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Title: Practical unitary simulator for non-markovian complex processes
Authors: Binder, Felix Christoph
Thompson, Jayne
Gu, Mile
Keywords: Quantum Channels
Quantum Algorithms
Issue Date: 2018
Source: Binder, F. C., Thompson, J., & Gu, M. (2018). Practical Unitary Simulator for Non-Markovian Complex Processes. Physical Review Letters, 120(24), 240502-.
Series/Report no.: Physical Review Letters
Abstract: Stochastic processes are as ubiquitous throughout the quantitative sciences as they are notorious for being difficult to simulate and predict. In this Letter, we propose a unitary quantum simulator for discrete-time stochastic processes which requires less internal memory than any classical analogue throughout the simulation. The simulator’s internal memory requirements equal those of the best previous quantum models. However, in contrast to previous models, it only requires a (small) finite-dimensional Hilbert space. Moreover, since the simulator operates unitarily throughout, it avoids any unnecessary information loss. We provide a stepwise construction for simulators for a large class of stochastic processes hence directly opening the possibility for experimental implementations with current platforms for quantum computation. The results are illustrated for an example process.
ISSN: 0031-9007
Rights: © 2018 American Physical Society. This paper was published in Physical Review Letters and is made available as an electronic reprint (preprint) with permission of American Physical Society. The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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