Universal Quantum Control in Zero-field Nuclear Magnetic Resonance

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.

7 pages, 2 figures, be accepted by PRA

References in corpus (6)

• NMR Techniques for Quantum Control and Computation
• Near-zero-field nuclear magnetic resonance
• Sensing and atomic-scale structure analysis of single nuclear spin clusters in diamond
• Efficient Refocussing of One Spin and Two Spin Interactions for NMR Quantum Computation
• Measurement of Untruncated Nuclear Spin Interactions via Zero- to Ultra-Low-Field Nuclear Magnetic Resonance
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Cited by in corpus (11)

• The Cosmic Axion Spin Precession Experiment (CASPEr): a dark-matter search with nuclear magnetic resonance
• Experimental Benchmarking of Quantum Control in Zero-Field Nuclear Magnetic Resonance
• Magnetic Gradiometer for Detection of Zero- and Ultralow-Field Nuclear Magnetic Resonance
• Interference in Atomic Magnetometry
• Zero- to Ultralow-field Nuclear Magnetic Resonance
• Time-optimal Control of Independent Spin-1/2 Systems under Simultaneous Control
• Meridional composite pulses for low-field magnetic resonance
• Quantum compiling with a variational instruction set for accurate and fast quantum computing
• Selective nuclear-spin interaction based on a dissipatively stabilized nitrogen-vacancy center
• Zero- to ultralow-field nuclear magnetic resonance and its applications
• Implementation of controlled-NOT quantum gate by nonlinear coupled electro-nano-optomechanical oscillators