Programmable Fermionic Quantum Processors with Globally Controlled Lattices

TL;DR

This paper presents a universal framework for fermionic quantum processing using globally controlled particles, applicable to optical lattices and other setups, enabling arbitrary fermionic operations with global parameter control.

Contribution

It introduces a constructive, universal protocol for fermionic quantum processing with global controls, expanding capabilities for simulating complex fermionic systems.

Findings

Proves the universality of the fermionic processing framework.

Provides protocols for arbitrary fermionic process implementation.

Discusses variants including hybrid analog-digital simulation.

Abstract

We introduce a framework for realizing universal fermionic quantum processing with globally controlled itinerant fermionic particles. Our approach is tailored to the example of neutral atoms in optical lattices, but transposes to other setups with similar capabilities. We give constructive protocols to realize arbitrary fermionic processes, with time-dependent control over global parameters of the experimental setup, such as tunneling and interaction in a Fermi-Hubbard type model. We first prove the universality of our framework and then discuss implementation variants, such as hybrid analog-digital simulation of extended Fermi-Hubbard models, e.g., with long-range couplings.