Protecting operations on qudits from noise by continuous dynamical decoupling

Abstract

We develop a procedure of generalized continuous dynamical decoupling (GCDD) for an ensemble of d-level systems (qudits), allowing one to protect the action of an arbitrary multiqudit gate from general noise. We first present our GCDD procedure for the case of an arbitrary qudit and apply it to the case of a Hadamard gate acting on a qutrit. This is done using a model that, in principle, could be implemented using the three magnetic hyperfine states of the ground energy level of Rb87 and laser beams whose intensities and phases are modulated according to our prescription. We show that this model allows one to generate continuously all the possible SU(3) group operations which are, in general, needed to apply the GCDD procedure. We finally show that our method can be extended to the case of an ensemble of qudits, identical or not.Received 13 December 2019Revised 22 October 2020Accepted 15 February 2021DOI:https://doi.org/10.1103/PhysRevResearch.3.013235Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasQuantum algorithmsQuantum computationQuantum controlQuantum fluctuations & noiseQuantum gatesQuantum information with atoms & lightPhysical SystemsAlkali metalsAtomic ensembleQuantum Information