Randomized benchmarking for non-Markovian noise
- URL: http://arxiv.org/abs/2107.05403v2
- Date: Tue, 14 Dec 2021 00:47:30 GMT
- Title: Randomized benchmarking for non-Markovian noise
- Authors: Pedro Figueroa-Romero, Kavan Modi, Thomas M. Stace, Min-Hsiu Hsieh
- Abstract summary: We combine the randomized benchmarking protocol with a framework describing non-Markovian quantum phenomena.
We show that one can identify non-Markovian features of the noise directly from the ASF through its deviations from the Markovian case.
Our methods are directly implementable and pave the pathway to better understanding correlated noise in quantum processors.
- Score: 11.164202369517058
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Estimating the features of noise is the first step in a chain of protocols
that will someday lead to fault tolerant quantum computers. The randomized
benchmarking (RB) protocol is designed with this exact mindset, estimating the
average strength of noise in a quantum processor with relative ease in
practice. However, RB, along with most other benchmarking and characterization
methods, is limited in scope because it assumes that the noise is temporally
uncorrelated (Markovian), which is increasingly evident not to be the case.
Here, we combine the RB protocol with a recent framework describing
non-Markovian quantum phenomena to derive a general analytical expression of
the average sequence fidelity (ASF) for non-Markovian RB with the Clifford
group. We show that one can identify non-Markovian features of the noise
directly from the ASF through its deviations from the Markovian case, proposing
a set of methods to collectively estimate these deviations, non-Markovian
memory time-scales, and diagnose (in)coherence of non-Markovian noise in an RB
experiment. Finally, we demonstrate the efficacy of our proposal by means of
several proof-of-principle examples. Our methods are directly implementable and
pave the pathway to better understanding correlated noise in quantum
processors.
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