Robust optimal control for a systematic error in the control amplitude of transmon qubits

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Hauptverfasser: Cykiert, Max, Ginossar, Eran
Format: Preprint
Veröffentlicht: 2024
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author Cykiert, Max
Ginossar, Eran
author_facet Cykiert, Max
Ginossar, Eran
contents In the era of Noisy Intermediate-Scale Quantum computing as well as in error correcting circuits, physical qubits coherence time and high fidelity gates are essential to the functioning of quantum computers. In this paper, we demonstrate theoretically and experimentally, that pulses designed by optimization can be used to counteract the loss of fidelity due to a control amplitude error of the transmon qubit. We analyze the control landscape obtained by robust optimal control and find it to depend on the error range, namely the solutions can get trapped in the basin of attraction of sub-optimal solutions. Robust controls are found for different error values and are compared to an incoherent loss of fidelity mechanism due to a finite relaxation rate. The controls are tested on the IBMQ's qubit and found to demonstrate resilience against significant $\sim 10\%$ errors.
format Preprint
id arxiv_https___arxiv_org_abs_2408_13554
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Robust optimal control for a systematic error in the control amplitude of transmon qubits
Cykiert, Max
Ginossar, Eran
Quantum Physics
In the era of Noisy Intermediate-Scale Quantum computing as well as in error correcting circuits, physical qubits coherence time and high fidelity gates are essential to the functioning of quantum computers. In this paper, we demonstrate theoretically and experimentally, that pulses designed by optimization can be used to counteract the loss of fidelity due to a control amplitude error of the transmon qubit. We analyze the control landscape obtained by robust optimal control and find it to depend on the error range, namely the solutions can get trapped in the basin of attraction of sub-optimal solutions. Robust controls are found for different error values and are compared to an incoherent loss of fidelity mechanism due to a finite relaxation rate. The controls are tested on the IBMQ's qubit and found to demonstrate resilience against significant $\sim 10\%$ errors.
title Robust optimal control for a systematic error in the control amplitude of transmon qubits
topic Quantum Physics
url https://arxiv.org/abs/2408.13554