Speaker
Description
In classical simulations of quantum many body systems, entanglement has served as the traditional measure of "quantumness" or computational complexity. This was until the Gottesman-Knill theorem showed that a certain class of quantum states known as stabilizer states, which include some maximally entangled states, can be simulated classically with complexity linear in the number of qubits via the stabilizer tableau formalism. Thus, a true measure of complexity will involve both entanglement and nonstabilizerness (magic) of the states in a simulation. Using the complexity measures (1) bipartite entanglement entropy and (2) antiflatness, a lower bound for linear bipartite non local magic, we investigate quantum resource distribution in position space scattering simulations of an XZ Heisenberg model. We begin in the limit of a disordered Ising model ($h>J_x>>J_z$) and gradually ramp up $J_x$ and $J_z$ maintaining $J_x>J_z$, and also explore volume effects. We report on recent progress regarding the implications of this analysis for tensor network design and quantum simulations for both 1+1D and 2+1D models.