Generalized Ramsey Interferometry Explored with a Single Nuclear Spin Qudit

Abstract

Qudits, with their state space of dimension d > 2, open fascinating experimental prospects. The quantum properties of their states provide new potentialities for quantum information, quantum contextuality, expressions of geometric phases, facets of quantum entanglement and many other foundational aspects of the quantum world, which are unapproachable with qubits. We here experimentally investigate the quantum dynamics of a qudit (d = 4) that consists of a single 3/2 nuclear spin embedded in a molecular magnet transistor geometry, coherently driven by a microwave electric field. We propose and implement three protocols based on a generalization of the Ramsey interferometry to a multilevel system. First, the standard Ramsey interference is used to measure the accumulation of geometric phases. Then, two distinct transitions of the nuclear spin are addressed to measure the phase of an iSWAP quantum gate. Finally, through a succession of two Hadamard gates, the coherence time of a 3-state superposition is measured.

arXiv comment20 pages, 5 figures

References in corpus (21)

• Quantum Computing
• Quantum Computing in Molecular Magnets
• Multi-valued Logic Gates for Quantum Computation
• Strong spin-photon coupling in silicon
• Observation of Berry's Phase in a Solid State Qubit
• Multi-photon entanglement in high dimensions
• Operating Quantum States in Single Magnetic Molecules: Implementation of Grover's Quantum Algorithm
• Experimental non-classicality of an indivisible quantum system
• Coherent spin-qubit photon coupling
• Berry phase for a spin 1/2 in a classical fluctuating field
• Asymptotically Optimal Quantum Circuits for d-level Systems
• Three addressable spin qubits in a molecular single-ion magnet
• Optical manipulation of Berry phase in a solid-state spin qubit
• Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits
• Exploring the Effect of Noise on the Berry Phase
• Electrical single spin read-out using an exchange-coupled quantum dot
• Multiqubit Spin
• Strong coupling of microwave photons to antiferromagnetic fluctuations in an organic magnet
• Minimal qudit code for a qubit in the phase-damping channel
• The Grover algorithm with large nuclear spins in semiconductors
• Logical and inequality based contextuality for qudits

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• Unconventional topology with a Rashba spin-orbit coupled quantum gas
• A verifiable framework of entanglement-free quantum secret sharing with information-theoretical security
• Simple implementation of high fidelity controlled-$i$SWAP gates and quantum circuit exponentiation of non-Hermitian gates
• Dipole-dipole frequency shifts in multilevel atoms
• Scalable Atomic Arrays for Spin-Based Quantum Computers in Silicon
• Machine Learning-Assisted Manipulation and Readout of Molecular Spin Qubits
• Realization of Universal Quantum Gates with Spin-Qudits in Colloidal Quantum Dots
• Application of the Diamond Gate in Quantum Fourier Transformations and Quantum Machine Learning
• Coherent control over the high-dimensional space of the nuclear spin of alkaline-earth atoms
• Engineering spin-orbit effects and Berry curvature by deposition of Eu on WSe${}_2$
• Hyperfine and quadrupole interactions for Dy isotopes in DyPc${}_2$ molecules
• Ramsey-biased spectroscopy of superconducting qubits under dispersion