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arXiv · 2312.13185

Measurement-based quantum computation from Clifford quantum cellular automata

Hendrik Poulsen Nautrup·Hans J. Briegel
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Abstract

Measurement-based quantum computation (MBQC) is a paradigm for quantum computation where computation is driven by local measurements on a suitably entangled resource state. In this work we show that MBQC is related to a model of quantum computation based on Clifford quantum cellular automata (CQCA). Specifically, we show that certain MBQCs can be directly constructed from CQCAs which yields a simple and intuitive circuit model representation of MBQC in terms of quantum computation based on CQCA. We apply this description to construct various MBQC-based Ans\"atze for parameterized quantum circuits, demonstrating that the different Ans\"atze may lead to significantly different performances on different learning tasks. In this way, MBQC yields a family of Hardware-efficient Ans\"atze that may be adapted to specific problem settings and is particularly well suited for architectures with translationally invariant gates such as neutral atoms.

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BibTeXRIS

Hendrik Poulsen Nautrup, Hans J. Briegel. 2023-12-20. Measurement-based quantum computation from Clifford quantum cellular automata. https://doi.org/10.1103/physreva.110.062617

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