Preparation of Decoherence Free Cluster States with Optical Superlattices

TL;DR

This paper proposes a method to create decoherence-free cluster states using ultracold atoms in a superlattice, enabling high-fidelity quantum gates and universal measurement-based quantum computation.

Contribution

It introduces a novel protocol utilizing superlattice geometry for preparing decoherence-free cluster states with ultracold atoms, including implementation of quantum gates.

Findings

High-fidelity one and two-qubit gates achieved

Preparation of universal cluster states demonstrated

Potential for studying polymerized Hamiltonians

Abstract

We present a protocol to prepare decoherence free cluster states using ultracold atoms loaded in a two dimensional superlattice. The superlattice geometry leads to an array of 2*2 plaquettes, each of them holding four spin-1/2 particles that can be used for encoding a single logical qubit in the two-fold singlet subspace, insensitive to uniform magnetic field fluctuations in any direction. Dynamical manipulation of the supperlattice yields distinct inter and intra plaquette interactions and permits to realize one qubit and two qubit gates with high fidelity, leading to the generation of universal cluster states for measurement based quantum computation. Our proposal based on inter and intra plaquette interactions also opens the path to study polymerized Hamiltonians which support ground states describing arbitrary quantum circuits.