Design of quantum Fourier transforms and quantum algorithms by using circulant Hamiltonians

Abstract

We propose a technique for design of quantum Fourier transforms, and ensuing quantum algorithms, in a single interaction step by engineered Hamiltonians of circulant symmetry. The method uses adiabatic evolution and is robust against fluctuations of the interaction parameters as long as the Hamiltonian retains a circulant symmetry.

5 pages, 3 figures

References in corpus (2)

• Experimental demonstration of Shor's algorithm with quantum entanglement
• Demonstration of Shor's quantum factoring algorithm using photonic qubits