Symmetry protection of measurement-based quantum computation in ground states

DOI10.1088/1367-2630/14/11/113016zbMath1448.81233arXiv1207.4805OpenAlexW3105202962WikidataQ59437197 ScholiaQ59437197MaRDI QIDQ5137780

Dominic V. Else, Andrew C. Doherty, Stephen D. Bartlett

Publication date: 2 December 2020

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

Full work available at URL: https://arxiv.org/abs/1207.4805

Mathematics Subject Classification ID

Quantum computation (81P68) Symmetry breaking in quantum theory (81R40) Supersymmetry and quantum mechanics (81Q60)

Related Items (5)

Hierarchies of resources for measurement-based quantum computation ⋮ Symmetry-protected adiabatic quantum transistors ⋮ Generalized cluster states based on finite groups ⋮ Generalized graph states based on Hadamard matrices ⋮ Inaccessible entanglement in symmetry protected topological phases

Cites Work

• Quantum computational capability of a 2D valence bond solid phase
• PEPS as ground states: degeneracy and topology
• Lieb-Robinson bounds and the exponential clustering theorem
• Finitely correlated states on quantum spin chains
• Hidden symmetry breaking and the Haldane phase in \(S=1\) quantum spin chains
• Finitely correlated pure states
• Localizable entanglement
• PEPS as unique ground states of local Hamiltonians
• An area law for one-dimensional quantum systems
• Topological quantum order: Stability under local perturbations
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