Universal measurement-based quantum computation in a one-dimensional architecture enabled by dual-unitary circuits. Stephen, D. T., Ho, W. W., Wei, T., Raussendorf, R., & Verresen, R. September, 2022. arXiv:2209.06191 [cond-mat, physics:quant-ph]![Universal measurement-based quantum computation in a one-dimensional architecture enabled by dual-unitary circuits [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper abstract bibtex A powerful tool emerging from the study of many-body quantum dynamics is that of dual-unitary circuits, which are unitary even when read `sideways', i.e., along the spatial direction. Here, we show that this provides the ideal framework to understand and expand on the notion of measurement-based quantum computation (MBQC). In particular, applying a dual-unitary circuit to a many-body state followed by appropriate measurements effectively implements quantum computation in the spatial direction. We argue that this computation can be made deterministic by enforcing a Clifford condition, and is generically universal. Remarkably, all these requirements can already be satisfied by the dynamics of the paradigmatic kicked Ising chain at specific parameter choices. Specifically, after $k$ time-steps, equivalent to a depth-$k$ quantum circuit, we obtain a resource state for universal MBQC on ${\}sim 3k/4$ encoded logical qubits. This removes the usual requirement of going to two dimensions to achieve universality, thereby reducing the demands imposed on potential experimental platforms. Beyond the practical advantages, we also interpret this evolution as an infinite-order entangler for symmetry-protected topological chains, which gives a vast generalization of the celebrated cluster chain and shows that our protocol is robust to symmetry-respecting deformations.
@misc{stephen_universal_2022,
title = {Universal measurement-based quantum computation in a one-dimensional architecture enabled by dual-unitary circuits},
url = {http://arxiv.org/abs/2209.06191},
abstract = {A powerful tool emerging from the study of many-body quantum dynamics is that of dual-unitary circuits, which are unitary even when read `sideways', i.e., along the spatial direction. Here, we show that this provides the ideal framework to understand and expand on the notion of measurement-based quantum computation (MBQC). In particular, applying a dual-unitary circuit to a many-body state followed by appropriate measurements effectively implements quantum computation in the spatial direction. We argue that this computation can be made deterministic by enforcing a Clifford condition, and is generically universal. Remarkably, all these requirements can already be satisfied by the dynamics of the paradigmatic kicked Ising chain at specific parameter choices. Specifically, after \$k\$ time-steps, equivalent to a depth-\$k\$ quantum circuit, we obtain a resource state for universal MBQC on \${\textbackslash}sim 3k/4\$ encoded logical qubits. This removes the usual requirement of going to two dimensions to achieve universality, thereby reducing the demands imposed on potential experimental platforms. Beyond the practical advantages, we also interpret this evolution as an infinite-order entangler for symmetry-protected topological chains, which gives a vast generalization of the celebrated cluster chain and shows that our protocol is robust to symmetry-respecting deformations.},
language = {en},
urldate = {2023-06-27},
publisher = {arXiv},
author = {Stephen, David T. and Ho, Wen Wei and Wei, Tzu-Chieh and Raussendorf, Robert and Verresen, Ruben},
month = sep,
year = {2022},
note = {arXiv:2209.06191 [cond-mat, physics:quant-ph]},
keywords = {Quantum Physics, Condensed Matter - Strongly Correlated Electrons},
annote = {Comment: 14 pages},
file = {Stephen et al. - 2022 - Universal measurement-based quantum computation in.pdf:/Users/georgehuang/Zotero/storage/C8MBNTMQ/Stephen et al. - 2022 - Universal measurement-based quantum computation in.pdf:application/pdf},
}
Downloads: 0
{"_id":"YrF8ZkjG79Tctu25N","bibbaseid":"stephen-ho-wei-raussendorf-verresen-universalmeasurementbasedquantumcomputationinaonedimensionalarchitectureenabledbydualunitarycircuits-2022","author_short":["Stephen, D. T.","Ho, W. W.","Wei, T.","Raussendorf, R.","Verresen, R."],"bibdata":{"bibtype":"misc","type":"misc","title":"Universal measurement-based quantum computation in a one-dimensional architecture enabled by dual-unitary circuits","url":"http://arxiv.org/abs/2209.06191","abstract":"A powerful tool emerging from the study of many-body quantum dynamics is that of dual-unitary circuits, which are unitary even when read `sideways', i.e., along the spatial direction. Here, we show that this provides the ideal framework to understand and expand on the notion of measurement-based quantum computation (MBQC). In particular, applying a dual-unitary circuit to a many-body state followed by appropriate measurements effectively implements quantum computation in the spatial direction. We argue that this computation