Quantum process identification: a method for characterizing non-markovian quantum dynamics
Abstract
Established methods for characterizing quantum information processes do not capture non-Markovian (history-dependent) behaviors that occur in real systems. These methods model a quantum process as a fixed map on the state space of a predefined system of interest. Such a map averages over the system's environment, which may retain some effect of its past interactions with the system and thus have a history-dependent influence on the system. Although the theory of non-Markovian quantum dynamics is currently an active area of research, a systematic characterization method based on a general representation of non-Markovian dynamics has been lacking. In this article we present a systematic method for experimentally characterizing the dynamics of open quantum systems. Our method, which we call quantum process identification (QPI), is based on a general theoretical framework which relates the (non-Markovian) evolution of a system over an extended period of time to a time-local (Markovian) process involving the system and an effective environment. In practical terms, QPI uses time-resolved tomographic measurements of a quantum system to construct a dynamical model with as many dynamical variables as are necessary to reproduce the evolution of the system. Through numerical simulations, we demonstrate that QPI can be used to characterize qubitmore »
- Authors:
-
[1];
[1]
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Quantum Information Science Group
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1559741
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- New Journal of Physics
- Additional Journal Information:
- Journal Volume: 21; Journal Issue: 8; Journal ID: ISSN 1367-2630
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Bennink, Ryan S., and Lougovski, Pavel. Quantum process identification: a method for characterizing non-markovian quantum dynamics. United States: N. p., 2019.
Web. doi:10.1088/1367-2630/ab3598.
Bennink, Ryan S., & Lougovski, Pavel. Quantum process identification: a method for characterizing non-markovian quantum dynamics. United States. https://doi.org/10.1088/1367-2630/ab3598
Bennink, Ryan S., and Lougovski, Pavel. Thu .
"Quantum process identification: a method for characterizing non-markovian quantum dynamics". United States. https://doi.org/10.1088/1367-2630/ab3598. https://www.osti.gov/servlets/purl/1559741.
@article{osti_1559741,
title = {Quantum process identification: a method for characterizing non-markovian quantum dynamics},
author = {Bennink, Ryan S. and Lougovski, Pavel},
abstractNote = {Established methods for characterizing quantum information processes do not capture non-Markovian (history-dependent) behaviors that occur in real systems. These methods model a quantum process as a fixed map on the state space of a predefined system of interest. Such a map averages over the system's environment, which may retain some effect of its past interactions with the system and thus have a history-dependent influence on the system. Although the theory of non-Markovian quantum dynamics is currently an active area of research, a systematic characterization method based on a general representation of non-Markovian dynamics has been lacking. In this article we present a systematic method for experimentally characterizing the dynamics of open quantum systems. Our method, which we call quantum process identification (QPI), is based on a general theoretical framework which relates the (non-Markovian) evolution of a system over an extended period of time to a time-local (Markovian) process involving the system and an effective environment. In practical terms, QPI uses time-resolved tomographic measurements of a quantum system to construct a dynamical model with as many dynamical variables as are necessary to reproduce the evolution of the system. Through numerical simulations, we demonstrate that QPI can be used to characterize qubit operations with non-Markovian errors arising from realistic dynamics including control drift, coherent leakage, and coherent interaction with material impurities.},
doi = {10.1088/1367-2630/ab3598},
journal = {New Journal of Physics},
number = 8,
volume = 21,
place = {United States},
year = {Thu Jul 25 00:00:00 EDT 2019},
month = {Thu Jul 25 00:00:00 EDT 2019}
}
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