Tensor-Trains

A Toolbox for Tensor-Train and MPS (Matrix Product State).

• TT_SVD and TTLayer which allows low rank approximation of nn.Linear.
• TT_SVD_Vidal and MPS which allows MPS simulation of quantum circuits.

Installation

pip install .

References

• Guifré Vidal, Efficient Classical Simulation of Slightly Entangled Quantum Computations, Phys. Rev. Lett. 91, 147902 – Published 1 October 2003
• I. V. Oseledets, Tensor-Train Decomposition, Vol. 33, Iss. 5 (2011)
• Alexander Novikov, Dmitrii Podoprikhin, Anton Osokin, Dmitry P. Vetrov, Tensorizing Neural Networks, (NIPS 2015)