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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.

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

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 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 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 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.

A topological quantum field theory used to describe certain three-dimensional topological states of matter, relevant in topological QC for providing a theoretical framework for anyonic physics.

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.

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.

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.

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.

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

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.

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.