Creation of resilient entangled states and a resource for measurement-based quantum computation with optical superlattices
B. Vaucher, A. Nunnenkamp, and D. Jaksch

TL;DR
This paper demonstrates how to create and manipulate resilient entangled states of ultracold atoms in optical superlattices, enabling robust quantum computation and entanglement generation without vibrational state transfers.
Contribution
It introduces a novel method using superlattice manipulations to generate resilient entangled states and a 2D resource for measurement-based quantum computing.
Findings
Successfully engineered many-body entangled states resistant to dephasing
Developed a protocol for 2D measurement-based quantum computing resource
Analyzed measurement networks preserving system resilience during computation
Abstract
We investigate how to create entangled states of ultracold atoms trapped in optical lattices by dynamically manipulating the shape of the lattice potential. We consider an additional potential (the superlattice) that allows both the splitting of each site into a double well potential, and the control of the height of potential barrier between sites. We use superlattice manipulations to perform entangling operations between neighbouring qubits encoded on the Zeeman levels of the atoms without having to perform transfers between the different vibrational states of the atoms. We show how to use superlattices to engineer many-body entangled states resilient to collective dephasing noise. Also, we present a method to realize a 2D resource for measurement-based quantum computing via Bell-pair measurements. We analyze measurement networks that allow the execution of quantum algorithms while…
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