# Matrix product states with adaptive global symmetries

@article{Guo2019MatrixPS, title={Matrix product states with adaptive global symmetries}, author={Chu Guo and Dario Poletti}, journal={Physical Review B}, year={2019} }

Quantum many body physics simulations with Matrix Product States can often be accelerated if the quantum symmetries present in the system are explicitly taken into account. Conventionally, quantum symmetries have to be determined before hand when constructing the tensors for the Matrix Product States algorithm. In this work, we present a Matrix Product States algorithm with a dynamical $U(1)$ symmetry. This algorithm can take into account of, or benefit from, $U(1)$ or $Z_2$ symmetries when…

## One Citation

Classical simulation of lossy boson sampling using matrix product operators

- Computer SciencePhysical Review A
- 2021

By simulating lossy boson sampling using MPO, it is shown that as an input photon number grows, its computational cost, or MPO EE, behaves differently depending on a loss-scaling, exhibiting a different feature from that of lossless boson sampled.

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