Qudit encoding in Rydberg blockaded arrays of atoms

TL;DR

This paper presents a method to encode and manipulate qudits in Rydberg atom arrays, enabling scalable quantum information processing with high fidelity control of multi-level atomic states.

Contribution

It introduces a protocol for arbitrary state synthesis and unitary operations on qudits in Rydberg atom arrays, expanding quantum computing capabilities beyond qubits.

Findings

Protocol achieves high-fidelity arbitrary unitaries

Scalable qudit dimension by adjusting atom number

Finite Rydberg state lifetime affects fidelity

Abstract

We propose a protocol to realize arbitrary state synthesis and unitary operations on a qudit encoded in the collective dressed states of a Rydberg blockaded array of three-level atoms. This system is isomorphic to the Jaynes-Cummings model and acts as a multi-level Rydberg-superatom whose nonlinear spectrum can be precisely controlled through the parameters of the laser driving the intermediate-to-Rydberg transition. Control of the qudit state is possible through pulse sequences of the laser driving the ground-to-intermediate transition. The dimension of the qudit Hilbert space is scalable by adjusting the number of atoms involved in the Rydberg blockaded array. We estimate the fidelity of our protocol for realizing arbitrary unitaries and discuss the influence of the finite lifetime of the Rydberg state. Our work paves the way for processing quantum information with Rydberg blockaded arrays of atoms as an alternative to atom qubit arrays.