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. RI Lidar, Daniel/A-5871-2008
Quantum Adiabatic Brachistochrone / Rezakhani, At; Kuo, Wj; Hamma, A; Lidar, Da; Zanardi, P. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 103:8(2009). [10.1103/PhysRevLett.103.080502]
Quantum Adiabatic Brachistochrone
Hamma A;
2009
Abstract
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. RI Lidar, Daniel/A-5871-2008| File | Dimensione | Formato | |
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