Dear friends,

This Wednesday, May 7th at 11:30-12:30 in D1.14, we're happy to welcome back Matteo D'Anna to give another talk, this time about simulation of 2D systems. Title and abstract below. Join us in person or online at https://meet.jit.si/CQISeminarTalks

Warm regards,
Will

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Title: Circuit compression for 2D quantum dynamics

Abstract: Deterministic methods for implementing the dynamics of quantum systems with quantum computers often suffer between a tradeoff between depth and accuracy. Variational approaches aim at offering accurate implementations at lower depths, at the expenses of needing to perform an optimization of the parametrized ansatz beforehand. In this I will present a novel method, taking advantage of out-of-distribution results to perform the optimization by employing only product states. By usisng a Pauli-propagation algorithm the method is able to estimate the target cost function for systems of, in principle, arbitrary topology, including 2D systems. The method allows to obtain implementations of the dynamics of large 2D systems (up to square lattices with 30 x 30  sites) that is orders of magnitude more accurate than standard trotterization, at identical depth. It is even possible to run the compiled ansatz on the H1 quantum chip and find that it can follow the dynamics with high accuracy. The method shows that compilation for large 2D systems is possible, and opens up the exploration to a plethora of applications both in theory and applications, as many families of ansaetze and connectivities can now be studied.