Provably Optimal Control for Multiplicative Amplitude Control Noise

• URL: http://arxiv.org/abs/2205.06741v1
• Date: Fri, 13 May 2022 16:19:56 GMT
• Title: Provably Optimal Control for Multiplicative Amplitude Control Noise
• Authors: Colin J. Trout and Kevin Schultz and Paraj Titum and Leigh Norris and Gregory Quiroz and and B. David Clader
• Abstract summary: We show that we can map the problem of finding such a sequence to a convex optimization problem with guaranteed optimality. We also show that this technique is compatible with more general off-axis time-correlated dephasing noise. This approach will enable the development of optimal quantum logic gates in systems where noise due to amplitude drifts in the control is strong relative to dephasing.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We provide a technique to obtain provably optimal control sequences for quantum systems under the influence of time-correlated multiplicative control noise. Utilizing the circuit-level noise model introduced in [Phys. Rev. Research 3, 033229(2021)], we show that we can map the problem of finding such a sequence to a convex optimization problem with guaranteed optimality that follows from the convexity. We also show that this technique is compatible with more general off-axis time-correlated dephasing noise. In spite of losing provable optimality, numerically optimized control sequences under this scenario can still achieve nearly optimal performance when the control noise is strong relative to the dephasing contribution. This approach will enable the development of optimal quantum logic gates in systems where noise due to amplitude drifts in the control is strong relative to dephasing such as in ion-trap based quantum computers or in the limit of fast control.

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