Connecting Entanglement in Time and Space: Improving the Folding Algorithm

Understand

The "folding algorithm"\cite{fold1} is a matrix product state algorithm for simulating quantum systems that involves a spatial evolution of a matrix product state.

• Hence, the computational effort of this algorithm is controlled by the temporal entanglement.
• We show that this temporal entanglement is, in many cases, equal to the spatial entanglement of a modified Hamiltonian.
• This inspires a modification to the folding algorithm, that we call the "hybrid algorithm".