Environmental noise spectroscopy with qubits subjected to dynamical decoupling

Abstract

A qubit subjected to pure dephasing due to classical Gaussian noise can be turned into a spectrometer of this noise by utilizing its readout under properly chosen dynamical decoupling (DD) sequences to reconstruct the power spectral density of the noise. We review the theory behind this DD-based noise spectroscopy technique, paying special attention to issues that arise when the environmental noise is non-Gaussian and/or it has truly quantum properties. While we focus on the theoretical basis of the method, we connect the discussed concepts with specific experiments and provide an overview of environmental noise models relevant for solid-state based qubits, including quantum-dot based spin qubits, superconducting qubits, and NV centers in diamond.

A review paper submitted to J. Phys.: Condens. Matter

References in corpus (181)

• Quantum Computation with Quantum Dots
• Decoherence, einselection, and the quantum origins of the classical
• Charge insensitive qubit design derived from the Cooper pair box
• Spins in few-electron quantum dots
• Introduction to Quantum Noise, Measurement and Amplification
• High-sensitivity diamond magnetometer with nanoscale resolution
• Dynamical Decoupling of Open Quantum Systems
• Manipulating the Quantum State of an Electrical Circuit
• Dynamical suppression of decoherence in two-state quantum systems
• Silicon Quantum Electronics
• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• Decoherence in Josephson Qubits from Dielectric Loss
• Universal dynamical decoupling of a single solid-state spin from a spin bath
• A single-atom electron spin qubit in silicon
• Quantum Error Correction for Beginners
• A robust, scanning quantum system for nanoscale sensing and imaging
• Electron spin coherence exceeding seconds in high purity silicon
• Keeping a Quantum Bit Alive by Optimized $\pi$-Pulse Sequences
• Spin-orbit qubit in a semiconductor nanowire
• Storing quantum information for 30 seconds in a nanoelectronic device
• Optimized Dynamical Decoupling in a Model Quantum Memory
• Decoherence in a superconducting quantum bit circuit
• 1/f noise: implications for solid-state quantum information
• Electrically driven single electron spin resonance in a slanting Zeeman field
• Preparation and Measurement of Three-Qubit Entanglement in a Superconducting Circuit
• Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
• Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits
• How to Enhance Dephasing Time in Superconducting Qubits
• Control and Detection of Singlet-Triplet Mixing in a Random Nuclear Field
• Triplet-Singlet Spin Relaxation via Nuclei in a Double Quantum Dot
• Room temperature entanglement between distant single spins in diamond
• Electron Spin-Relaxation Times of Phosphorus Donors in Silicon
• Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
• Decoherence of flux qubits due to 1/f flux noise
• Quantum Coherence in a One-Electron Semiconductor Charge Qubit
• Relaxation, dephasing, and quantum control of electron spins in double quantum dots
• Electrometry Using Coherent Exchange Oscillations in a Singlet-Triplet-Qubit
• Decoherence and 1/f noise in Josephson qubits
• Charge echo in a Cooper-pair box
• Universal dynamical control of quantum mechanical decay: Modulation of the coupling to the continuum
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Dynamical decoupling noise spectroscopy
• Quantum control and process tomography of a semiconductor quantum dot hybrid qubit
• Open-System Dynamics of Entanglement
• Quantum noise in the Josephson charge qubit
• Atomic clock transitions in silicon-based spin qubits
• Nanoscale NMR Spectroscopy and Imaging of Multiple Nuclear Species
• Quantum theory for electron spin decoherence induced by nuclear spin dynamics in semiconductor quantum computer architectures: Spectral diffusion of localized electron spins in the nuclear solid-state environment
• Enhancing the Coherence of a Spin Qubit by Operating it as a Feedback Loop That Controls its Nuclear Spin Bath
• Theory of nuclear induced spectral diffusion: Spin decoherence of phosphorus donors in Si and GaAs quantum dots
