Low-overhead fault-tolerant quantum computation by gauging logical operators
- URL: http://arxiv.org/abs/2410.02213v1
- Date: Thu, 3 Oct 2024 05:04:12 GMT
- Title: Low-overhead fault-tolerant quantum computation by gauging logical operators
- Authors: Dominic J. Williamson, Theodore J. Yoder,
- Abstract summary: Recent progress has uncovered quantum error-correcting codes with sparse connectivity requirements and constant qubit overhead.
Existing schemes for fault-tolerant logical measurement do not always achieve low qubit overhead.
We present a low-overhead method to implement fault-tolerant logical measurement in a quantum error-correcting code by treating the logical operator as a symmetry and gauging it.
- Score: 0.7673339435080445
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum computation must be performed in a fault-tolerant manner to be realizable in practice. Recent progress has uncovered quantum error-correcting codes with sparse connectivity requirements and constant qubit overhead. Existing schemes for fault-tolerant logical measurement do not always achieve low qubit overhead. Here we present a low-overhead method to implement fault-tolerant logical measurement in a quantum error-correcting code by treating the logical operator as a symmetry and gauging it. The gauging measurement procedure introduces a high degree of flexibility that can be leveraged to achieve a qubit overhead that is linear in the weight of the operator being measured up to a polylogarithmic factor. This flexibility also allows the procedure to be adapted to arbitrary quantum codes. Our results provide a new, more efficient, approach to performing fault-tolerant quantum computation, making it more tractable for near-term implementation.
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