# Low-rank tensor decompositions of quantum circuits

@inproceedings{Gel2022LowrankTD, title={Low-rank tensor decompositions of quantum circuits}, author={Patrick Gel{\ss} and Stefan Klus and Zarin Shakibaei and Sebastian Pokutta}, year={2022} }

Quantum computing is arguably one of the most revolutionary and disrup-tive technologies of this century. Due to the ever-increasing number of potential applications as well as the continuing rise in complexity, the development, simulation, optimization, and physical realization of quantum circuits is of utmost importance for designing novel algorithms. We show how matrix product states (MPSs) and matrix product operators (MPOs) can be used to express not only the state of the system but also…

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