Quantum Gates Robust to Secular Amplitude Drifts
- URL: http://arxiv.org/abs/2108.04726v2
- Date: Wed, 13 Oct 2021 01:43:35 GMT
- Title: Quantum Gates Robust to Secular Amplitude Drifts
- Authors: Qile David Su, Robijn Bruinsma, Wesley C. Campbell
- Abstract summary: We show that composite pulses that suppress all power-law drifts with $p leq n$ are also high-pass filters of filter order $n+1$ arXiv:1410.1624.
We find that there is a range of noise frequencies for which the $textPLA(n)$ sequences provide more error suppression than the traditional sequences.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum gates are typically vulnerable to imperfections in the classical
control fields applied to physical qubits to drive the gates. One approach to
reduce this source of error is to break the gate into parts, known as composite
pulses (CPs), that typically leverage the constancy of the error over time to
mitigate its impact on gate fidelity. Here we extend this technique to suppress
secular drifts in Rabi frequency by regarding them as sums of power-law drifts
whose first-order effects on over- or under-rotation of the state vector add
linearly. Power-law drifts have the form $t^p$ where $t$ is time and the
constant $p$ is its power. We show that composite pulses that suppress all
power-law drifts with $p \leq n$ are also high-pass filters of filter order
$n+1$ arXiv:1410.1624. We present sequences that satisfy our proposed power-law
amplitude criteria, $\text{PLA}(n)$, obtained with this technique, and compare
their simulated performance under time-dependent amplitude errors to some
traditional composite pulse sequences. We find that there is a range of noise
frequencies for which the $\text{PLA}(n)$ sequences provide more error
suppression than the traditional sequences, but in the low frequency limit,
non-linear effects become more important for gate fidelity than frequency
roll-off. As a result, the previously known $F_1$ sequence, which is one of the
two solutions to the $\text{PLA}(1)$ criteria and furnishes suppression of both
linear secular drift and the first order nonlinear effects, is a sharper noise
filter than any of the other $\text{PLA}(n)$ sequences in the low frequency
limit.
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