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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Nature Portfolio
2020
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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) |
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Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 |
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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 |
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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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