QuTiP: An open-source Python framework for the dynamics of open quantum systems

J. R. Johansson; P. D. Nation; Franco Nori

doi:10.1016/j.cpc.2012.02.021

QuTiP: An open-source Python framework for the dynamics of open quantum systems

J. R. Johansson, P. D. Nation, Franco Nori

Research output: Contribution to journal › Article › peer-review

1306 Citations (Scopus)

Abstract

We present an object-oriented open-source framework for solving the dynamics of open quantum systems written in Python. Arbitrary Hamiltonians, including time-dependent systems, may be built up from operators and states defined by a quantum object class, and then passed on to a choice of master equation or Monte Carlo solvers. We give an overview of the basic structure for the framework before detailing the numerical simulation of open system dynamics. Several examples are given to illustrate the build up to a complete calculation. Finally, we measure the performance of our library against that of current implementations. The framework described here is particularly well suited to the fields of quantum optics, superconducting circuit devices, nanomechanics, and trapped ions, while also being ideal for use in classroom instruction. Program summary: Program title: QuTiP: The Quantum Toolbox in Python Catalogue identifier: AEMB-v1-0 Program summary URL: http://cpc.cs.qub. ac.uk/summaries/AEMB-v1-0.html Program obtainable from: CPC Program Library, Queens University, Belfast, N. Ireland Licensing provisions: GNU General Public License, version 3 No. of lines in distributed program, including test data, etc.: 16 482 No. of bytes in distributed program, including test data, etc.: 213 438 Distribution format: tar.gz Programming language: Python Computer: i386, x86-64 Operating system: Linux, Mac OSX, Windows RAM: 2+ Gigabytes Classification: 7 External routines: NumPy (http://numpy.scipy.org/), SciPy (http://www.scipy.org/), Matplotlib (http://matplotlib.sourceforge.net/) Nature of problem: Dynamics of open quantum systems. Solution method: Numerical solutions to Lindblad master equation or Monte Carlo wave function method. Restrictions: Problems must meet the criteria for using the master equation in Lindblad form. Running time: A few seconds up to several tens of minutes, depending on size of underlying Hilbert space.

Original language	English
Pages (from-to)	1760-1772
Number of pages	13
Journal	Computer Physics Communications
Volume	183
Issue number	8
DOIs	https://doi.org/10.1016/j.cpc.2012.02.021
Publication status	Published - 2012 Aug

Bibliographical note

Funding Information:
J.R.J. and P.D.N. were supported by Japanese Society for the Promotion of Science (JSPS) Foreign Postdoctoral Fellowship No. P11501 and P11202 , respectively. P.D.N. also acknowledges support from Kakenhi grant No. 2301202 , and F.N. acknowledges partial support from the LPS , NSA , ARO , DARPA , AFOSR , National Science Foundation (NSF) grant No. 0726909 , Grant-in-Aid for Scientific Research (S) , MEXT Kakenhi on Quantum Cybernetics , and the JSPS-FIRST program .

Keywords

Lindblad master equation
Open quantum systems
Python
Quantum Monte Carlo

ASJC Scopus subject areas

Hardware and Architecture
General Physics and Astronomy

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10.1016/j.cpc.2012.02.021

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@article{4e6cb16b43c3429ba52dabc4ec03f540,

title = "QuTiP: An open-source Python framework for the dynamics of open quantum systems",

abstract = "We present an object-oriented open-source framework for solving the dynamics of open quantum systems written in Python. Arbitrary Hamiltonians, including time-dependent systems, may be built up from operators and states defined by a quantum object class, and then passed on to a choice of master equation or Monte Carlo solvers. We give an overview of the basic structure for the framework before detailing the numerical simulation of open system dynamics. Several examples are given to illustrate the build up to a complete calculation. Finally, we measure the performance of our library against that of current implementations. The framework described here is particularly well suited to the fields of quantum optics, superconducting circuit devices, nanomechanics, and trapped ions, while also being ideal for use in classroom instruction. Program summary: Program title: QuTiP: The Quantum Toolbox in Python Catalogue identifier: AEMB-v1-0 Program summary URL: http://cpc.cs.qub. ac.uk/summaries/AEMB-v1-0.html Program obtainable from: CPC Program Library, Queens University, Belfast, N. Ireland Licensing provisions: GNU General Public License, version 3 No. of lines in distributed program, including test data, etc.: 16 482 No. of bytes in distributed program, including test data, etc.: 213 438 Distribution format: tar.gz Programming language: Python Computer: i386, x86-64 Operating system: Linux, Mac OSX, Windows RAM: 2+ Gigabytes Classification: 7 External routines: NumPy (http://numpy.scipy.org/), SciPy (http://www.scipy.org/), Matplotlib (http://matplotlib.sourceforge.net/) Nature of problem: Dynamics of open quantum systems. Solution method: Numerical solutions to Lindblad master equation or Monte Carlo wave function method. Restrictions: Problems must meet the criteria for using the master equation in Lindblad form. Running time: A few seconds up to several tens of minutes, depending on size of underlying Hilbert space.",

keywords = "Lindblad master equation, Open quantum systems, Python, Quantum Monte Carlo",

author = "Johansson, {J. R.} and Nation, {P. D.} and Franco Nori",

note = "Funding Information: J.R.J. and P.D.N. were supported by Japanese Society for the Promotion of Science (JSPS) Foreign Postdoctoral Fellowship No. P11501 and P11202 , respectively. P.D.N. also acknowledges support from Kakenhi grant No. 2301202 , and F.N. acknowledges partial support from the LPS , NSA , ARO , DARPA , AFOSR , National Science Foundation (NSF) grant No. 0726909 , Grant-in-Aid for Scientific Research (S) , MEXT Kakenhi on Quantum Cybernetics , and the JSPS-FIRST program . ",

year = "2012",

month = aug,

doi = "10.1016/j.cpc.2012.02.021",

language = "English",

volume = "183",

pages = "1760--1772",

journal = "Computer Physics Communications",

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AU - Nori, Franco

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QuTiP: An open-source Python framework for the dynamics of open quantum systems

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Bibliographical note

Keywords

ASJC Scopus subject areas

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