Designing dynamically corrected gates robust to multiple noise sources
using geometric space curves
- URL: http://arxiv.org/abs/2211.13248v1
- Date: Wed, 23 Nov 2022 19:00:04 GMT
- Title: Designing dynamically corrected gates robust to multiple noise sources
using geometric space curves
- Authors: Hunter T. Nelson, Evangelos Piliouras, Kyle Connelly, Edwin Barnes
- Abstract summary: Noise-induced gate errors remain one of the main obstacles to realizing a broad range of quantum information technologies.
We present a general framework for designing control fields that simultaneous suppress both noise in the fields themselves as well as transverse dephasing noise.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Noise-induced gate errors remain one of the main obstacles to realizing a
broad range of quantum information technologies. Dynamical error suppression
using carefully designed control schemes is critical for overcoming this
challenge. Such schemes must be able to correct against multiple noise sources
simultaneously afflicting a qubit in order to reach error correction
thresholds. Here, we present a general framework for designing control fields
that simultaneous suppress both noise in the fields themselves as well as
transverse dephasing noise. Using the recently developed Space Curve Quantum
Control formalism, in which robust quantum evolution is mapped to closed
geometric curves in a multidimensional Euclidean space, we derive necessary and
sufficient conditions that guarantee the cancellation of both types of noise to
leading order. We present several techniques for solving these conditions and
provide explicit examples of error-resistant control fields. Our work also
sheds light on the relation between holonomic evolution and the suppression of
control field errors.
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