Quantum computation by teleportation and symmetry
arXiv:1808.06103 · doi:10.1142/S0217979219300044
Abstract
A preliminary overview of measurement-based quantum computation in the setting of symmetry and topological phases of quantum matter is given. The underlying mechanism for universal quantum computation by teleportation or symmetry are analyzed, with the emphasis on the relation with tensor-network states in the presence of various symmetries. Perspectives are also given for the role of symmetry and phases of quantum matter in measurement-based quantum computation and fault tolerance.
Comments are welcome!
References in corpus (36)
- Non-Abelian Anyons and Topological Quantum Computation
- Generalized Global Symmetries
- Optical Quantum Computing
- Reference frames, superselection rules, and quantum information
- Resource-efficient linear optical quantum computation
- Topological Quantum Distillation
- Valence Bond Solids for Quantum Computation
- Measurement-Only Topological Quantum Computation
- A classification of symmetry enriched topological phases with exactly solvable models
- Novel schemes for measurement-based quantum computation
- Universal resources for measurement-based quantum computation
- Topological Computation without Braiding
- Measurement-based quantum computer in the gapped ground state of a two-body Hamiltonian
- Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
- Foliated fracton order from gauging subsystem symmetries
- Identifying phases of quantum many-body systems that are universal for quantum computation
- Universal quantum computation with little entanglement
- Fracton topological phases from strongly coupled spin chains
- Quantum computational capability of a 2D valence bond solid phase
- Both Toffoli and Controlled-NOT need little help to do universal quantum computation
- A computationally universal phase of quantum matter
- Fundamentals of universality in one-way quantum computation
- On topological phases of spin chains
- Computation by measurements: a unifying picture
- On measurement-based quantum computation with the toric code states
- Entanglement and nonclassical properties of hypergraph states
- Encoding Hypergraphs into Quantum States
- Quantum computation by local measurement
- Symmetry protection of measurement-based quantum computation in ground states
- On the structure of Clifford quantum cellular automata
- Qudit quantum computation on matrix product states with global symmetry
- Quantum state reduction for universal measurement based computation
- Quantum spin systems for measurement-based quantum computation
- Local unitary symmetries of hypergraph states
- Classification of Matrix Product States with a Local (Gauge) Symmetry
- Error rates and resource overheads of encoded three-qubit gates