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Lead developer since 2020 (start of the project): [Gerald E. Fux](https://github.com/gefux)
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- Lead developer since 2020: [**Gerald E. Fux**](https://github.com/gefux) (<[email protected]>)
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- Co-lead developer since 2022: [**Piper Fowler-Wright**](https://github.com/piperfw) (<[email protected]>)
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Major code contributions
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------------------------
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**Version 0.5.0**
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-[Aidan Strathearn](https://github.com/aidanstrathearn): Gibbs state TEMPO [Chiu2022].
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-[Eoin P. Butler](https://github.com/ebutler414), [Eoin O'Neill](https://github.com/eoin-dp-oneill), and [Paul R. Eastham](https://github.com/paulreastham): Process tensor gradients and optimization [Fux2021, Butler2024]
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-[Ewen D.C. Lawrence](https://github.com/ewenlawrence) and [Peter Kirton](https://github.com/peterkirton/): Degeneracy trick in TEMPO and PT-TEMPO.
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-[Roosmarijn de Wit](https://github.com/rmadw): Multi-time system correlations.
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-[Piper Fowler-Wright](https://github.com/piperfw): TEMPO parameter tutorial and automatic estimation.
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**Version 0.4.0**
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-[Joel Beckles](https://github.com/JoelANB) and [Piper Fowler-Wright](https://github.com/piperfw): Extension of mean-field evolution to multiple types of system
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-[Joel Beckles](https://github.com/JoelANB) and [Piper Fowler-Wright](https://github.com/piperfw): Extension of mean-field evolution to multiple types of system.
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**Version 0.3.0**
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-[Piper Fowler-Wright](https://github.com/piperfw): Open quantum systems with mean-field evolution [FowlerWright2022]
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-[Piper Fowler-Wright](https://github.com/piperfw): Open quantum systems with mean-field evolution [FowlerWright2022].
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**Version 0.2.0**
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-[Gerald E. Fux](https://github.com/gefux): Chains of open quantum systems [Fux2022].
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- Dainius Kilda: Precursor code for chains of open quantum systems [Fux2022].
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The code in this project is based on ideas from the following publications:
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-**[Strathearn2017]** Strathearn et al., *Efficient real-time path integrals for non-Markovian spin-boson models*. [New J. Phys. 19(9), p.093009](http://dx.doi.org/10.1088/1367-2630/aa8744) (2017).
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-**[Strathearn2017]** Strathearn et al., *Efficient real-time path integrals for non-Markovian spin-boson models*. [New J. Phys. 19(9), p.093009](https://doi.org/10.1088/1367-2630/aa8744) (2017).
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-**[Strathearn2018]** Strathearn et al., *Efficient non-Markovian quantum dynamics using time-evolving matrix product operators*, [Nat. Commun. 9, 3322](https://doi.org/10.1038/s41467-018-05617-3)
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(2018).
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-**[Pollock2018]** Pollock et al., *Non-Markovian quantum processes: Complete framework and efficient characterization*, [Phys. Rev. A 97, 012127](http://dx.doi.org/10.1103/PhysRevA.97.012127) (2018).
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-**[Jorgensen2019]** Jørgensen and Pollock, *Exploiting the causal tensor network structure of quantum processes to efficiently simulate non-Markovian path integrals*, [Phys. Rev. Lett. 123, 240602](http://dx.doi.org/10.1103/PhysRevLett.123.240602) (2019).
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-**[Strathearn2019]** Strathearn, *Modelling Non-Markovian Quantum Systems Using Tensor Networks*, [Springer Theses](http://link.springer.com/10.1007/978-3-030-54975-6) (2020).
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-**[Fux2020]** Fux et al., *Efficient exploration of Hamiltonian parameter space for optimal control of non-Markovian open quantum systems*, [Phys. Rev. Lett. 126, 200401](https://link.aps.org/doi/10.1103/PhysRevLett.126.200401) (2021).
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-**[Gribben2021]** Gribben et al., *Using the Environment to Understand non-Markovian Open Quantum Systems*, [arXiv:20106.0412](http://arxiv.org/abs/2106.04212) (2021).
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-**[Gribben2022]** Gribben et al., *Exact dynamics of non-additive environments in non-Markovian open quantum systems*, [PRX Quantum 3, 10321](https://link.aps.org/doi/10.1103/PRXQuantum.3.010321) (2021).
