references.bib

@article{mackay2004sparse,
  title={Sparse-graph codes for quantum error correction},
  author={MacKay, David JC and Mitchison, Graeme and McFadden, Paul L},
  journal={IEEE Transactions on Information Theory},
  volume={50},
  number={10},
  pages={2315--2330},
  year={2004},
  publisher={IEEE},
  doi={10.1109/TIT.2004.834737}
}

@article{calderbank1998quantum,
  title={Quantum error correction via codes over GF (4)},
  author={Calderbank, A Robert and Rains, Eric M and Shor, PM and Sloane, Neil JA},
  journal={IEEE Transactions on Information Theory},
  volume={44},
  number={4},
  pages={1369--1387},
  year={1998},
  publisher={IEEE},
  doi={10.1109/18.681315}
}

@inproceedings{steane2007tutorial,
  title={A tutorial on quantum error correction},
  author={Steane, Andrew M},
  booktitle={PROCEEDINGS-INTERNATIONAL SCHOOL OF PHYSICS ENRICO FERMI},
  volume={162},
  pages={1},
  year={2007},
  organization={IOS Press; Ohmsha; 1999},
  doi={10.3254/978-1-61499-018-5-1}
}

@article{wilde2009logical,
  title={Logical operators of quantum codes},
  author={Wilde, Mark M},
  journal={Physical Review A},
  volume={79},
  number={6},
  pages={062322},
  year={2009},
  publisher={APS},
  doi={10.1103/PhysRevA.79.062322}
}

% The basis of the tableaux algorithm

@inproceedings{gottesman1998heisenberg,
  title={The Heisenberg representation of quantum computers},
  author={Gottesman, Daniel},
  booktitle={International Conference on Group Theoretic Methods in Physics},
  year={1998},
  organization={Citeseer},
  url={https://arxiv.org/abs/quant-ph/9807006}
}

@article{aaronson2004improved,
  title={Improved simulation of stabilizer circuits},
  author={Aaronson, Scott and Gottesman, Daniel},
  journal={Physical Review A},
  volume={70},
  number={5},
  pages={052328},
  year={2004},
  publisher={APS},
  doi={10.1103/PhysRevA.70.052328}
}

% Random Stabilizers

@article{koenig2014efficiently,
  title={How to efficiently select an arbitrary Clifford group element},
  author={Koenig, Robert and Smolin, John A},
  journal={Journal of Mathematical Physics},
  volume={55},
  number={12},
  pages={122202},
  year={2014},
  publisher={AIP Publishing},
  doi={10.1063/1.4903507}
}

@article{bravyi2020hadamard,
  title={Hadamard-free circuits expose the structure of the Clifford group},
  author={Bravyi, Sergey and Maslov, Dmitri},
  journal={IEEE Transactions on Information Theory},
  volume={67},
  number={7},
  pages={4546--4563},
  year={2021},
  publisher={IEEE},
  doi={10.1109/TIT.2021.3081415}
}

@inproceedings{berg2020simple,
  title={A simple method for sampling random Clifford operators},
  author={Van Den Berg, Ewout},
  booktitle={2021 IEEE International Conference on Quantum Computing and Engineering (QCE)},
  pages={54--59},
  year={2021},
  organization={IEEE},
  doi={10.1109/QCE52317.2021.00021}
}

@article{li2019measurement,
  title={Measurement-driven entanglement transition in hybrid quantum circuits},
  author={Li, Yaodong and Chen, Xiao and Fisher, Matthew PA},
  journal={Physical Review B},
  volume={100},
  number={13},
  pages={134306},
  year={2019},
  publisher={APS},
  doi={10.1103/PhysRevB.100.134306}
}

% Canonicalization Methods

@article{garcia2012efficient,
  title={Efficient inner-product algorithm for stabilizer states},
  author={Garcia, Hector J and Markov, Igor L and Cross, Andrew W},
  journal={arXiv preprint arXiv:1210.6646},
  year={2012},
  url={https://arxiv.org/abs/1210.6646}
}

@article{audenaert2005entanglement,
  title={Entanglement on mixed stabilizer states: normal forms and reduction procedures},
  author={Audenaert, Koenraad MR and Plenio, Martin B},
  journal={New Journal of Physics},
  volume={7},
  number={1},
  pages={170},
  year={2005},
  publisher={IOP Publishing},
  doi={10.1088/1367-2630/7/1/170}
}

@phdthesis{gottesman1997stabilizer,
  title={Stabilizer codes and quantum error correction},
  author={Gottesman, Daniel},
  year={1997},
  publisher={California Institute of Technology},
  school={California Institute of Technology},
  url={https://arxiv.org/abs/quant-ph/9705052}
}

