@article{aschauer,
  author = {Aschauer, Hans and Calsamiglia, John and Hein, M. and Briegel, Hans J.},
  title = {Local invariants for multi-partite entangled states allowing for a simple entanglement criterion},
  journal = {Quantum Information and Computation},
  volume = {4},
  number = {5},
  pages = {383--395},
  year = {2004},
  doi = {10.26421/QIC4.5-4}
}

@article{peres,
  author = {Peres, Asher},
  title = {Separability Criterion for Density Matrices},
  journal = {Physical Review Letters},
  volume = {77},
  number = {8},
  pages = {1413--1415},
  year = {1996},
  doi = {10.1103/PhysRevLett.77.1413}
}

@article{horodeckiPPT,
  author = {Horodecki, Micha{\l} and Horodecki, Pawe{\l} and Horodecki, Ryszard},
  title = {Separability of mixed states: necessary and sufficient conditions},
  journal = {Physics Letters A},
  volume = {223},
  number = {1--2},
  pages = {1--8},
  year = {1996},
  doi = {10.1016/S0375-9601(96)00706-2}
}

@article{bennettUPB,
  author = {Bennett, Charles H. and DiVincenzo, David P. and Mor, Tal and Shor, Peter W. and Smolin, John A. and Terhal, Barbara M.},
  title = {Unextendible Product Bases and Bound Entanglement},
  journal = {Physical Review Letters},
  volume = {82},
  number = {26},
  pages = {5385--5388},
  year = {1999},
  doi = {10.1103/PhysRevLett.82.5385}
}

@article{chenwu,
  author = {Chen, Kai and Wu, Ling-An},
  title = {A matrix realignment method for recognizing entanglement},
  journal = {Quantum Information and Computation},
  volume = {3},
  number = {3},
  pages = {193--202},
  year = {2003}
}

@article{devicente,
  author = {de Vicente, Julio I.},
  title = {Separability criteria based on the Bloch representation of density matrices},
  journal = {Quantum Information and Computation},
  volume = {7},
  number = {7},
  pages = {624--638},
  year = {2007}
}

@article{hassanjoag,
  author = {Hassan, Ali S. M. and Joag, Pramod S.},
  title = {Separability criterion for multipartite quantum states based on the Bloch representation of density matrices},
  journal = {Quantum Information and Computation},
  volume = {8},
  number = {8},
  pages = {773--790},
  year = {2008}
}

@article{devicentehuber,
  author = {de Vicente, Julio I. and Huber, Marcus},
  title = {Multipartite entanglement detection from correlation tensors},
  journal = {Physical Review A},
  volume = {84},
  number = {6},
  pages = {062306},
  year = {2011},
  doi = {10.1103/PhysRevA.84.062306}
}

@article{laskowski2011,
  author = {Laskowski, Wieslaw and Markiewicz, Marcin and Paterek, Tomasz and {\v{Z}}ukowski, Marek},
  title = {Correlation-tensor criteria for genuine multiqubit entanglement},
  journal = {Physical Review A},
  volume = {84},
  number = {6},
  pages = {062305},
  year = {2011},
  doi = {10.1103/PhysRevA.84.062305}
}

@article{klocklhuber2015,
  author = {Kl{\"o}ckl, Claude and Huber, Marcus},
  title = {Characterizing multipartite entanglement without shared reference frames},
  journal = {Physical Review A},
  volume = {91},
  number = {4},
  pages = {042339},
  year = {2015},
  doi = {10.1103/PhysRevA.91.042339}
}

@article{li2014,
  author = {Li, Ming and Wang, Jing and Fei, Shao-Ming and Li-Jost, Xianqing},
  title = {Quantum separability criteria for arbitrary-dimensional multipartite states},
  journal = {Physical Review A},
  volume = {89},
  number = {2},
  pages = {022325},
  year = {2014},
  doi = {10.1103/PhysRevA.89.022325}
}

@article{shen2016,
  author = {Shen, Shu-Qian and Yu, Juan and Li, Ming and Fei, Shao-Ming},
  title = {Improved Separability Criteria Based on Bloch Representation of Density Matrices},
  journal = {Scientific Reports},
  volume = {6},
  pages = {28850},
  year = {2016},
  doi = {10.1038/srep28850}
}

@article{sarbicki2020,
  author = {Sarbicki, Gniewomir and Scala, Giovanni and Chru{\'s}ci{\'n}ski, Dariusz},
  title = {Family of multipartite separability criteria based on a correlation tensor},
  journal = {Physical Review A},
  volume = {101},
  number = {1},
  pages = {012341},
  year = {2020},
  doi = {10.1103/PhysRevA.101.012341}
}

