Implementation of the Quantum Fourier Transform on a molecular qudit with full refocusing and state tomography

2025/12/17 by Rubín-Osanz, Marcos, Bersani, Laura, Chicco, Simone +7 · 1 citation
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Magnetism in coordination complexes #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies

paper · doi:10.48550/arxiv.2512.15611

openalex publication_date 2025/12/17 · openalex created_date 2025/12/19 · openalex updated_date 2026/07/28

Abstract

Molecular spin qudits based on lanthanide complexes offer a promising platform for quantum technologies, combining chemical tunability with multi-level encoding. However, experimental demonstrations of their envisaged capabilities remain scarce, posing the difficulty of achieving precise control over coherences between qudit states in long pulse sequences. Here, we implement in 173Yb(trensal) qudit the Quantum Fourier Transform (QFT), a core component of numerous quantum algorithms, storing quantum information in the phases of coherences. QFT provides an ideal benchmark for coherence manipulation and an unprecedented challenge for molecular spin qudits. We address this challenge by embedding a full-refocusing protocol for spin qudits in our algorithm, mitigating inhomogeneous broadening and enabling a high-fidelity recovery of the state. Complete state tomography demostrates the performance of the algorithm, while simulations provide insight into the physical mechanisms behind inhomogeneous broadening. This work shows the feasibility of quantum logic on molecular spin qudits and highlights their potential.

Citations

• Optimizing magnetic coupling in lumped element superconducting resonators for molecular spin qubits
• Chemical tuning of quantum spin–electric coupling in molecular magnets
• Molecular spin qudits to test generalized Bell inequalities
• Unitary Transformations using Robust Optimal Control on a Cold Atom Qudit
• Qudit-Generalization of the Qubit Echo and Its Application to a Qutrit-Based Toffoli Gate
• High cooperativity coupling to nuclear spins on a circuit QED architecture
• Controlled coherent dynamics of [VO(TPP)], a prototype molecular nuclear\n qudit with an electronic ancilla

Cited by

• Fault-Tolerant Encoding of Logical Qudits in Spin Systems
• Coherent electric field manipulation of nuclear spin qudit

Related

• Mitigating decoherence in molecular spin qudits
• Implementation of the quantum Fourier transform on a hybrid qubit-qutrit\n NMR quantum emulator
• Controlled coherent dynamics of [VO(TPP)], a prototype molecular nuclear\n qudit with an electronic ancilla
• Molecular spin qudits to test generalized Bell inequalities
• Certifying the quantumness of a nuclear spin qudit through its uniform precession