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

Area of Science:

• Quantum Information Science
• Molecular Magnetism
• Quantum Computing

Background:

• Molecular spin qudits, particularly lanthanide complexes, are promising for quantum technologies due to their tunable chemical properties and multi-level encoding capabilities.
• Experimental realization of complex quantum operations on molecular spin qudits is challenging due to difficulties in controlling coherences over extended pulse sequences.

Purpose of the Study:

• To implement the Quantum Fourier Transform (QFT), a fundamental quantum algorithm, on a molecular spin qudit (¹⁷³Yb(trensal)).
• To benchmark the manipulation of quantum coherences and assess the feasibility of quantum logic operations on molecular spin systems.

Main Methods:

• Implementation of the Quantum Fourier Transform (QFT) algorithm on a ¹⁷³Yb(trensal) molecular spin qudit.
• Integration of a full-refocusing protocol to mitigate inhomogeneous broadening effects.
• Utilizing complete state tomography for algorithm performance evaluation.

Main Results:

• Successful implementation of the Quantum Fourier Transform (QFT) on a molecular spin qudit, storing quantum information in coherence phases.
• High-fidelity state recovery achieved through the embedded full-refocusing protocol, effectively managing inhomogeneous broadening.
• Experimental demonstration of quantum logic feasibility on molecular spin qudits.

Conclusions:

• This study validates the potential of molecular spin qudits for executing complex quantum algorithms like the QFT.
• The developed methods enhance coherence control, addressing a key challenge in molecular quantum computing.
• The work highlights the viability of molecular systems for future quantum technologies.