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Models of Quantum Computation
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Quantum Circuit Model
A computational model that uses a sequence of quantum gates (unitary operations) and measurements applied to quantum bits (qubits).
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 Error Correction
Not a computational model per se, but a collection of methods that protect quantum information against decoherence and errors during computation.
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.
Topological Quantum Computing
Computational model that uses anyons, particles with non-abelian statistics, to perform computations based on their braiding and fusion properties.
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.
Quantum Walks
They generalize classical random walks, involve the superposition and interference of paths, and can be used for developing quantum algorithms.
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.
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