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Bibliography

The code in this project is based on ideas from the following publications:

  • [Strathearn2017] Strathearn et al., Efficient real-time path integrals for non-Markovian spin-boson models. New J. Phys. 19(9), p.093009 (2017).
  • [Strathearn2018] Strathearn et al., Efficient non-Markovian quantum dynamics using time-evolving matrix product operators, Nat. Commun. 9, 3322 (2018).
  • [Pollock2018] Pollock et al., Non-Markovian quantum processes: Complete framework and efficient characterization, Phys. Rev. A 97, 012127 (2018).
  • [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 (2019).
  • [Strathearn2020] Strathearn, Modelling Non-Markovian Quantum Systems Using Tensor Networks, Springer Theses (2020).
  • [Fux2021] Fux et al., Efficient exploration of Hamiltonian parameter space for optimal control of non-Markovian open quantum systems, Phys. Rev. Lett. 126, 200401 (2021).
  • [Gribben2022a] Gribben et al., Exact dynamics of non-additive environments in non-Markovian open quantum systems, PRX Quantum 3, 10321 (2022).
  • [Gribben2022b] Gribben et al., Using the Environment to Understand non-Markovian Open Quantum Systems, Quantum, 6, 847 (2022).
  • [Chiu2022] Chiu et al., Numerical evaluation and robustness of the quantum mean-force Gibbs state, Phys. Rev. A 106, 012204 (2022).
  • [FowlerWright2022] Fowler-Wright et al., Efficient Many-Body Non-Markovian Dynamics of Organic Polaritons, Phys. Rev. Lett. 129, 173001 (2022).
  • [Fux2023] Fux et al., Tensor network simulation of chains of non-Markovian open quantum systems, Phys. Rev. Research 5, 033078 (2023).
  • [Butler2024] Butler et al., Optimizing Performance of Quantum Operations with Non-Markovian Decoherence: The Tortoise or the Hare?, Phys. Rev. Lett. 132, 060401 (2024).

BibTeX:

@article{Butler2024,
  title = {Optimizing Performance of Quantum Operations with Non-Markovian Decoherence: The Tortoise or the Hare?},
  author = {Butler, Eoin P. and Fux, Gerald E. and Ortega-Taberner, Carlos and Lovett, Brendon W. and Keeling, Jonathan and Eastham, Paul R.},
  journal = {Phys. Rev. Lett.},
  volume = {132},
  issue = {6},
  pages = {060401},
  numpages = {7},
  year = {2024},
  month = {Feb},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevLett.132.060401},
  url = {https://doi.org/10.1103/PhysRevLett.132.060401}
}

@article{Chiu2022,
  title = {Numerical evaluation and robustness of the quantum mean-force Gibbs state},
  author = {Chiu, Yiu-Fung and Strathearn, Aidan and Keeling, Jonathan},
  journal = {Phys. Rev. A},
  volume = {106},
  issue = {1},
  pages = {012204},
  numpages = {8},
  year = {2022},
  month = {Jul},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevA.106.012204},
  url = {https://doi.org/10.1103/PhysRevA.106.012204}
}

@article{FowlerWright2022,
  title = {Efficient Many-Body Non-Markovian Dynamics of Organic Polaritons},
  author = {Fowler-Wright, Piper and Lovett, Brendon W. and Keeling, Jonathan},
  journal = {Phys. Rev. Lett.},
  volume = {129},
  issue = {17},
  pages = {173001},
  numpages = {7},
  year = {2022},
  month = {October},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevLett.129.173001},
  url = {https://doi.org/10.1103/PhysRevLett.129.173001}
}

@article{Fux2021,
  title = {Efficient Exploration of Hamiltonian Parameter Space for Optimal Control of Non-Markovian Open Quantum Systems},
  author = {Fux, Gerald E. and Butler, Eoin P. and Eastham, Paul R. and Lovett, Brendon W. and Keeling, Jonathan},
  journal = {Phys. Rev. Lett.},
  volume = {126},
  issue = {20},
  pages = {200401},
  numpages = {6},
  year = {2021},
  month = {May},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevLett.126.200401},
  url = {https://doi.org/10.1103/PhysRevLett.126.200401}
}

@article{Fux2023,
  title = {Tensor network simulation of chains of non-Markovian open quantum systems},
  author = {Fux, Gerald E. and Kilda, Dainius and Lovett, Brendon W. and Keeling, Jonathan},
  journal = {Phys. Rev. Res.},
  volume = {5},
  issue = {3},
  pages = {033078},
  numpages = {14},
  year = {2023},
  month = {Aug},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevResearch.5.033078},
  url = {https://doi.org/10.1103/PhysRevResearch.5.033078}
}