• Reducing decoherence in quantum computer memory with all quantum bits coupling to the same environment
• Spectroscopy of Surface-Induced Noise Using Shallow Spins in Diamond
• Self-Consistent Measurement and State Tomography of an Exchange-Only Spin Qubit
• The Resonant Exchange Qubit
• Two-qubit Gate of Combined Single Spin Rotation and Inter-dot Spin Exchange in a Double Quantum Dot
• Single Ion Quantum Lock-In Amplifier
• Decoherence from spin environments
• Gaussian Decoherence from Random Spin Environments
• Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
• Spin-echo of a single electron spin in a quantum dot
• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Model for l/f Flux Noise in SQUIDs and Qubits
• Nanometre-scale probing of spin waves using single electron spins
• Effective Field Theory Approach to Gravitationally Induced Decoherence
• 1/f Flux Noise in Josephson Phase Qubits
• Singlet-triplet decoherence due to nuclear spins in a double quantum dot
• Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
• Nuclear spin pair coherence in diamond for atomic scale magnetometry
• Scaling of Dynamical Decoupling for Spin Qubits
• Optimal Dynamical Decoherence Control of a Qubit
• Charge fluctuation induced dephasing of exchange coupled spin qubits
• Dynamical decoupling sequence construction as a filter-design problem
• Low-frequency noise as a source of dephasing of a qubit
• Non-Gaussian low-frequency noise as a source of qubit decoherence
• Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation
• Dephasing of a superconducting flux qubit
• Low- and high-frequency noise from coherent two-level systems
• Dephasing of solid-state qubits at optimal points
• Observation of directly interacting coherent two-level systems in a solid
• Decoherence in Josephson-junction qubits due to critical current fluctuations
• Exact Results on Dynamical Decoupling by $\pi$-Pulses in Quantum Information Processes
• Evidence for interacting two-level systems from the 1/f noise of a superconducting resonator
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Gate fidelity and coherence of an electron spin in a Si/SiGe quantum dot with micromagnet
• Restoring Coherence Lost to a Slow Interacting Mesoscopic Bath
• Decoherence in qubits due to low-frequency noise
• Noise and decoherence in quantum two-level systems
• Electron spin decoherence in isotope-enriched silicon
• Quantum theory of spectral diffusion induced electron spin decoherence
• Rotating-frame relaxation as a noise spectrum analyzer of a superconducting qubit undergoing driven evolution
• Qubit noise spectroscopy for non-Gaussian dephasing environments
• Experimental on-demand recovery of entanglement by local operations within non-Markovian dynamics
• Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
• Interacting two-level defects as sources of fluctuating high-frequency noise in superconducting circuits
• Microscopic origin of low frequency flux noise in Josephson circuits
• The origin of switching noise in GaAs/AlGaAs lateral gated devices
• Three stage decoherence dynamics of electron spin qubits in an optically active quantum dot
• Coherence of Spin Qubits in Silicon
• Measurement of the Noise Spectrum Using a Multiple-Pulse Sequence
• Universal pulse sequence to minimize spin dephasing in the central spin decoherence problem
• Multiple-pulse coherence enhancement of solid state spin qubits
• Scanning probe microscopy with chemical contrast by nanoscale nuclear magnetic resonance
• Multiqubit Spectroscopy of Gaussian Quantum Noise
• Preserving qubit coherence by dynamical decoupling
• Decoherence from ensembles of two-level fluctuators
• Quantum computing by optical control of electron spins
• Dangling-bond spin relaxation and magnetic 1/f noise from the amorphous-semiconductor/oxide interface: Theory
• Preserving entanglement and nonlocality in solid-state qubits by dynamical decoupling
• Recovering Entanglement by Local Operations
• Dephasing of Si spin qubits due to charge noise
• Optimal pulse spacing for dynamical decoupling in the presence of a purely-dephasing spin-bath
