Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/141845
Title: Optimal stochastic modeling with unitary quantum dynamics
Authors: Liu, Qing
Elliott, Thomas J.
Binder, Felix C.
Di Franco, Carlo
Gu, Mile
Keywords: Science::Physics::Atomic physics::Quantum theory
Issue Date: 2019
Source: Liu, Q., Elliott, T. J., Binder, F. C., Di Franco, C., & Gu, M. (2019). Optimal stochastic modeling with unitary quantum dynamics. Physical Review A, 99(6), 062110-. doi:10.1103/PhysRevA.99.062110
Journal: Physical Review A
Abstract: Isolating past information relevant for future prediction is central to quantitative science. Quantum models offer a promising approach, enabling statistically faithful modeling while using less past information than any classical counterpart. Here we introduce a class of phase-enhanced quantum models, representing the most general means of simulating a stochastic process unitarily in causal order. The resulting constructions surpass previous state-of-art methods—both in reducing the information they need to store about the past and in the minimal memory dimension they require to store this information. Moreover, these two features are generally competing factors in optimization—leading to an ambiguity in optimal modeling that is unique to the quantum regime. Our results simultaneously offer quantum advantages for stochastic simulation and illustrate further qualitative differences between classical and quantum notions of complexity.
URI: https://hdl.handle.net/10356/141845
ISSN: 2469-9926
DOI: 10.1103/PhysRevA.99.062110
Rights: © 2019 American Physical Society. All rights reserved. This paper was published in Physical Review A and is made available with permission of American Physical Society.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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