# Quasi-continuous variable quantum computation with collective spins in multi-path interferometers

## TL;DR

This paper proposes a method for quantum computation using collective spins in multi-path interferometers, enabling coupling between samples and simulation of quantum systems through polynomial Hamiltonians.

## Contribution

It introduces a novel approach combining multi-path interferometers with collective spins for quantum computation, enabling complex Hamiltonian construction.

## Key findings

- Coupling between atomic samples achieved via multi-path interferometers.
- Polynomial Hamiltonians constructed through spin rotations and light interactions.
- Potential for efficient quantum system simulation.

## Abstract

Collective spins of large atomic samples trapped inside optical resonators can carry quantum information that can be processed in a way similar to quantum computation with continuous variables. It is shown here that by combining the resonators in multi-path interferometers one can realize coupling between different samples, and that polynomial Hamiltonians can be constructed by repeated spin rotations and twisting induced by dispersive interaction of the atoms with light. Application can be expected in efficient simulation of quantum systems.