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arXiv · 0910.1503

A space-efficient quantum computer simulator suitable for high-speed FPGA implementation

Michael P. Frank·Liviu Oniciuc·Uwe Meyer-Baese·Irinel Chiorescu
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Abstract

Conventional vector-based simulators for quantum computers are quite limited in the size of the quantum circuits they can handle, due to the worst-case exponential growth of even sparse representations of the full quantum state vector as a function of the number of quantum operations applied. However, this exponential-space requirement can be avoided by using general space-time tradeoffs long known to complexity theorists, which can be appropriately optimized for this particular problem in a way that also illustrates some interesting reformulations of quantum mechanics. In this paper, we describe the design and empirical space-time complexity measurements of a working software prototype of a quantum computer simulator that avoids excessive space requirements. Due to its space-efficiency, this design is well-suited to embedding in single-chip environments, permitting especially fast execution that avoids access latencies to main memory. We plan to prototype our design on a standard FPGA development board.

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Michael P. Frank, Liviu Oniciuc, Uwe Meyer-Baese, Irinel Chiorescu. 2009-10-08. A space-efficient quantum computer simulator suitable for high-speed FPGA implementation. https://doi.org/10.1117/12.817924

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