• Universal dynamical decoherence control of noisy single-and multi-qubit systems
• Measurement of Temporal Correlations of the Overhauser Field in a Double Quantum Dot
• Quantum many-body theory of qubit decoherence in a finite-size spin bath. II. Ensemble dynamics
• Dynamics of quantum correlations in colored environments
• Spectroscopy of low-frequency noise and its temperature dependence in a superconducting qubit
• Notch filtering the nuclear environment of a spin qubit
• Radio-frequency magnetometry using a single electron spin
• Spurious harmonic response of multipulse quantum sensing sequences
• Complete disentanglement by partial pure dephasing
• Quantum Decoherence of the Central Spin in a Sparse System of Dipolar Coupled Spins
• Fluctuations of $1/f$ noise and the low frequency cutoff paradox
• Localization of Metal-Induced Gap States at the Metal-Insulator Interface:Origin of Flux Noise in SQUIDs and Superconducting Qubits
• Universal phase shift and non-exponential decay of driven single-spin oscillations
• Control of electron spin decoherence caused by electron-nuclear spin dynamics in a quantum dot
• Decay of Rabi oscillations by dipolar-coupled dynamical spin environments
• Line Broadening and Decoherence of Electron Spins in Phosphorus-Doped Silicon Due to Environmental 29^Si Nuclear Spins
• Flux qubit noise spectroscopy using Rabi oscillations under strong driving conditions
• Single Electron Spin Decoherence by Nuclear Spin Bath: Linked Cluster Expansion Approach
• Background charge fluctuation in a GaAs quantum dot device
• Spin decoherence and electron spin bath noise of a nitrogen-vacancy center in diamond
• Observation of anomalous decoherence effect in a quantum bath at room temperature
• Direct Measurement of the System-Environment Coupling as a Tool For Understanding Decoherence and Dynamical Decoupling
• Anomalous decoherence effect in a quantum bath
• Spectrum of the Nuclear Environment for GaAs Spin Qubits
• Optimized Dynamical Decoupling for Power Law Noise Spectra
• Application of Optimal Control to CPMG Refocusing Pulse Design
• Single Spin Magnetic Resonance
• Protection of quantum systems by nested dynamical decoupling
• Preventing Multipartite Disentanglement by Local Modulations
• Disentanglement and decoherence from classical non-Markovian noise: Random telegraph noise
• Quantum two level systems and Kondo-like traps as possible sources of decoherence in superconducting qubits
• Long-time Low-latency Quantum Memory by Dynamical Decoupling
• Entangled quantum probes for dynamical environmental noise
• Maximizing information on the environment by dynamically controlled qubit probes
• Spin interactions, relaxation and decoherence in quantum dots
• Models of environment and T_1 relaxation in Josephson Charge Qubits
• Converting a real quantum bath to an effective classical noise
• Dynamical decoupling noise spectroscopy at an optimal working point of a qubit
• Spectroscopy of cross-correlations of environmental noises with two qubits
• Advances in decoherence control
• Decoherence of a qubit by non-Gaussian noise at an arbitrary working point
• Dephasing of electron spin qubits due to their interaction with nuclei in quantum dots
• Decoherence of a qubit due to a quantum fluctuator or to a classical telegraph noise
• Telegraph Noise in Coupled Quantum Dot Circuits Induced by a Quantum Point Contact
• Characterization and measurement of qubit-environment entanglement generation during pure dephasing
• Quantum decoherence of a charge qubit in a spin-fermion model
• Exact solution for the dynamical decoupling of a qubit with telegraph noise
• Semi-classical model for the dephasing of a two-electron spin qubit coupled to a coherently evolving nuclear spin bath
• Quantum bath-driven decoherence of mixed spin systems
• Decoherence of spin qubits due to a nearby charge fluctuator in gate-defined double dots
• Quadrupolar and anisotropy effects on dephasing in two-electron spin qubits in GaAs
• Microscopic origin of critical current fluctuations in large, small and ultra-small area Josephson junctions
• Collapse and revival of quantum coherence for a harmonic oscillator interacting with a classical fluctuating environment
