Measurement-based quantum computation from Clifford quantum cellular automata

Fuente: arXiv
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Autori principali: Nautrup, Hendrik Poulsen, Briegel, Hans J.
Natura: Preprint
Pubblicazione: 2023
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author Nautrup, Hendrik Poulsen
Briegel, Hans J.
author_facet Nautrup, Hendrik Poulsen
Briegel, Hans J.
contents 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 Ansätze for parameterized quantum circuits, demonstrating that the different Ansätze may lead to significantly different performances on different learning tasks. In this way, MBQC yields a family of Hardware-efficient Ansätze that may be adapted to specific problem settings and is particularly well suited for architectures with translationally invariant gates such as neutral atoms.
format Preprint
id arxiv_https___arxiv_org_abs_2312_13185
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Measurement-based quantum computation from Clifford quantum cellular automata
Nautrup, Hendrik Poulsen
Briegel, Hans J.
Quantum Physics
Strongly Correlated Electrons
Emerging Technologies
Machine Learning
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 Ansätze for parameterized quantum circuits, demonstrating that the different Ansätze may lead to significantly different performances on different learning tasks. In this way, MBQC yields a family of Hardware-efficient Ansätze that may be adapted to specific problem settings and is particularly well suited for architectures with translationally invariant gates such as neutral atoms.
title Measurement-based quantum computation from Clifford quantum cellular automata
topic Quantum Physics
Strongly Correlated Electrons
Emerging Technologies
Machine Learning
url https://arxiv.org/abs/2312.13185