
Using a Hubbard–Stratonovich like decomposition technique, we implemented simulations for the quantum circuits of Simon's algorithm for the detection of the periodicity of a function and Shor's algorithm for the factoring of prime numbers on a classical computer. Our approach has the advantage that the dimension of the problem does not grow exponentially with the number of qubits.
quantum information, auxiliary field method, Quantum computation, Quantum equilibrium statistical mechanics (general), quantum communication, Circuits, networks
quantum information, auxiliary field method, Quantum computation, Quantum equilibrium statistical mechanics (general), quantum communication, Circuits, networks
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