical mechanicsladders and planes (theory)density matrix renormalization group calculationHubbard model (theory)

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (11)

Variational quantum eigensolver for SU(N) fermions ⋮ Bosonization based on Clifford algebras and its gauge theoretic interpretation ⋮ Dequantizing the Quantum singular value transformation: hardness and applications to Quantum chemistry and the Quantum PCP conjecture ⋮ On sampling determinantal and Pfaffian point processes on a quantum computer ⋮ Quantum spins on star graphs and the Kondo model ⋮ Majorana fermion codes ⋮ Connecting global and local energy distributions in quantum spin models on a lattice ⋮ Quantum Algorithm for Simulating Real Time Evolution of Lattice Hamiltonians ⋮ Free fermions behind the disguise ⋮ The variational quantum eigensolver: a review of methods and best practices ⋮ Quantum Algorithm for Simulating Real Time Evolution of Lattice Hamiltonians

Cites Work

• Fermionic quantum computation
• An introduction to quantum order, string-net condensation, and emergence of light and fermions
• Fault-tolerant quantum computation by anyons
• Geometric and renormalized entropy in conformal field theory
• Ground state entanglement and geometric entropy in the Kitaev model
• Entropy and area

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