• Universal dynamical decoupling of multiqubit states from environment
• Microscopic models for charge-noise-induced dephasing of solid-state qubits
• The classical nature of nuclear spin noise near clock transitions of Bi donors in silicon
• Non-Gaussian dephasing in flux qubits due to 1/f-noise
• Low temperature 1/f noise in microwave dielectric constant of amorphous dielectrics in Josephson qubits
• Angstrom-resolution magnetic resonance imaging of single molecules via wavefunction fingerprints of nuclear spins
• Decoherence of an exchange qubit by hyperfine interaction
• Hyperfine interaction induced dephasing of coupled spin qubits in semiconductor double quantum dots
• The dynamics of two entangled qubits exposed to classical noise: role of spatial and temporal noise correlations
• Dynamics of entanglement of two electron spins interacting with nuclear spin baths in quantum dots
• Non-Gaussian signatures and collective effects in charge noise affecting a dynamically-decoupled qubit
• Phonon-mediated generation of quantum correlations between quantum dot qubits
• Dissipationless dynamics of randomly coupled spins at high temperatures
• Dynamical decoupling of a singlet-triplet qubit afflicted by a charge fluctuator
• Dynamical decoupling for a qubit in telegraph-like noises
• No-go theorem and optimization of dynamical decoupling against noise with soft cutoff

Cited by in corpus (88)

• A scheme for direct detection of qubit-environment entanglement generated during qubit pure dephasing
• One decade of quantum optimal control in the chopped random basis
• Nanoscale covariance magnetometry with diamond quantum sensors
• Is a quantum biosensing revolution approaching?
• Tensor-Network Approach for Quantum Metrology in Many-Body Quantum Systems
• Beyond Quantum Noise Spectroscopy: modelling and mitigating noise with quantum feature engineering
• Modelling semiconductor spin qubits and their charge noise environment for quantum gate fidelity estimation
• Simultaneous spectral estimation of dephasing and amplitude noise on a qubit sensor via optimally band-limited control
• Decoherence of two entangled spin qubits coupled to an interacting sparse nuclear spin bath: application to nitrogen vacancy centers
• On the dynamics of initially correlated open quantum systems: theory and applications
• Frame-Based Filter-Function Formalism for Quantum Characterization and Control
• Bayesian Quantum Noise Spectroscopy
• Interplay of charge noise and coupling to phonons in adiabatic electron transfer between quantum dots
• Adiabatic electron charge transfer between two quantum dots in presence of 1/f noise
• Extending comb-based spectral estimation to multiaxis quantum noise
• Equivalence of qubit-environment entanglement and discord generation via pure dephasing interactions and the consequences thereof
• Analyzing the impact of time-correlated noise on zero-noise extrapolation
• How to detect qubit-environment entanglement generated during qubit dephasing
• The dynamical-decoupling-based spatiotemporal noise spectroscopy
• Entanglement and objectivity in pure dephasing models
• Noise representations of open system dynamics
• Influence of nuclear spin polarization on spin echo signal of NV center qubit
• Trispectrum reconstruction of non-Gaussian noise
• Accuracy of dynamical-decoupling-based spectroscopy of Gaussian noise
• Resource-efficient digital characterization and control of classical non-Gaussian noise
• Noise Sensing via Stochastic Quantum Zeno
• Analytic Filter Function Derivatives for Quantum Optimal Control
• Invasiveness of non-equilibrium quantum thermometry
• Measuring trajectories of environmental noise
• Deep learning enhanced noise spectroscopy of a spin qubit environment
• Characterizing low-frequency qubit noise
• Indications of a soft cutoff frequency in the charge noise of a Si/SiGe quantum dot spin qubit
• Decoherence induced by a sparse bath of two-level fluctuators: peculiar features of $1/f$ noise in high-quality qubits
• Fourier Transform Noise Spectroscopy
• Spectroscopy of classical environmental noise with a qubit subjected to projective measurements
• Machine learning classification of non-Markovian noise disturbing quantum dynamics
