Discover published sets by community

A measure of quantum entanglement in topological states of matter, integral to topological quantum computers for assessing the topological properties of ground state wavefunctions.

Rules that dictate the outcome of combining (fusing) anyons, an essential part of topological quantum computation that determines how quantum information can be processed and read out.

The technique of protecting quantum information from errors due to decoherence and other quantum noise, crucial for topological quantum computers that inherently implement error correction through their topology.

Quasiparticles with non-abelian statistics proposed to be used as a basis for qubits in topological quantum computers, leveraging their topological properties for error-resilient information encoding.

A phenomenon where electrons in a two-dimensional system exhibit quantized Hall conductance, important for topological quantum computing because it provides an environment for anyons to emerge.

A theoretical framework used in physics and mathematics to describe the topology of quantum fields, significant in topological quantum computing for providing mathematical tools to understand anyons.

A theoretical model of a one-dimensional wire proposed by Alexei Kitaev that can host Majorana fermions at its ends, providing a physical implementation for topological qubits.

A form of quantum order that characterizes systems with ground states featuring robust global properties protected against local perturbations, crucial for fault-tolerant topological quantum computation.

A property that remains unchanged under continuous deformations, playing a pivotal role in topological quantum computing by ensuring stability and fault tolerance through preserved states.

The process of topologically entangling anyons, utilized in topological quantum computing for creating and manipulating quantum gates and maintaining quantum coherence.

A type of anyon whose quantum state upon braiding depends not just on the class of braids, but also on the specific sequence of braiding steps, fundamental for realizing complex gate operations in topological QC.

A branch of mathematics that studies knots within the framework of quantum computing, important for topological QC due to the role of knot invariants in understanding quantum states and transformations.

Hypothetical particles that are their own antiparticles, proposed as ideal candidates for anyons in topological quantum computers due to their robustness against local disturbances.

A state of matter like a superconductor or topological insulator, whose properties are protected by its topological characteristics, forming the basis for realizing error-resistant quantum computation.