can be made deterministic by enforcing a Clifford condition, and is generically universal. Remarkably, all these requirements can already be satisfied by the dynamics of the paradigmatic kicked Ising chain at specific parameter choices. Specifically, after $k$ time-steps, equivalent to a depth-$k$ quantum circuit, we obtain a resource state for universal MBQC on ${\\}sim 3k/4$ encoded logical qubits. This removes the usual requirement of going to two dimensions to achieve universality, thereby reducing the demands imposed on potential experimental platforms. Beyond the practical advantages, we also interpret this evolution as an infinite-order entangler for symmetry-protected topological chains, which gives a vast generalization of the celebrated cluster chain and shows that our protocol is robust to symmetry-respecting deformations.","language":"en","urldate":"2023-06-27","publisher":"arXiv","author":[{"propositions":[],"lastnames":["Stephen"],"firstnames":["David","T."],"suffixes":[]},{"propositions":[],"lastnames":["Ho"],"firstnames":["Wen","Wei"],"suffixes":[]},{"propositions":[],"lastnames":["Wei"],"firstnames":["Tzu-Chieh"],"suffixes":[]},{"propositions":[],"lastnames":["Raussendorf"],"firstnames":["Robert"],"suffixes":[]},{"propositions":[],"lastnames":["Verresen"],"firstnames":["Ruben"],"suffixes":[]}],"month":"September","year":"2022","note":"arXiv:2209.06191 [cond-mat, physics:quant-ph]","keywords":"Quantum Physics, Condensed Matter - Strongly Correlated Electrons","annote":"Comment: 14 pages","file":"Stephen et al. - 2022 - Universal measurement-based quantum computation in.pdf:/Users/georgehuang/Zotero/storage/C8MBNTMQ/Stephen et al. - 2022 - Universal measurement-based quantum computation in.pdf:application/pdf","bibtex":"@misc{stephen_universal_2022,\n\ttitle = {Universal measurement-based quantum computation in a one-dimensional architecture enabled by dual-unitary circuits},\n\turl = {http://arxiv.org/abs/2209.06191},\n\tabstract = {A powerful tool emerging from the study of many-body quantum dynamics is that of dual-unitary circuits, which are unitary even when read `sideways', i.e., along the spatial direction. Here, we show that this provides the ideal framework to understand and expand on the notion of measurement-based quantum computation (MBQC). In particular, applying a dual-unitary circuit to a many-body state followed by appropriate measurements effectively implements quantum computation in the spatial direction. We argue that this computation can be made deterministic by enforcing a Clifford condition, and is generically universal. Remarkably, all these requirements can already be satisfied by the dynamics of the paradigmatic kicked Ising chain at specific parameter choices. Specifically, after \\$k\\$ time-steps, equivalent to a depth-\\$k\\$ quantum circuit, we obtain a resource state for universal MBQC on \\${\\textbackslash}sim 3k/4\\$ encoded logical qubits. This removes the usual requirement of going to two dimensions to achieve universality, thereby reducing the demands imposed on potential experimental platforms. Beyond the practical advantages, we also interpret this evolution as an infinite-order entangler for symmetry-protected topological chains, which gives a vast generalization of the celebrated cluster chain and shows that our protocol is robust to symmetry-respecting deformations.},\n\tlanguage = {en},\n\turldate = {2023-06-27},\n\tpublisher = {arXiv},\n\tauthor = {Stephen, David T. and Ho, Wen Wei and Wei, Tzu-Chieh and Raussendorf, Robert and Verresen, Ruben},\n\tmonth = sep,\n\tyear = {2022},\n\tnote = {arXiv:2209.06191 [cond-mat, physics:quant-ph]},\n\tkeywords = {Quantum Physics, Condensed Matter - Strongly Correlated Electrons},\n\tannote = {Comment: 14 pages},\n\tfile = {Stephen et al. - 2022 - Universal measurement-based quantum computation in.pdf:/Users/georgehuang/Zotero/storage/C8MBNTMQ/Stephen et al. - 2022 - Universal measurement-based quantum computation in.pdf:application/pdf},\n}\n\n","author_short":["Stephen, D. T.","Ho, W. W.","Wei, T.","Raussendorf, R.","Verresen, R."],"key":"stephen_universal_2022","id":"stephen_universal_2022","bibbaseid":"stephen-ho-wei-raussendorf-verresen-universalmeasurementbasedquantumcomputationinaonedimensionalarchitectureenabledbydualunitarycircuits-2022","role":"author","urls":{"Paper":"http://arxiv.org/abs/2209.06191"},"keyword":["Quantum Physics","Condensed Matter - Strongly Correlated Electrons"],"metadata":{"authorlinks":{}},"html":""},"bibtype":"misc","biburl":"https://bibbase.org/network/files/MdCywnfEcRNyDtvne","dataSources":["yoC7aEqiuoMyGb9he"],"keywords":["quantum physics","condensed matter - strongly correlated electrons"],"search_terms":["universal","measurement","based","quantum","computation","one","dimensional","architecture","enabled","dual","unitary","circuits","stephen","ho","wei","raussendorf","verresen"],"title":"Universal measurement-based quantum computation in a one-dimensional architecture enabled by dual-unitary circuits","year":2022}