Quantum-inspired permanent identities

@article{Chabaud2022QuantuminspiredPI,
  title={Quantum-inspired permanent identities},
  author={Ulysse Chabaud and Abhinav Deshpande and Saeed Adel Mehraban},
  journal={Quantum},
  year={2022}
}
The permanent is pivotal to both complexity theory and combinatorics. In quantum computing, the permanent appears in the expression of output amplitudes of linear optical computations, such as in the Boson Sampling model. Taking advantage of this connection, we give quantum-inspired proofs of many existing as well as new remarkable permanent identities. Most notably, we give a quantum-inspired proof of the MacMahon master theorem as well as proofs for new generalizations of this theorem… 

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