• Noise Detection with Spectator Qubits and Quantum Feature Engineering
• Relationship between subjecting the qubit to dynamical decoupling and to a sequence of projective measurements
• Quantum Control Noise Spectroscopy with Optimal Suppression of Dephasing
• SPAM-Robust Multi-axis Quantum Noise Spectroscopy in Temporally Correlated Environments
• SchWARMA: A model-based approach for time-correlated noise in quantum circuits
• Non-Markovian transient spectroscopy in cavity QED
• Qubit-environment entanglement generation and the spin echo
• A measure of qubit environment entanglement for pure dephasing evolutions
• Qubit-environment Negativity versus Fidelity of conditional environmental states for an NV-center spin qubit interacting with a nuclear environment
• Efficient continuous wave noise spectroscopy beyond weak coupling
• Nonergodic measurements of qubit frequency noise
• Gate Operations for Superconducting Qubits and Non-Markovianity
• Qubit-environment entanglement outside of pure decoherence: hyperfine interaction
• Optimized continuous dynamical decoupling via differential geometry and machine learning
• Physics-informed tracking of qubit fluctuations
• Characterization of a quasi-static environment with a qubit
• A glimpse of objectivity in bipartite systems for non-entangling pure dephasing evolutions
• Digital noise spectroscopy with a quantum sensor
• Theory of Metastability in Discrete-Time Open Quantum Dynamics
• Cross-correlation spectra in interacting quantum dot systems
• Efficacy of noisy dynamical decoupling
• Localization of a magnetic moment using a two-qubit probe
• Fourth-order spin correlation function in the extended central spin model
• Measuring the environment of a Cs qubit with dynamical decoupling sequences
• Universal bounds for quantum metrology in the presence of correlated noise
• Transition between continuous and discrete spectra in dynamical-decoupling noise spectroscopy
• Spin-qubit noise spectroscopy from randomized benchmarking by supervised learning
• How coherence measurements of a qubit steer its quantum environment
• Statistics of projective measurement on a quantum probe as a witness of noncommutativity of algebra of a probed system
• Wavelet-resolved coherence beats in the Overhauser field of a thermal nuclear spin ensemble
• Creation and dynamics of spin fluctuations in a noisy magnetic field
• Quantum decoherence dynamics in stochastically fluctuating environments
• Time-dependent Rabi frequencies to protect quantum operations on an atomic qutrit by continuous dynamical decoupling
• Efficient Qubit Calibration by Binary-Search Hamiltonian Tracking
• Classical-quantum correspondence in the noise-based dissipative systems
• Suppressing classical noise in the accelerated geometric phase gate by optimized dynamical decoupling
• Coherent interaction-free detection of noise
• Decoherence-assisted detection of entanglement of two qubit states
• Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model
• Numerically exact quantum dynamics with tensor networks: Predicting the decoherence of interacting spin systems
• Intrinsic and induced quantum quenches for enhancing qubit-based quantum noise spectroscopy
• A generalized model of the noise spectrum of a two-level fluctuator in the presence of an electron subbath
• Sensing microscopic noise events by frequent quantum measurements
• Mitigating Source and Detection Noises in Auto-correlative Weak-Value Amplification
• A signature of quantumness in pure decoherence control
• Harnessing spin-qubit decoherence to probe strongly-interacting quantum systems
• Filter Function Formalism and Software Package to Compute Quantum Processes of Gate Sequences for Classical Non-Markovian Noise
• Efficient learning and optimizing non-Gaussian correlated noise in digitally controlled qubit systems
• Limitations on the maximal level of entanglement of two singlet-triplet qubits in GaAs quantum dots
• Color it, Code it, Cancel it: k-local dynamical decoupling from classical additive codes
• Qubit decoherence under two-axis coupling to low-frequency noises
• Multi-modal spectroscopy of order parameter distributions