Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamics

The typical time-independent view of quantum error correction (QEC) codes hides significant freedom in the decomposition into circuits that are executable on hardware. Using the concept of detecting regions, we design time-dynamic QEC circuits directly instead of designing static QEC codes to decomp...

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Main Authors: Matt McEwen, Dave Bacon, Craig Gidney
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2023-11-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2023-11-07-1172/pdf/
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author Matt McEwen
Dave Bacon
Craig Gidney
author_facet Matt McEwen
Dave Bacon
Craig Gidney
author_sort Matt McEwen
collection DOAJ
description The typical time-independent view of quantum error correction (QEC) codes hides significant freedom in the decomposition into circuits that are executable on hardware. Using the concept of detecting regions, we design time-dynamic QEC circuits directly instead of designing static QEC codes to decompose into circuits. In particular, we improve on the standard circuit constructions for the surface code, presenting new circuits that can embed on a hexagonal grid instead of a square grid, that can use ISWAP gates instead of CNOT or CZ gates, that can exchange qubit data and measure roles, and that move logical patches around the physical qubit grid while executing. All these constructions use no additional entangling gate layers and display essentially the same logical performance, having teraquop footprints within 25% of the standard surface code circuit. We expect these circuits to be of great interest to quantum hardware engineers, because they achieve essentially the same logical performance as standard surface code circuits while relaxing demands on hardware.
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spelling doaj.art-1f2a759efe244113885f81c92facc0082023-11-07T14:44:53ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2023-11-017117210.22331/q-2023-11-07-117210.22331/q-2023-11-07-1172Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamicsMatt McEwenDave BaconCraig GidneyThe typical time-independent view of quantum error correction (QEC) codes hides significant freedom in the decomposition into circuits that are executable on hardware. Using the concept of detecting regions, we design time-dynamic QEC circuits directly instead of designing static QEC codes to decompose into circuits. In particular, we improve on the standard circuit constructions for the surface code, presenting new circuits that can embed on a hexagonal grid instead of a square grid, that can use ISWAP gates instead of CNOT or CZ gates, that can exchange qubit data and measure roles, and that move logical patches around the physical qubit grid while executing. All these constructions use no additional entangling gate layers and display essentially the same logical performance, having teraquop footprints within 25% of the standard surface code circuit. We expect these circuits to be of great interest to quantum hardware engineers, because they achieve essentially the same logical performance as standard surface code circuits while relaxing demands on hardware.https://quantum-journal.org/papers/q-2023-11-07-1172/pdf/
spellingShingle Matt McEwen
Dave Bacon
Craig Gidney
Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamics
Quantum
title Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamics
title_full Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamics
title_fullStr Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamics
title_full_unstemmed Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamics
title_short Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamics
title_sort relaxing hardware requirements for surface code circuits using time dynamics
url https://quantum-journal.org/papers/q-2023-11-07-1172/pdf/
work_keys_str_mv AT mattmcewen relaxinghardwarerequirementsforsurfacecodecircuitsusingtimedynamics
AT davebacon relaxinghardwarerequirementsforsurfacecodecircuitsusingtimedynamics
AT craiggidney relaxinghardwarerequirementsforsurfacecodecircuitsusingtimedynamics