Science, ISSN 0036-8075, 3/2013, Volume 339, Issue 6124, pp. 1179 - 1184

Quantum computation requires controlled engineering of quantum states to perform tasks that go beyond those possible with classical computers. Topological...

REVIEWS | Superconductors | Fermions | Braiding | Ground state | Former slaves | Topology | Magnetic fields | Quantum computers | Computational topology | Electrons | MODES | HALL STATES | VORTICES | PARTICLES | NANOWIRE | SUPERCONDUCTOR | MULTIDISCIPLINARY SCIENCES | ANYONS | NON-ABELIAN STATISTICS | MAJORANA FERMIONS | SIGNATURE | Quantum computing | Research | Algebraic topology | Engineering | Topological manifolds | Quantum theory | Information processing | Phases | Tasks | Computation | Data processing | Defects

REVIEWS | Superconductors | Fermions | Braiding | Ground state | Former slaves | Topology | Magnetic fields | Quantum computers | Computational topology | Electrons | MODES | HALL STATES | VORTICES | PARTICLES | NANOWIRE | SUPERCONDUCTOR | MULTIDISCIPLINARY SCIENCES | ANYONS | NON-ABELIAN STATISTICS | MAJORANA FERMIONS | SIGNATURE | Quantum computing | Research | Algebraic topology | Engineering | Topological manifolds | Quantum theory | Information processing | Phases | Tasks | Computation | Data processing | Defects

Journal Article

Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 10/2007, Volume 76, Issue 4

A different way to realize nonadiabatic geometric quantum computation is proposed by varying parameters in the Hamiltonian for nuclear-magnetic resonance,...

INTERFEROMETER | OPTICS | TOPOLOGICAL PHASE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | HAMILTONIANS | QUANTUM COMPUTERS | COMPARATIVE EVALUATIONS | QUANTUM MECHANICS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | NUCLEAR MAGNETIC RESONANCE

INTERFEROMETER | OPTICS | TOPOLOGICAL PHASE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | HAMILTONIANS | QUANTUM COMPUTERS | COMPARATIVE EVALUATIONS | QUANTUM MECHANICS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | NUCLEAR MAGNETIC RESONANCE

Journal Article

Science, ISSN 0036-8075, 7/2014, Volume 345, Issue 6194, pp. 302 - 305

The construction of a quantum computer remains a fundamental scientific and technological challenge because of the influence of unavoidable noise. Quantum...

Error rates | Quantum entanglement | REPORTS | Expected values | Ions | Mechanical stabilizers | Mathematical vectors | Topology | Grants | Topological logic | Quantum computers | CIRCUITS | THRESHOLD | ERROR-CORRECTING CODES | MEMORY | COMPUTERS | MULTIDISCIPLINARY SCIENCES | TRAPPED IONS | REALIZATION | Quantum computing | Analysis | Biodegradation | Topological manifolds | Quantum physics | Degradation | Fault tolerance | Qubits (quantum computing) | Computation | Noise

Error rates | Quantum entanglement | REPORTS | Expected values | Ions | Mechanical stabilizers | Mathematical vectors | Topology | Grants | Topological logic | Quantum computers | CIRCUITS | THRESHOLD | ERROR-CORRECTING CODES | MEMORY | COMPUTERS | MULTIDISCIPLINARY SCIENCES | TRAPPED IONS | REALIZATION | Quantum computing | Analysis | Biodegradation | Topological manifolds | Quantum physics | Degradation | Fault tolerance | Qubits (quantum computing) | Computation | Noise

Journal Article

Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 10/2018, Volume 115, Issue 43, pp. 10938 - 10942

The chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain 2D topological matters. It has been theoretically...

Majorana | Quantum computing | Topological | INSULATOR | quantum computing | MULTIDISCIPLINARY SCIENCES | ANYONS | NON-ABELIAN STATISTICS | topological | Usage | Models | Mathematical models | Fermions | Properties | Physics - Mesoscale and Nanoscale Physics | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | Physical Sciences

Majorana | Quantum computing | Topological | INSULATOR | quantum computing | MULTIDISCIPLINARY SCIENCES | ANYONS | NON-ABELIAN STATISTICS | topological | Usage | Models | Mathematical models | Fermions | Properties | Physics - Mesoscale and Nanoscale Physics | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | Physical Sciences

Journal Article

New Journal of Physics, ISSN 1367-2630, 2014, Volume 16, Issue 6, p. 65003

Topological quantum computation started as a niche area of research aimed at employing particles with exotic statistics, called anyons, for performing quantum...

