Digital noise spectroscopy with a quantum sensor
arXiv:2212.09216 · doi:10.1088/2058-9565/ad3846
Abstract
We introduce and experimentally demonstrate a quantum sensing protocol to sample and reconstruct the auto-correlation of a noise process using a single-qubit sensor under digital control modulation. This Walsh noise spectroscopy method exploits simple sequences of spin-flip pulses to generate a complete basis of digital filters that directly sample the power spectrum of the target noise in the sequency domain -- from which the auto-correlation function in the time domain, as well as the power spectrum in the frequency domain, can be reconstructed using linear transformations. Our method, which can also be seen as an implementation of frame-based noise spectroscopy, solves the fundamental difficulty in sampling continuous functions with digital filters by introducing a transformation that relates the arithmetic and logical time domains. In comparison to standard, frequency-based dynamical-decoupling noise spectroscopy protocols, the accuracy of our method is only limited by the sampling and discretization in the time space and can be easily improved, even under limited evolution time due to decoherence and hardware limitations. Finally, we experimentally reconstruct the auto-correlation function of the effective magnetic field produced by the nuclear-spin bath on the electronic spin of a single nitrogen-vacancy center in diamond, discuss practical limitations of the method, and avenues for further improving the reconstruction accuracy.
References in corpus (46)
- Sensitivity Optimization for NV-Diamond Magnetometry
- Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
- Universal dynamical decoupling of a single solid-state spin from a spin bath
- Optimized Dynamical Decoupling in a Model Quantum Memory
- Dynamic polarization of single nuclear spins by optical pumping of NV color centers in diamond at room temperature
- Electrometry Using Coherent Exchange Oscillations in a Singlet-Triplet-Qubit
- Detection and control of individual nuclear spins using a weakly coupled electron spin
- Dynamical decoupling noise spectroscopy
- Single-qubit quantum memory exceeding -minute coherence time
- Spectroscopy of Surface-Induced Noise Using Shallow Spins in Diamond
- Decoherence of dipolar spin ensembles in diamond
- Single Ion Quantum Lock-In Amplifier
- Sensing distant nuclear spins with a single electron spin
- Scaling of Dynamical Decoupling for Spin Qubits
- Dynamical decoupling sequence construction as a filter-design problem
- Qubit noise spectroscopy for non-Gaussian dephasing environments
- Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
- Measurement of the Noise Spectrum Using a Multiple-Pulse Sequence
- Multiqubit Spectroscopy of Gaussian Quantum Noise
- Assessment of a silicon quantum dot spin qubit environment via noise spectroscopy
- Environmental noise spectroscopy with qubits subjected to dynamical decoupling
- A General Transfer-Function Approach to Noise Filtering in Open-Loop Quantum Control
- Decay of Rabi oscillations by dipolar-coupled dynamical spin environments
- Non-Gaussian noise spectroscopy with a superconducting qubit sensor
- Observation of anomalous decoherence effect in a quantum bath at room temperature
- Anomalous decoherence effect in a quantum bath
- Time-resolved magnetic sensing with electronic spins in diamond
- Application of optimal band-limited control protocols to quantum noise sensing
- Converting a real quantum bath to an effective classical noise
- Spectroscopy of cross-correlations of environmental noises with two qubits
- DC Magnetometry at the Limit
- Entanglement of dark electron-nuclear spin defects in diamond
- Nanoscale vector AC magnetometry with a single nitrogen-vacancy center in diamond
- Reducing sequencing complexity in dynamical quantum error suppression by Walsh modulation
- Noise spectroscopy of a quantum-classical environment with a diamond qubit
- Decoherence of two entangled spin qubits coupled to an interacting sparse nuclear spin bath: application to nitrogen vacancy centers
- Simultaneous spectral estimation of dephasing and amplitude noise on a qubit sensor via optimally band-limited control
- Frame-Based Filter-Function Formalism for Quantum Characterization and Control
- Reconstructing the Profile of Time-Varying Magnetic Fields With Quantum Sensors
- Identification and control of electron-nuclear spin defects in diamond
- Trispectrum reconstruction of non-Gaussian noise
- Environment-assisted quantum-enhanced sensing with electronic spins in diamond
- Accuracy of dynamical-decoupling-based spectroscopy of Gaussian noise
- Resource-efficient digital characterization and control of classical non-Gaussian noise
- Learning Noise via Dynamical Decoupling of Entangled Qubits
- Optimal digital dynamical decoupling for general decoherence via Walsh modulation