Counteracting dephasing in Molecular Nanomagnets by optimized qudit encodings

TL;DR

This paper investigates dephasing errors in molecular nanomagnets used as qudits, develops optimized quantum error correction codes through simulations, and proposes experimental pulse sequences to enhance coherence times.

Contribution

It provides a microscopic understanding of dephasing in molecular qudits and introduces tailored quantum error correction strategies optimized via system-bath dynamics simulations.

Findings

Enhanced coherence times with optimized error correction codes

Systematic simulation-based design of error correction sequences

Proposed pulse sequences for experimental implementation

Abstract

Molecular Nanomagnets may enable the implementation of qudit-based quantum error-correction codes which exploit the many spin levels naturally embedded in a single molecule, a promising step towards scalable quantum processors. To fully realize the potential of this approach, a microscopic understanding of the errors corrupting the quantum information encoded in a molecular qudit is essential, together with the development of tailor-made quantum error correction strategies. We address these central points by first studying dephasing effects on the molecular spin qudit produced by the interaction with surrounding nuclear spins, which are the dominant source of errors at low temperatures. Numerical quantum error correction codes are then constructed, by means of a systematic optimisation procedure based on simulations of the coupled system-bath dynamics, that provide a striking enhancement of the coherence time of the molecular computational unit. The sequence of pulses needed for the experimental implementation of the codes is finally proposed.