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Models of Quantum Computation

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Quantum Circuit Model

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A computational model that uses a sequence of quantum gates (unitary operations) and measurements applied to quantum bits (qubits).

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Quantum Turing Machine

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A theoretical model of a Turing machine that operates on a tape of qubits and is capable of superposition and entanglement.

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Quantum Error Correction

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Not a computational model per se, but a collection of methods that protect quantum information against decoherence and errors during computation.

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Quantum Cellular Automata

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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.

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Adiabatic Quantum Computing

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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.

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Topological Quantum Computing

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Computational model that uses anyons, particles with non-abelian statistics, to perform computations based on their braiding and fusion properties.

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Hybrid Quantum-Classical Computing

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A model of computation that interleaves classical computing algorithms with quantum sub-routines, which can be particularly effective for near-term quantum devices.

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Quantum Walks

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They generalize classical random walks, involve the superposition and interference of paths, and can be used for developing quantum algorithms.

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Measurement-Based Quantum Computing

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A model where computation is performed through a sequence of adaptive quantum measurements on a highly entangled resource state, such as a cluster state.

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Quantum Annealing

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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.

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