@article{Gribben2022a,
  title = {Exact Dynamics of Nonadditive Environments in Non-Markovian Open Quantum Systems},
  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.},
  journal = {PRX Quantum},
  volume = {3},
  issue = {1},
  pages = {010321},
  numpages = {18},
  year = {2022},
  month = {Feb},
  publisher = {American Physical Society},
  doi = {10.1103/PRXQuantum.3.010321},
  url = {https://doi.org/10.1103/PRXQuantum.3.010321}
}

@article{Gribben2022b,
  doi = {10.22331/q-2022-10-25-847},
  url = {https://doi.org/10.22331/q-2022-10-25-847},
  title = {Using the {E}nvironment to {U}nderstand non-{M}arkovian {O}pen {Q}uantum {S}ystems},
  author = {Gribben, Dominic and Strathearn, Aidan and Fux, Gerald E. and Kirton, Peter and Lovett, Brendon W.},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {6},
  pages = {847},
  month = oct,
  year = {2022}
}

@article{Jorgensen2019,
  title = {Exploiting the Causal Tensor Network Structure of Quantum
           Processes to Efficiently Simulate Non-Markovian Path Integrals},
  author = {J\o{}rgensen, Mathias R. and Pollock, Felix A.},
  journal = {Phys. Rev. Lett.},
  volume = {123},
  issue = {24},
  pages = {240602},
  numpages = {7},
  year = {2019},
  month = {Dec},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevLett.123.240602},
  url = {https://doi.org/10.1103/PhysRevLett.123.240602}
}

@misc{OQuPy-code-v0.5.0,
  author={{The TEMPO collaboration}},
  title={{OQuPy: A Python package to efficiently simulate non-Markovian open quantum systems with process tensors.}},
  year=2024,
  publisher={GitHub},
  doi={10.5281/zenodo.12517767}
  url={https://github.com/tempoCollaboration/OQuPy}
}

@misc{OQuPy-paper,
  title={OQuPy: A Python package to efficiently simulate non-Markovian open quantum systems with process tensors}, 
  author={Gerald E. Fux and Piper Fowler-Wright and Joel Beckles and Eoin P. Butler and Paul R. Eastham and Dominic Gribben and Jonathan Keeling and Dainius Kilda and Peter Kirton and Ewen D. C. Lawrence and Brendon W. Lovett and Eoin O'Neill and Aidan Strathearn and Roosmarijn de Wit},
  year={2024},
  eprint={2406.16650},
  archivePrefix={arXiv},
  doi = {https://doi.org/10.48550/arXiv.2406.16650}
}

@article{Pollock2018,
  author = {Pollock, Felix A. and Rodr{\'{i}}guez-Rosario, C{\'{e}}sar and
            Frauenheim, Thomas and Paternostro, Mauro and Modi, Kavan},
  doi = {10.1103/PhysRevA.97.012127},
  issn = {24699934},
  journal = {Phys. Rev. A},
  month = {jan},
  number = {1},
  pages = {012127},
  title = {{Non-Markovian quantum processes: Complete framework and
            efficient characterization}},
  url = {https://doi.org/10.1103/PhysRevA.97.012127},
  volume = {97},
  year = {2018}
}

@article{Strathearn2017,
	doi = {10.1088/1367-2630/aa8744},
	url = {https://doi.org/10.1088/1367-2630/aa8744},
	year = 2017,
	month = {sep},
	publisher = {{IOP} Publishing},
	volume = {19},
	number = {9},
	pages = {093009},
	author = {A Strathearn and B W Lovett and P Kirton},
	title = {Efficient real-time path integrals for non-Markovian spin-boson models},
	journal = {New Journal of Physics},
}

@article{Strathearn2018,
  author = {Strathearn, A. and Kirton, P. and Kilda, D. and Keeling, J. and
            Lovett, B. W.},
  doi = {10.1038/s41467-018-05617-3},
  issn = {20411723},
  journal = {Nat. Commun.},
  month = {dec},
  number = {1},
  pages = {3322},
  pmid = {30127490},
  title = {{Efficient non-Markovian quantum dynamics using time-evolving
            matrix product operators}},
  url = {https://doi.org/10.1038/s41467-018-05617-3},
  volume = {9},
  year = {2018}
}

@book{Strathearn2020,
  address = {Cham},
  author = {Strathearn, Aidan},
  doi = {10.1007/978-3-030-54975-6},
  isbn = {978-3-030-54974-9},
  publisher = {Springer International Publishing},
  series = {Springer Theses},
  title = {{Modelling Non-Markovian Quantum Systems Using Tensor Networks}},
  url = {https://doi.org/10.1007/978-3-030-54975-6},
  year = {2020}
}