@article{zhao2020,
  author = {Zhao, Hui and Zhang, Mei-Ming and Jing, NaiHuan and Wang, Zhi-Xi},
  title = {Separability criteria based on Bloch representation of density matrices},
  journal = {Quantum Information Processing},
  volume = {19},
  number = {1},
  year = {2020},
  doi = {10.1007/s11128-019-2504-2}
}

@misc{jingzhang2023,
  author = {Jing, Naihuan and Zhang, Mingming},
  title = {Criteria of genuine multipartite entanglement based on correlation tensors},
  year = {2023},
  eprint = {2301.06463},
  archivePrefix = {arXiv},
  primaryClass = {quant-ph},
  url = {https://arxiv.org/abs/2301.06463}
}

@misc{huang2024moments,
  author = {Huang, Xin and Jing, Naihuan},
  title = {Separability criteria based on the correlation tensor moments for arbitrary dimensional states},
  year = {2024},
  eprint = {2402.13162},
  archivePrefix = {arXiv},
  primaryClass = {quant-ph},
  url = {https://arxiv.org/abs/2402.13162}
}

@misc{huang2024extended,
  author = {Huang, Xin and Zhang, Tianyi and Jing, Naihuan},
  title = {A unifying separability criterion based on extended correlation tensor},
  year = {2024},
  eprint = {2406.17230},
  archivePrefix = {arXiv},
  primaryClass = {quant-ph},
  url = {https://arxiv.org/abs/2406.17230}
}

@misc{liyaoyangfei2025,
  author = {Li, Lei and Yao, Hongyang and Yang, Chao and Fei, Shao-Ming},
  title = {Separability criteria of quantum states based on generalized Bloch representation},
  year = {2025},
  eprint = {2510.24110},
  archivePrefix = {arXiv},
  primaryClass = {quant-ph},
  url = {https://arxiv.org/abs/2510.24110}
}

@article{delathauwer,
  author = {De Lathauwer, Lieven and De Moor, Bart and Vandewalle, Joos},
  title = {A multilinear singular value decomposition},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  volume = {21},
  number = {4},
  pages = {1253--1278},
  year = {2000},
  doi = {10.1137/S0895479896305696}
}

@misc{appleby2009,
  author = {Appleby, D. M.},
  title = {Properties of the extended Clifford group with applications to SIC-POVMs and MUBs},
  year = {2009},
  eprint = {0909.5233},
  archivePrefix = {arXiv},
  primaryClass = {quant-ph},
  doi = {10.48550/arXiv.0909.5233},
  url = {https://arxiv.org/abs/0909.5233}
}

@misc{applebyBengtssonChaturvedi2007,
  author = {Appleby, D. M. and Bengtsson, Ingemar and Chaturvedi, Subramanyan},
  title = {Spectra of phase point operators in odd prime dimensions and the extended Clifford group},
  year = {2007},
  eprint = {0710.3013},
  archivePrefix = {arXiv},
  primaryClass = {quant-ph},
  url = {https://arxiv.org/abs/0710.3013}
}

@article{vanDamHoward2011,
  author = {van Dam, Wim and Howard, Mark},
  title = {Bipartite entangled stabilizer mutually unbiased bases as maximum cliques of Cayley graphs},
  journal = {Physical Review A},
  volume = {84},
  number = {1},
  pages = {012117},
  year = {2011},
  doi = {10.1103/PhysRevA.84.012117}
}

@article{poppHiesmayr2024,
  author = {Popp, C. and Hiesmayr, B. C.},
  title = {Special features of the Weyl-Heisenberg Bell basis imply unusual entanglement structure of Bell-diagonal states},
  journal = {New Journal of Physics},
  volume = {26},
  number = {1},
  pages = {013039},
  year = {2024},
  doi = {10.1088/1367-2630/ad1f10}
}

@article{sutterPoppHiesmayr2026,
  author = {Sutter, T. C. and Popp, C. and Hiesmayr, B. C.},
  title = {Group-Theoretic Perspective on the {PPT} and Realignment Criteria in the Magic Simplex for Bipartite Qutrits},
  journal = {Physical Review A},
  volume = {113},
  number = {3},
  pages = {032440},
  year = {2026},
  doi = {10.1103/PhysRevA.113.032440}
}