Leakage detection for a transmon-based surface code

Abstract Leakage outside of the qubit computational subspace, present in many leading experimental platforms, constitutes a threatening error for quantum error correction (QEC) for qubits. We develop a leakage-detection scheme via Hidden Markov models (HMMs) for transmon-based implementations of the...

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Autores principales: Boris Mihailov Varbanov, Francesco Battistel, Brian Michael Tarasinski, Viacheslav Petrovych Ostroukh, Thomas Eugene O’Brien, Leonardo DiCarlo, Barbara Maria Terhal
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Publicado: Nature Portfolio 2020
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Acceso en línea:https://doaj.org/article/ae09303afbb4483cbb08b5f96b9e808d
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spelling oai:doaj.org-article:ae09303afbb4483cbb08b5f96b9e808d2021-12-02T13:58:11ZLeakage detection for a transmon-based surface code10.1038/s41534-020-00330-w2056-6387https://doaj.org/article/ae09303afbb4483cbb08b5f96b9e808d2020-12-01T00:00:00Zhttps://doi.org/10.1038/s41534-020-00330-whttps://doaj.org/toc/2056-6387Abstract Leakage outside of the qubit computational subspace, present in many leading experimental platforms, constitutes a threatening error for quantum error correction (QEC) for qubits. We develop a leakage-detection scheme via Hidden Markov models (HMMs) for transmon-based implementations of the surface code. By performing realistic density-matrix simulations of the distance-3 surface code (Surface-17), we observe that leakage is sharply projected and leads to an increase in the surface-code defect probability of neighboring stabilizers. Together with the analog readout of the ancilla qubits, this increase enables the accurate detection of the time and location of leakage. We restore the logical error rate below the memory break-even point by post-selecting out leakage, discarding less than half of the data for the given noise parameters. Leakage detection via HMMs opens the prospect for near-term QEC demonstrations, targeted leakage reduction and leakage-aware decoding and is applicable to other experimental platforms.Boris Mihailov VarbanovFrancesco BattistelBrian Michael TarasinskiViacheslav Petrovych OstroukhThomas Eugene O’BrienLeonardo DiCarloBarbara Maria TerhalNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 6, Iss 1, Pp 1-13 (2020)
institution DOAJ
collection DOAJ
language EN
topic Physics
QC1-999
Electronic computers. Computer science
QA75.5-76.95
spellingShingle Physics
QC1-999
Electronic computers. Computer science
QA75.5-76.95
Boris Mihailov Varbanov
Francesco Battistel
Brian Michael Tarasinski
Viacheslav Petrovych Ostroukh
Thomas Eugene O’Brien
Leonardo DiCarlo
Barbara Maria Terhal
Leakage detection for a transmon-based surface code
description Abstract Leakage outside of the qubit computational subspace, present in many leading experimental platforms, constitutes a threatening error for quantum error correction (QEC) for qubits. We develop a leakage-detection scheme via Hidden Markov models (HMMs) for transmon-based implementations of the surface code. By performing realistic density-matrix simulations of the distance-3 surface code (Surface-17), we observe that leakage is sharply projected and leads to an increase in the surface-code defect probability of neighboring stabilizers. Together with the analog readout of the ancilla qubits, this increase enables the accurate detection of the time and location of leakage. We restore the logical error rate below the memory break-even point by post-selecting out leakage, discarding less than half of the data for the given noise parameters. Leakage detection via HMMs opens the prospect for near-term QEC demonstrations, targeted leakage reduction and leakage-aware decoding and is applicable to other experimental platforms.
format article
author Boris Mihailov Varbanov
Francesco Battistel
Brian Michael Tarasinski
Viacheslav Petrovych Ostroukh
Thomas Eugene O’Brien
Leonardo DiCarlo
Barbara Maria Terhal
author_facet Boris Mihailov Varbanov
Francesco Battistel
Brian Michael Tarasinski
Viacheslav Petrovych Ostroukh
Thomas Eugene O’Brien
Leonardo DiCarlo
Barbara Maria Terhal
author_sort Boris Mihailov Varbanov
title Leakage detection for a transmon-based surface code
title_short Leakage detection for a transmon-based surface code
title_full Leakage detection for a transmon-based surface code
title_fullStr Leakage detection for a transmon-based surface code
title_full_unstemmed Leakage detection for a transmon-based surface code
title_sort leakage detection for a transmon-based surface code
publisher Nature Portfolio
publishDate 2020
url https://doaj.org/article/ae09303afbb4483cbb08b5f96b9e808d
work_keys_str_mv AT borismihailovvarbanov leakagedetectionforatransmonbasedsurfacecode
AT francescobattistel leakagedetectionforatransmonbasedsurfacecode
AT brianmichaeltarasinski leakagedetectionforatransmonbasedsurfacecode
AT viacheslavpetrovychostroukh leakagedetectionforatransmonbasedsurfacecode
AT thomaseugeneobrien leakagedetectionforatransmonbasedsurfacecode
AT leonardodicarlo leakagedetectionforatransmonbasedsurfacecode
AT barbaramariaterhal leakagedetectionforatransmonbasedsurfacecode
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