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• W2077210557 abstract "Although quantum computers have the potential to efficiently solve certain problems considered difficult by known classical approaches, the design of a quantum circuit remains computationally difficult. It is known that the optimal gate-design problem is equivalent to the solution of an associated optimal-control problem; the solution to which is also computationally intensive. Hence, in this article, we introduce the application of a class of numerical methods (termed the max-plus curse of dimensionality-free techniques) that determine the optimal control, thereby synthesizing the desired unitary gate. The application of this technique to quantum systems has a growth in complexity that depends on the cardinality of the control-set approximation rather than the much larger growth with respect to spatial dimensions in approaches based on gridding of the space, which is used in previous research. This technique is demonstrated by obtaining an approximate solution for the gate synthesis on SU(4)---a problem that is computationally intractable by grid-based approaches." @default.
• W2077210557 created "2016-06-24" @default.
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• W2077210557 date "2010-10-20" @default.
• W2077210557 modified "2023-09-25" @default.
• W2077210557 title "Reduced-complexity numerical method for optimal gate synthesis" @default.
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• W2077210557 doi "https://doi.org/10.1103/physreva.82.042319" @default.
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