Stabilizer Slicing: Coherent Error Cancellations in LDPC Codes
Dripto Debroy, Muyuan Li, Michael Newman, Kenneth R. Brown

TL;DR
This paper introduces stabilizer slicing, a technique that suppresses coherent errors in LDPC stabilizer codes by destructive interference, significantly reducing logical error rates and enhancing fault-tolerance in quantum computing.
Contribution
The paper presents a novel stabilizer slicing method that leverages destructive interference of overrotations to suppress coherent errors in LDPC codes, demonstrating substantial error rate improvements.
Findings
Complete elimination of coherent overrotation errors with 3-body Hamiltonian gates.
135-fold reduction in logical error rate for Surface-17 with pure coherent errors.
89-fold improvement in Bacon-Shor-13 with conventional ion trap gates.
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 (LDPC) 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 3-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 2-body ion trap…
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Taxonomy
TopicsError Correcting Code Techniques · Advanced Wireless Communication Techniques · Power Line Communications and Noise
