Simulating Topological Insulators With Cold Atoms
Topological insulators and how cold atoms and other quantum simulators reproduce their band structures, edge states and spin Hall effect.
BasicsAlgorithmsHardwareError CorrectionCryptographyMachine LearningInformation TheoryPhysics & SimulationApplicationsIndustry & Careers
Tagged: Topological Qubits
19 articles
Topological Quantum Computing: Braids as Gates
Topological quantum computing would perform gates by braiding anyons. The theory, error resistance, challenges and state of the experiments.
Topological Qubits: The Promise and the Evidence
Topological qubits promise built-in error resistance through anyon braiding. The promise, the gates, the challenges and the experimental evidence.
Majorana Qubits: Topological Protection in Hardware
Majorana qubits would store information non-locally in pairs of Majorana zero modes. Their structure, braiding, and the state of the evidence.
Quantum Topology: Invariants and Physical Meaning
Quantum topology links topological invariants of knots and manifolds with quantum field theory and quantum groups. Origins and applications.
Topological Insulators: Conducting Only at the Edge
Topological insulators conduct along their surface or edges while insulating inside. Band inversion, Z2 invariants and uses in spintronics.
Quantum Liquids: Helium, Superfluids and Order
Quantum liquids such as helium-3 and helium-4 show superfluidity and other collective quantum effects. Their physics, experiments and uses.
Fault-Tolerant Quantum Computing: The Threshold
Fault-tolerant quantum computing and the threshold theorem: how codes, syndrome measurement and careful circuits keep errors from spreading.
Non-Abelian Anyon Codes: Braiding as Computation
Non-abelian anyons change a state when braided, which could give fault-tolerant gates. Codes built on them and experimental progress.
Majorana Fermion Codes: Hardware-Level Protection
Majorana zero modes could store qubits non-locally and process them by braiding. The theory, error correction role and experimental status.
Kitaev’s Code: The Origin of Topological Protection
Kitaev’s contributions to topological error correction: the toric code, anyons and the idea of protecting qubits through topological order.
The Toric Code: Kitaev’s Topological Memory
The toric code stores qubits in the topology of a lattice on a torus. Stabilizers, anyons, logical operators and why local errors do little harm.
