Quantum simulations based on measurements and feedback control

TL;DR

This paper introduces a measurement-based quantum simulation scheme using photon detection feedback in cavity-atom systems, enabling simulation of complex Hamiltonians with robustness against photon loss.

Contribution

It presents a novel measurement and feedback control method for quantum simulations that requires only linear optics and allows for scalable, loss-tolerant implementations.

Findings

Able to simulate any Hamiltonian composed of two-qubit interactions

Supports robust operation against photon losses

Enables simulation of lattice-based quantum systems

Abstract

We propose a scheme for performing quantum simulations with atoms in cavities based on a photon detection feedback loop that requires only linear optical elements. Atoms can be stored individually without the need of directly interacting with one another. The scheme is able to simulate any time evolution that can be written as a sum of two-qubit Hamiltonians, .e.g., any next neighbor interaction on a lattice. It can also be made robust against photon losses.