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Quantum computations on a topologically encoded qubit

D. Nigg, M. Muller, E. A. Martinez, P. Schindler, M. Hennrich, T. Monz, M. A. Martin-Delgado, R. Blatt, Markus Muller

Science, Volume: 345, Issue: 6194, Pages: 302 - 305

Swansea University Author: Markus Muller

DOI (Published version): 10.1126/science.1253742

Abstract

The construction of a quantum computer remains a fundamental scientific and technological challenge, in particular due to unavoidable noise. Quantum states and operations can be protected from errors using protocols for fault-tolerant quantum computing (FTQC). Here we present a step towards this by...

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Published in: Science
Published: 2014
URI: https://cronfa.swan.ac.uk/Record/cronfa28335
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spelling 2019-08-04T21:42:54.5947517 v2 28335 2016-05-26 Quantum computations on a topologically encoded qubit 9b2ac559af27c967ece69db08b83762a Markus Muller Markus Muller true false 2016-05-26 FGSEN The construction of a quantum computer remains a fundamental scientific and technological challenge, in particular due to unavoidable noise. Quantum states and operations can be protected from errors using protocols for fault-tolerant quantum computing (FTQC). Here we present a step towards this by implementing a quantum error correcting code, encoding one qubit in entangled states distributed over 7 trapped-ion qubits. We demonstrate the capability of the code to detect one bit flip, phase flip or a combined error of both, regardless on which of the qubits they occur. Furthermore, we apply combinations of the entire set of logical single-qubit Clifford gates on the encoded qubit to explore its computational capabilities. The implemented 7-qubit code is the first realization of a complete Calderbank-Shor-Steane (CSS) code and constitutes a central building block for FTQC schemes based on concatenated elementary quantum codes. It also represents the smallest fully functional instance of the color code, opening a route towards topological FTQC. Journal Article Science 345 6194 302 305 Quantum Computation 31 12 2014 2014-12-31 10.1126/science.1253742 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2019-08-04T21:42:54.5947517 2016-05-26T15:07:49.9699287 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics D. Nigg 1 M. Muller 2 E. A. Martinez 3 P. Schindler 4 M. Hennrich 5 T. Monz 6 M. A. Martin-Delgado 7 R. Blatt 8 Markus Muller 9 0028335-05062016105831.pdf Mueller_Science_2014.pdf 2016-06-05T10:58:31.8230000 Output 3798018 application/pdf Accepted Manuscript true 2016-06-05T00:00:00.0000000 true
title Quantum computations on a topologically encoded qubit
spellingShingle Quantum computations on a topologically encoded qubit
Markus Muller
title_short Quantum computations on a topologically encoded qubit
title_full Quantum computations on a topologically encoded qubit
title_fullStr Quantum computations on a topologically encoded qubit
title_full_unstemmed Quantum computations on a topologically encoded qubit
title_sort Quantum computations on a topologically encoded qubit
author_id_str_mv 9b2ac559af27c967ece69db08b83762a
author_id_fullname_str_mv 9b2ac559af27c967ece69db08b83762a_***_Markus Muller
author Markus Muller
author2 D. Nigg
M. Muller
E. A. Martinez
P. Schindler
M. Hennrich
T. Monz
M. A. Martin-Delgado
R. Blatt
Markus Muller
format Journal article
container_title Science
container_volume 345
container_issue 6194
container_start_page 302
publishDate 2014
institution Swansea University
doi_str_mv 10.1126/science.1253742
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
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description The construction of a quantum computer remains a fundamental scientific and technological challenge, in particular due to unavoidable noise. Quantum states and operations can be protected from errors using protocols for fault-tolerant quantum computing (FTQC). Here we present a step towards this by implementing a quantum error correcting code, encoding one qubit in entangled states distributed over 7 trapped-ion qubits. We demonstrate the capability of the code to detect one bit flip, phase flip or a combined error of both, regardless on which of the qubits they occur. Furthermore, we apply combinations of the entire set of logical single-qubit Clifford gates on the encoded qubit to explore its computational capabilities. The implemented 7-qubit code is the first realization of a complete Calderbank-Shor-Steane (CSS) code and constitutes a central building block for FTQC schemes based on concatenated elementary quantum codes. It also represents the smallest fully functional instance of the color code, opening a route towards topological FTQC.
published_date 2014-12-31T03:34:28Z
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score 11.012678

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