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Models of Quantum Computation
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Topological Quantum Computing
Computational model that uses anyons, particles with non-abelian statistics, to perform computations based on their braiding and fusion properties.
Quantum Turing Machine
A theoretical model of a Turing machine that operates on a tape of qubits and is capable of superposition and entanglement.
Quantum Cellular Automata
A grid of cells in a quantum state that evolves through discrete time steps according to a set of rules based on the cells' neighbors.
Adiabatic Quantum Computing
This model slowly varies the Hamiltonian of a quantum system to evolve the qubits from the ground state of a simple system to the ground state of a system that encodes the solution to a problem.
Hybrid Quantum-Classical Computing
A model of computation that interleaves classical computing algorithms with quantum sub-routines, which can be particularly effective for near-term quantum devices.
Measurement-Based Quantum Computing
A model where computation is performed through a sequence of adaptive quantum measurements on a highly entangled resource state, such as a cluster state.
Quantum Annealing
A model primarily used for optimization problems, where the system is initialized in a ground state and is slowly evolved to solve the optimization by annealing.
Quantum Walks
They generalize classical random walks, involve the superposition and interference of paths, and can be used for developing quantum algorithms.
Quantum Error Correction
Not a computational model per se, but a collection of methods that protect quantum information against decoherence and errors during computation.
Quantum Circuit Model
A computational model that uses a sequence of quantum gates (unitary operations) and measurements applied to quantum bits (qubits).
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