Jones polynomials | non-Abelian anyons | topological quantum computation | topological order | quantum error correction | quantum Hall effect | PHYSICS, MULTIDISCIPLINARY | ANYONS | Fault tolerance | Quantum computing | Algorithms | Topology

Jones polynomials | non-Abelian anyons | topological quantum computation | topological order | quantum error correction | quantum Hall effect | PHYSICS, MULTIDISCIPLINARY | ANYONS | Fault tolerance | Quantum computing | Algorithms | Topology

Journal Article

Physical Review X, ISSN 2160-3308, 2015, Volume 5, Issue 4, p. 041038

We introduce an exactly solvable model of interacting Majorana fermions realizing Z(2) topological order with a Z(2) fermion parity grading and lattice...

P-WAVE | ERROR-DETECTION | THRESHOLD | WAVE SUPERCONDUCTORS | PHYSICS, MULTIDISCIPLINARY | ANYONS | STATE | TOPOLOGICAL INSULATOR | FAULT-TOLERANCE | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | superconductivity | condensed matter physics | quantum information

P-WAVE | ERROR-DETECTION | THRESHOLD | WAVE SUPERCONDUCTORS | PHYSICS, MULTIDISCIPLINARY | ANYONS | STATE | TOPOLOGICAL INSULATOR | FAULT-TOLERANCE | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | superconductivity | condensed matter physics | quantum information

Journal Article

Chinese Physics B, ISSN 1674-1056, 2018, Volume 27, Issue 7, p. 70301

Solid-state quantum computation station belongs to the group 2 of manipulation of quantum state in the Synergetic Extreme Condition User Facility. Here we will...

topological quantum state | Quantum computation | superconducting qubit | Majorana fermion | PHYSICS, MULTIDISCIPLINARY

topological quantum state | Quantum computation | superconducting qubit | Majorana fermion | PHYSICS, MULTIDISCIPLINARY

Journal Article

Journal of the Physical Society of Japan, ISSN 0031-9015, 05/2007, Volume 76, Issue 5, pp. "053702 - 1"-"053702-5

We derive an efficient formula for Z_2 topological invariants characterizing the quantum spin Hall effect. It is defined in a lattice Brillouin zone, which...

Time reversal symmetry | Quantum spin Hall effect | topological invariant | Chern number | Lattice gauge theory

Time reversal symmetry | Quantum spin Hall effect | topological invariant | Chern number | Lattice gauge theory

Journal Article

Annals of Physics, ISSN 0003-4916, 2010, Volume 325, Issue 12, pp. 2707 - 2749

For a 3-manifold with triangulated boundary, the Turaevâ€“Viro topological invariant can be interpreted as a quantum error-correcting code. The code has local...

Turaevâ€“Viro invariant | Fault-tolerant quantum computation | Quantum error-correcting codes | Topological quantum computation | Turaev-Viro invariant | PHYSICS, MULTIDISCIPLINARY | INVARIANTS | ANYONS | 3-MANIFOLDS | SUBFACTORS | CATEGORIES | Computer science | Analysis | Quantum physics | Fault tolerance | Categories | Computation | Lattices | Software | Boundaries | Invariants | Computer programs | Physics - Quantum Physics | TOPOLOGY | ERRORS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | CALCULATION METHODS | COMPUTERS | INFORMATION | QUANTUM STATES | QUANTUM MECHANICS | SPACE | MATHEMATICS | QUANTUM INFORMATION | MECHANICS | QUANTUM COMPUTERS | COMPUTER CODES | QUASI PARTICLES

Turaevâ€“Viro invariant | Fault-tolerant quantum computation | Quantum error-correcting codes | Topological quantum computation | Turaev-Viro invariant | PHYSICS, MULTIDISCIPLINARY | INVARIANTS | ANYONS | 3-MANIFOLDS | SUBFACTORS | CATEGORIES | Computer science | Analysis | Quantum physics | Fault tolerance | Categories | Computation | Lattices | Software | Boundaries | Invariants | Computer programs | Physics - Quantum Physics | TOPOLOGY | ERRORS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | CALCULATION METHODS | COMPUTERS | INFORMATION | QUANTUM STATES | QUANTUM MECHANICS | SPACE | MATHEMATICS | QUANTUM INFORMATION | MECHANICS | QUANTUM COMPUTERS | COMPUTER CODES | QUASI PARTICLES

Journal Article

New Journal of Physics, ISSN 1367-2630, 12/2016, Volume 18, Issue 12, p. 123027

We investigate the measurement-only topological quantum computation (MOTQC) approach proposed by Bonderson et al (2008 Phys. Rev. Lett. 101 010501) where the...