% Examples of results that employ the tableaux formalism

@article{gullans2020quantum,
  title={Quantum coding with low-depth random circuits},
  author={Gullans, Michael J and Krastanov, Stefan and Huse, David A and Jiang, Liang and Flammia, Steven T},
  journal={arXiv preprint arXiv:2010.09775},
  year={2020}
}

@article{krastanov2020heterogeneous,
  title={Heterogeneous Multipartite Entanglement Purification for Size-Constrained Quantum Devices},
  author={Krastanov, Stefan and de la Cerda, Alexander Sanchez and Narang, Prineha},
  journal={arXiv preprint arXiv:2011.11640},
  year={2020}
}

@article{nahum2017quantum,
	title = {Quantum Entanglement Growth under Random Unitary Dynamics},
	volume = {7},
	url = {https://link.aps.org/doi/10.1103/PhysRevX.7.031016},
	doi = {10.1103/PhysRevX.7.031016},
	pages = {031016},
	number = {3},
	journal = {Physical Review X},
	author = {Nahum, Adam and Ruhman, Jonathan and Vijay, Sagar and Haah, Jeongwan},
  year = {2017}
}

@misc{hein2006entanglement,
	title = {Entanglement in Graph States and its Applications},
	url = {http://arxiv.org/abs/quant-ph/0602096},
	journaltitle = {arXiv preprint arXiv:quant-ph/0602096},
	author = {Hein, M. and Dür, W. and Eisert, J. and Raussendorf, R. and Nest, M. Van den and Briegel, H.-J.},
	year = {2006},
}

@article{muralidharan2016optimal,
  title={Optimal architectures for long distance quantum communication},
  author={Muralidharan, Sreraman and Li, Linshu and Kim, Jungsang and L{\"u}tkenhaus, Norbert and Lukin, Mikhail D and Jiang, Liang},
  journal={Scientific reports},
  volume={6},
  number={1},
  pages={1--10},
  year={2016},
  publisher={Nature Publishing Group}
}

@article{choi2019percolation,
  title={Percolation-based architecture for cluster state creation using photon-mediated entanglement between atomic memories},
  author={Choi, Hyeongrak and Pant, Mihir and Guha, Saikat and Englund, Dirk},
  journal={npj Quantum Information},
  volume={5},
  number={1},
  pages={1--7},
  year={2019},
  publisher={Nature Publishing Group}
}

@article{keisuke2009doubleselection,
  title={Entanglement purification with double selection},
  author={Keisuke Fujii and Katsuji Yamamoto},
  journal={Phys. Rev. A 80, 042308},
  year={2009},
  url={https://doi.org/10.1103/PhysRevA.80.042308},
  doi={10.1103/PhysRevA.80.042308}
}

@article{krastanov2019optimised,
  title={Optimized Entanglement Purification},
  author={Stefan Krastanov, Victor V. Albert, and Liang Jiang},
  year={2019},
  url={https://arxiv.org/pdf/1712.09762.pdf},
  journal={Arxiv}
}

@article{naomi2013topological,
  title={Topological quantum computing with a very noisy network and local error rates approaching one percent},
  author={Naomi H. Nickerson, Ying Li, and Simon C. Benjamin},
  url={https://www.nature.com/articles/ncomms2773},
  year={2013},
  journal={Nature}
}

@article{prajit2023entangling,
  title={Entangling quantum memories via heralded photonic Bell measurement},
  author={Prajit Dhara, Dirk Englund, and Saikat Guha},
  url={https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.5.033149},
  year={2023},
  journal={Phys. Rev. Research 5, 033149}
}

@article{prajit2022heralded,
  title={Heralded Multiplexed High-Efficiency Cascaded Source of Dual-Rail Entangled Photon Pairs Using Spontaneous Parametric Down-Conversion},
  author={Prajit Dhara, Spencer J. Johnson, Christos N. Gagatsos, Paul G. Kwiat, and Saikat Guha},
  url={https://journals.aps.org/prapplied/abstract/10.1103/PhysRevApplied.17.034071},
  year={2022},
  journal={Phys. Rev. Applied 17, 034071}
}

@article{kevin2023zero,
  title={Zero-Added-Loss Entangled-Photon Multiplexing for Ground- and Space-Based Quantum Networks},
  author={Kevin C. Chen, Prajit Dhara, Mikkel Heuck, Yuan Lee, Wenhan Dai, Saikat Guha, and Dirk Englund},
  url={https://journals.aps.org/prapplied/abstract/10.1103/PhysRevApplied.19.054029},
  year={2023},
  journal={Phys. Rev. Applied 19, 054029}
}

@article{promponas2024maximizing,
  title={Maximizing Entanglement Rates via Efficient Memory Management in Flexible Quantum Switches},
  author={Promponas, Panagiotis and Valls, V{\'\i}ctor and Guha, Saikat and Tassiulas, Leandros},
  journal={IEEE Journal on Selected Areas in Communications},
  year={2024},
  publisher={IEEE}
}