Digital quantum simulation of NMR experiments.

Area of Science:

• Quantum Computing
• Spectroscopy
• Computational Chemistry

Background:

• Nuclear Magnetic Resonance (NMR) spectroscopy is vital for molecular structure determination and experimental optimization.
• Simulating complex NMR experiments, especially zero-field NMR and large molecules like proteins, is computationally intractable for classical computers.
• Quantum computing offers a potential solution for overcoming these classical simulation limitations.

Purpose of the Study:

• To demonstrate the first quantum simulation of a Nuclear Magnetic Resonance (NMR) spectrum.
• To compute the zero-field NMR spectrum of acetonitrile's methyl group using a trapped-ion quantum computer.
• To explore the potential of quantum computation for simulating classically challenging NMR experiments.

Main Methods:

• Utilized a four-qubit trapped-ion quantum computer to perform the quantum simulation.
• Employed compressed sensing techniques to significantly reduce the sampling cost of the quantum simulation.
• Developed and experimentally demonstrated a quantum algorithm for NMR spectrum simulation.

Main Results:

• Successfully computed the zero-field NMR spectrum of the methyl group of acetonitrile.
• Achieved an order of magnitude reduction in sampling cost through compressed sensing.
• Showcased the feasibility of simulating NMR spectra on near-term quantum hardware.

Conclusions:

• The study presents the first practical application of quantum computation in NMR spectroscopy.
• Intrinsic decoherence in NMR systems may facilitate the simulation of classically hard molecules on near-term quantum devices.
• The demonstrated quantum algorithm can be extended for efficient simulation of solid-state NMR experiments on future quantum hardware.