measurement-based braiding | topological quantum computation | parafermions | Majorana fermions | quantum information | STATES | PARTICLES | PHYSICS, MULTIDISCIPLINARY | NANOWIRE | SUPERCONDUCTOR | SIGNATURE | NON-ABELIAN ANYONS | Quantum computing | Statistical analysis | Topology | Computer simulation | Braiding

measurement-based braiding | topological quantum computation | parafermions | Majorana fermions | quantum information | STATES | PARTICLES | PHYSICS, MULTIDISCIPLINARY | NANOWIRE | SUPERCONDUCTOR | SIGNATURE | NON-ABELIAN ANYONS | Quantum computing | Statistical analysis | Topology | Computer simulation | Braiding

Journal Article

Frontiers of Physics, ISSN 2095-0462, 8/2019, Volume 14, Issue 4, pp. 1 - 16

Topological insulators are emergent states of quantum matter that are gapped in the bulk with time-reversal symmetry-preserved gapless edge/surface states,...

Condensed Matter Physics | topological insulator | Majorana fermion | topological superconductor | Atomic, Molecular, Optical and Plasma Physics | topological spintronics | Physics | Particle and Nuclear Physics | Astronomy, Astrophysics and Cosmology | STATES | SUPERCONDUCTIVITY | SINGLE DIRAC CONE | PHYSICS, MULTIDISCIPLINARY | SPIN-ORBIT TORQUE | HALL | NON-ABELIAN STATISTICS | BI2SE3 | Superconductors

Condensed Matter Physics | topological insulator | Majorana fermion | topological superconductor | Atomic, Molecular, Optical and Plasma Physics | topological spintronics | Physics | Particle and Nuclear Physics | Astronomy, Astrophysics and Cosmology | STATES | SUPERCONDUCTIVITY | SINGLE DIRAC CONE | PHYSICS, MULTIDISCIPLINARY | SPIN-ORBIT TORQUE | HALL | NON-ABELIAN STATISTICS | BI2SE3 | Superconductors

Journal Article

International Journal of Quantum Information, ISSN 0219-7499, 02/2010, Volume 8, Issue 1-2, pp. 295 - 323

In a large-scale quantum computer, the cost of communications will dominate the performance and resource requirements, place many severe demands on the...

Distributed quantum computation | Nanophotonics | Quantum multicomputer | Topological fault tolerance | SINGLE-ELECTRON SPIN | SYSTEM | OPERATIONS | ENTANGLEMENT | DOT | topological fault tolerance | ART. NO. 052320 | PHYSICS, MATHEMATICAL | nanophotonics | NOISY CHANNELS | quantum multicomputer | PURIFICATION | COMPUTER SCIENCE, THEORY & METHODS | ERROR-CORRECTION | COMMUNICATION | PHYSICS, PARTICLES & FIELDS | Demand | Architecture | Semiconductors | Probability theory | Nanomaterials | Entanglement | Nanostructure | Photons | Probabilistic methods | Qubits (quantum computing) | Quantum computers | Marketing | Photonics | Fault tolerance | Nanocomposites | Computation | Lasers | High speed | Clusters | Waveguides | Holes | Hardware | Error correction | Gates | Physics - Quantum Physics

Distributed quantum computation | Nanophotonics | Quantum multicomputer | Topological fault tolerance | SINGLE-ELECTRON SPIN | SYSTEM | OPERATIONS | ENTANGLEMENT | DOT | topological fault tolerance | ART. NO. 052320 | PHYSICS, MATHEMATICAL | nanophotonics | NOISY CHANNELS | quantum multicomputer | PURIFICATION | COMPUTER SCIENCE, THEORY & METHODS | ERROR-CORRECTION | COMMUNICATION | PHYSICS, PARTICLES & FIELDS | Demand | Architecture | Semiconductors | Probability theory | Nanomaterials | Entanglement | Nanostructure | Photons | Probabilistic methods | Qubits (quantum computing) | Quantum computers | Marketing | Photonics | Fault tolerance | Nanocomposites | Computation | Lasers | High speed | Clusters | Waveguides | Holes | Hardware | Error correction | Gates | Physics - Quantum Physics

Journal Article

Science, ISSN 0036-8075, 07/2017, Volume 357, Issue 6348, pp. 294 - 299

Majorana fermion is a hypothetical particle that is its own antiparticle. We report transport measurements that suggest the existence of one-dimensional chiral...

