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Exponential speedup in measuring out-of-time-ordered correlators and gate fidelity with a single bit of quantum information
S. Pg, N.D. Varikuti,
Published in Elsevier B.V.
Volume: 397
Out-of-time-ordered correlators (OTOC) are a quantifier of quantum information scrambling and are useful in characterizing quantum chaos. We propose an efficient quantum algorithm to measure OTOCs that provides an exponential speed-up over the best known classical algorithm provided the OTOC operator to be estimated admits an efficient gate decomposition. We also discuss a scheme to obtain information about the eigenvalue spectrum and the spectral density of OTOCs as well as an efficient algorithm to estimate gate fidelities. © 2021 Elsevier B.V.
About the journal
JournalData powered by TypesetPhysics Letters, Section A: General, Atomic and Solid State Physics
PublisherData powered by TypesetElsevier B.V.