Quantum Adiabatic Brachistochrone

Details Quantum Adiabatic Brachistochrone Quantum Adiabatic Brachistochrone

2009-05-14

arxiv.org/abs/0905.2376v1

Phys. Rev. Lett. 103, 080502 (2009)

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.103.080502

We formulate a time-optimal approach to adiabatic quantum computation (AQC). A corresponding natural Riemannian metric is also derived, through which AQC can be understood as the problem of finding a geodesic on the manifold of control parameters. This geometrization of AQC is demonstrated through two examples, where we show that it leads to improved performance of AQC, and sheds light on the roles of entanglement and curvature of the control manifold in algorithmic performance.

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