Abstract:
We study the adiabatic equivalent of the standard quantum circuit of elementary
logic operators. We propose a scheme for constructing time variations of
the Hamiltonian. This scheme can be implemented sufficiently simply, for example,
on nuclear spins controlled by radio-frequency pulses. As an illustration, we
numerically simulate an adiabatic quantum algorithm for finding
the permutation order for a system of five spins (qubits).
Keywords:
quantum algorithm, adiabatic evolution, nuclear magnetic resonance.
Citation:
V. E. Zobov, A. S. Ermilov, “Realizations of standard quantum computational circuits by adiabatic
evolution”, TMF, 150:3 (2007), 461–472; Theoret. and Math. Phys., 150:3 (2007), 393–402
This publication is cited in the following 1 articles:
Zachary Morrell, Marc Vuffray, Sidhant Misra, Carleton Coffrin, 2024 IEEE International Conference on Quantum Computing and Engineering (QCE), 2024, 764