Quantum Fourier transform for quantum sensing

Abstract

The Quantum Fourier Transformation ($QFT$) is a key building block for a whole wealth of quantum algorithms. Despite its proven efficiency, only a few proof-of-principle demonstrations have been reported. Here we utilize $QFT$ to enhance the performance of a quantum sensor. We implement the $QFT$ algorithm in a hybrid quantum register consisting of a nitrogen-vacancy (NV) center electron spin and three nuclear spins. The $QFT$ runs on the nuclear spins and serves to process the sensor - NV electron spin signal. We demonstrate $QFT$ for quantum (spins) and classical signals (radio frequency (RF) ) with near Heisenberg limited precision scaling. We further show the application of $QFT$ for demultiplexing the nuclear magnetic resonance (NMR) signal of two distinct target nuclear spins. Our results mark the application of a complex quantum algorithm in sensing which is of particular interest for high dynamic range quantum sensing and nanoscale NMR spectroscopy experiments.

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• Quantum sensing
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Cited by in corpus (13)

• Fault-tolerant operation of a logical qubit in a diamond quantum processor
• Coherence and entanglement of inherently long-lived spin pairs in diamond
• Quantum Fourier Transform using Dynamic Circuits
• Preparing Dicke states in a spin ensemble using phase estimation
• Precise control of entanglement in multinuclear spin registers coupled to defects
• Measuring nuclear spin qubits by qudit-enhanced spectroscopy in Silicon Carbide
• Thermodynamics of a minimal algorithmic cooling refrigerator
• Real-time frequency estimation of a qubit without single-shot-readout
• Quantum Fourier transform on photonic qubits using cavity QED
• Generation of genuine all-way entanglement in defect-nuclear spin systems through dynamical decoupling sequences
• Interaction of Nitrogen-Vacancy Centers in Diamond with a Dense Ensemble of Carbon-13
• Ancilla assisted Discrete Time Crystals in Non-interacting Spin Systems
• Controlling discrete time crystals via single-site operations in zero-field diamond quantum simulators