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-**[Pollock2018]** Pollock et al., *Non-Markovian quantum processes: Complete framework and efficient characterization*, [Phys. Rev. A 97, 012127](https://doi.org/10.1103/PhysRevA.97.012127) (2018).
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-**[Jorgensen2019]** Jørgensen and Pollock, *Exploiting the causal tensor network structure of quantum processes to efficiently simulate non-Markovian path integrals*, [Phys. Rev. Lett. 123, 240602](https://doi.org/10.1103/PhysRevLett.123.240602) (2019).
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-**[Strathearn2019]** Strathearn, *Modelling Non-Markovian Quantum Systems Using Tensor Networks*, [Springer Theses](https://doi.org/10.1007/978-3-030-54975-6) (2020).
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-**[Fux2021]** Fux et al., *Efficient exploration of Hamiltonian parameter space for optimal control of non-Markovian open quantum systems*, [Phys. Rev. Lett. 126, 200401](https://doi.org/10.1103/PhysRevLett.126.200401) (2021).
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-**[Gribben2022a]** Gribben et al., *Exact dynamics of non-additive environments in non-Markovian open quantum systems*, [PRX Quantum 3, 10321](https://doi.org/10.1103/PRXQuantum.3.010321) (2022).
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-**[Gribben2022b]** Gribben et al., *Using the Environment to Understand non-Markovian Open Quantum Systems*, [Quantum, 6, 847](https://doi.org/10.22331/q-2022-10-25-847) (2022).
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-**[Chiu2022]** Chiu et al., *Numerical evaluation and robustness of the quantum mean-force Gibbs state*, [Phys. Rev. A 106, 012204](https://doi.org/10.1103/PhysRevA.106.012204}) (2022).
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-**[FowlerWright2022]** Fowler-Wright et al., *Efficient Many-Body Non-Markovian Dynamics of Organic Polaritons*, [Phys. Rev. Lett. 129, 173001](https://doi.org/10.1103/PhysRevLett.129.173001) (2022).
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-**[Fux2022]** Fux et al., *Thermalization of a spin chain strongly coupled to its environment*, [arXiv:2201.05529](http://arxiv.org/abs/2201.05529) (2022).
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-**[Fux2023]** Fux et al., *Tensor network simulation of chains of non-Markovian open quantum systems*, [Phys. Rev. Research 5, 033078 ](https://doi.org/10.1103/PhysRevResearch.5.033078}) (2023).
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-**[Butler2024]** Butler et al., *Optimizing Performance of Quantum Operations with Non-Markovian Decoherence: The Tortoise or the Hare?*, [Phys. Rev. Lett. 132, 060401 ](https://doi.org/10.1103/PhysRevLett.132.060401}) (2024).
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BibTeX:
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```
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@article{Butler2024,
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title = {Optimizing Performance of Quantum Operations with Non-Markovian Decoherence: The Tortoise or the Hare?},
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author = {Butler, Eoin P. and Fux, Gerald E. and Ortega-Taberner, Carlos and Lovett, Brendon W. and Keeling, Jonathan and Eastham, Paul R.},
title = {Exact Dynamics of Nonadditive Environments in Non-Markovian Open Quantum Systems},
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author = {Gribben, Dominic and Rouse, Dominic M. and Iles-Smith, Jake and Strathearn, Aidan and Maguire, Henry and Kirton, Peter and Nazir, Ahsan and Gauger, Erik M. and Lovett, Brendon W.},
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Citing the Code
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---------------
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-**[OQuPy]** The TEMPO collaboration, *OQuPy: A Python 3 package to efficiently compute non-Markovianopen quantum systems*, [GitHub](https://doi.org/10.5281/zenodo.4428316) (2020).
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-**[OQuPy]** The TEMPO collaboration, *OQuPy: A Python 3 package to efficiently compute non-Markovian open quantum systems*, [GitHub](https://doi.org/10.5281/zenodo.4428316) (2020).
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Please consider citing
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----------------------
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- TEMPO algorithm: **[Strathearn2018]**, **[Strathearn2019]**
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- Process tensor approach: **[Pollock2018]**, **[Jorgensen2019]**, **[Fux2021]**
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- Bath dynamics: **[Gribben2021]**
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- Multiple environments: **[Gribben2022]**
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- Chains (PT-TEBD): **[Fux2022]**
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- Process tensor approach: **[Pollock2018]**, **[Jorgensen2019]**
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