# Universal Quantum Control in Zero-field Nuclear Magnetic Resonance

## TL;DR

This paper presents a universal quantum control method for nuclear spins in zero magnetic field, enabling quantum logic gates without magnetic fields, with potential applications across various scientific fields.

## Contribution

It introduces a novel scheme for implementing universal quantum gates in zero-field NMR, expanding quantum control capabilities in field-free environments.

## Key findings

- Realization of arbitrary single-qubit gates
- Implementation of two-qubit controlled-NOT gate
- Potential applications in quantum information processing

## Abstract

This paper describes a general method for manipulation of nuclear spins in zero magnetic field. In the absence of magnetic fields, the spins lose the individual information on chemical shifts and inequivalent spins can only be distinguished by nuclear gyromagnetic ratios and spin-spin couplings. For spin-1/2 nuclei with different gyromagnetic ratios (i.e., different species) in zero magnetic field, we describe the scheme to realize a set of universal quantum logic gates, e.g., arbitrary single-qubit gates and two-qubit controlled-NOT gate. This method allows for universal quantum control in systems which might provide promising applications in materials science, chemistry, biology,quantum information processing and fundamental physics.