The relationship between minimum gap and success probability in adiabatic quantum computing

Details The relationship between minimum gap and success probability in adiabatic quantum computing The relationship between minimum gap and success probability in adiabatic quantum computing

2011-07-20

arxiv.org/abs/1107.4034v1

Physics

Quantum Physics

8 pages, 5 figures

Scientific paper

We explore the relationship between two figures of merit for an adiabatic quantum computation process: the success probability and the minimum gap between the ground and first excited states. We study a generic adiabatic algorithm and show that a rich structure exists in the distribution of these two important variables. In the case of two qubits, the success probability is to a good approximation a function of the minimum gap, the stage in the evolution at which the minimum occurs and the computation time. This structure persists in examples of larger systems and appears to be closely linked to the choice of initial and problem Hamiltonians.

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