STATES | TOPOLOGICAL INSULATORS | COMPUTATION | MULTIDISCIPLINARY SCIENCES | ANYONS | Quantum Hall effect | Fermions | Properties | Observations | Resistance | Quantum computing | Elementary particles | Hybrid systems | Conductance | Nanowires | Transport | Magnetic fields | Plateaus | Nanotechnology | Propagation modes | CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

STATES | TOPOLOGICAL INSULATORS | COMPUTATION | MULTIDISCIPLINARY SCIENCES | ANYONS | Quantum Hall effect | Fermions | Properties | Observations | Resistance | Quantum computing | Elementary particles | Hybrid systems | Conductance | Nanowires | Transport | Magnetic fields | Plateaus | Nanotechnology | Propagation modes | CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Journal Article

Entropy, ISSN 1099-4300, 09/2016, Volume 18, Issue 9, p. 339

This editorial explains the scope of the special issue and provides a thematic introduction to the contributed papers.

Multi-particle models | Quantum walks | Quantum computation | Quantum potential | Quantum statistical mechanics | Topological quantum computing | Quantum information | Multi-particle entanglement | quantum walks | STATES | PHYSICS, MULTIDISCIPLINARY | ENVIRONMENT | multi-particle entanglement | MODEL | quantum statistical mechanics | quantum information | topological quantum computing | multi-particle models | quantum potential | QUBIT | quantum computation | ENTROPY

Multi-particle models | Quantum walks | Quantum computation | Quantum potential | Quantum statistical mechanics | Topological quantum computing | Quantum information | Multi-particle entanglement | quantum walks | STATES | PHYSICS, MULTIDISCIPLINARY | ENVIRONMENT | multi-particle entanglement | MODEL | quantum statistical mechanics | quantum information | topological quantum computing | multi-particle models | quantum potential | QUBIT | quantum computation | ENTROPY

Journal Article

Nature Physics, ISSN 1745-2473, 06/2016, Volume 12, Issue 7, pp. 639 - 645

Since the discovery of topological insulators, many topological phases have been predicted and realized in a range of different systems, providing both...

PHASE | QUANTIZED HALL CONDUCTANCE | MAGNETIC-FIELDS | PHYSICS, MULTIDISCIPLINARY | HOFSTADTER BANDS | COLD ATOMS | REALIZATION | CHERN NUMBER | DRIVEN | COMPUTATION | EDGE STATES | Lattice theory | Topological manifolds | Matter & antimatter | Quantum physics | Optical properties | Optical lattices | Platforms | Correlation | Phases | Insulators | Topology | Devices | Flexibility

PHASE | QUANTIZED HALL CONDUCTANCE | MAGNETIC-FIELDS | PHYSICS, MULTIDISCIPLINARY | HOFSTADTER BANDS | COLD ATOMS | REALIZATION | CHERN NUMBER | DRIVEN | COMPUTATION | EDGE STATES | Lattice theory | Topological manifolds | Matter & antimatter | Quantum physics | Optical properties | Optical lattices | Platforms | Correlation | Phases | Insulators | Topology | Devices | Flexibility

Journal Article

Annals of Physics, ISSN 0003-4916, 2009, Volume 324, Issue 4, pp. 787 - 826

We describe measurement-only topological quantum computation using both projective and interferometrical measurement of topological charge. We demonstrate how...

Fractional quantum Hall effect | Anyonic charge measurement | Topological quantum computation | Interferometry | HALL STATES | POINT-CONTACT | UNIVERSAL | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | SYSTEMS | NON-ABELIAN STATISTICS | TELEPORTATION | Measurement | Geometry | Physics | Quantum theory | TOPOLOGY | QUANTUM COMPUTERS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANYONS | INTERFEROMETRY | QUANTUM TELEPORTATION | HALL EFFECT | QUANTUM MECHANICS | TRANSFORMATIONS

Fractional quantum Hall effect | Anyonic charge measurement | Topological quantum computation | Interferometry | HALL STATES | POINT-CONTACT | UNIVERSAL | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | SYSTEMS | NON-ABELIAN STATISTICS | TELEPORTATION | Measurement | Geometry | Physics | Quantum theory | TOPOLOGY | QUANTUM COMPUTERS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANYONS | INTERFEROMETRY | QUANTUM TELEPORTATION | HALL EFFECT | QUANTUM MECHANICS | TRANSFORMATIONS

Journal Article

Mathematics in Computer Science, ISSN 1661-8270, 3/2015, Volume 9, Issue 1, pp. 63 - 84

We propose a construction of anyon systems associated to quantum tori with real multiplication and the embedding of quantum tori in AF algebras. These systems...

AF algebras | 11M55 | 81P68 | 58B34 | Noncommutative tori with real multiplication | Mathematics, general | Anyons | Topological quantum computing | Mathematics | Computer Science, general | Algebra

AF algebras | 11M55 | 81P68 | 58B34 | Noncommutative tori with real multiplication | Mathematics, general | Anyons | Topological quantum computing | Mathematics | Computer Science, general | Algebra

Journal Article