Capturing non-Markovian dynamics on near-term quantum computers

Head-Marsden, Kade; Krastanov, Stefan; Mazziotti, David A.; Narang, Prineha

doi:10.1103/PhysRevResearch.3.013182

Title: Capturing non-Markovian dynamics on near-term quantum computers

Journal Article · Thu Feb 25 00:00:00 EST 2021 · Physical Review Research

DOI:https://doi.org/10.1103/PhysRevResearch.3.013182· OSTI ID:1767356

; Krastanov, Stefan;

;

With the rapid progress in quantum hardware, there has been an increased interest in new quantum algorithms to describe complex many-body systems searching for the still-elusive goal of “useful quantum advantage.” Surprisingly, quantum algorithms for the treatment of open quantum systems (OQSs) have remained underexplored, in part due to the inherent challenges of mapping non-unitary evolution into the framework of unitary gates. Evolving an open system unitarily necessitates dilation into a new effective system to incorporate critical environmental degrees of freedom. In this context, we present and validate a new quantum algorithm to treat non-Markovian dynamics in OQSs built on the ensemble of Lindblad's trajectories approach, invoking the Sz.-Nagy dilation theorem. Here we demonstrate our algorithm on the Jaynes-Cummings model in the strong-coupling and detuned regimes, relevant in quantum optics and driven quantum system studies. This algorithm, a key step towards generalized modeling of non-Markovian dynamics on a noisy-quantum device, captures a broad class of dynamics and opens up a new direction in OQS problems.

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Research Organization:: Univ. of Chicago, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); US Army Research Office (ARO); Gordon and Betty Moore Foundation

Grant/Contract Number:: SC0019215; FWP ERKCK47; CHE-1152425; DMR-2037783; W911NF-16-1-015; GBMF8048

OSTI ID:: 1767356

Alternate ID(s):: OSTI ID: 1772884

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Vol. 3 Journal Issue: 1; ISSN 2643-1564

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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