Graph states and local unitary transformations beyond local Clifford operations

DOI10.1088/1751-8121/aa67cdzbMath1366.81108arXiv1611.06938OpenAlexW3102873204MaRDI QIDQ5269497

Otfried Gühne, Nikoloz Tsimakuridze

Publication date: 16 June 2017

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

Full work available at URL: https://arxiv.org/abs/1611.06938

zbMATH Keywords

quantum information theorygraph statesClifford operations

Mathematics Subject Classification ID

Hypergraphs (05C65) Quantum computation (81P68) Quantum measurement theory, state operations, state preparations (81P15) Clifford algebras, spinors (15A66) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (6)

Improving the implementation of quantum blockchain based on hypergraphs ⋮ Symmetric hypergraph states: entanglement quantification and robust Bell nonlocality ⋮ Evaluation of entanglement measures for hypergraph states up to four qubits ⋮ Shor–Laflamme distributions of graph states and noise robustness of entanglement ⋮ Local Pauli stabilizers of symmetric hypergraph states ⋮ Some Ulam’s reconstruction problems for quantum states

Cites Work

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• Entanglement in eight-qubit graph states
• Entanglement and nonclassical properties of hypergraph states
• Locally inequivalent four-qubit hypergraph states
• Local unitary versus local Clifford equivalence of stabilizer states
• Multiparty entanglement in graph states
• Quantum hypergraph states
• Local unitary symmetries of hypergraph states

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