Stabilizer Slicing: Coherent Error Cancellations in Low-Density Parity-Check Stabilizer Codes.
Abstract
Coherent errors are a dominant noise process in many quantum computing architectures.
Unlike stochastic errors, these errors can combine constructively and grow into highly
detrimental overrotations. To combat this, we introduce a simple technique for suppressing
systematic coherent errors in low-density parity-check stabilizer codes, which we
call stabilizer slicing. The essential idea is to slice low-weight stabilizers into
two equally weighted Pauli operators and then apply them by rotating in opposite directions,
causing their overrotations to interfere destructively on the logical subspace. With
access to native gates generated by three-body Hamiltonians, we can completely eliminate
purely coherent overrotation errors, and for overrotation noise of 0.99 unitarity
we achieve a 135-fold improvement in the logical error rate of surface-17. For more
conventional two-body ion trap gates, we observe an 89-fold improvement for Bacon-Shor-13
with purely coherent errors which should be testable in near-term fault-tolerance
experiments. This second scheme takes advantage of the prepared gauge degrees of freedom,
and to our knowledge is the first example in which the state of the gauge directly
affects the robustness of a code's memory. This Letter demonstrates that coherent
noise is preferable to stochastic noise within certain code and gate implementations
when the coherence is utilized effectively.
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https://hdl.handle.net/10161/17910Published Version (Please cite this version)
10.1103/physrevlett.121.250502Publication Info
Debroy, Dripto M; Li, Muyuan; Newman, Michael; & Brown, Kenneth R (2018). Stabilizer Slicing: Coherent Error Cancellations in Low-Density Parity-Check Stabilizer
Codes. Physical review letters, 121(25). pp. 250502. 10.1103/physrevlett.121.250502. Retrieved from https://hdl.handle.net/10161/17910.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Show full item recordScholars@Duke
Kenneth R Brown
Michael J. Fitzpatrick Distinguished Professor of Engineering
Prof. Brown's research interest is the control of quantum systems for both understanding
the natural world and developing new technologies. His current research areas are
the development of robust quantum computers and the study of molecular properties
at cold and ultracold temperatures.

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