Comparison of dynamical decoupling protocols for a nitrogen-vacancy center in diamond

Abstract

We perform a detailed theoretical-experimental study of the dynamical decoupling (DD) of the nitrogen-vacancy (NV) center in diamond. We investigate the DD sequences applied to suppress the dephasing of the electron spin of the NV center induced by the coupling to a spin bath composed of the substitutional nitrogen atoms. The decoupling efficiency of various DD schemes is studied, including both periodic and periodic pulse sequences. For ideal control pulses, we find that the DD protocols with the Carr-Purcell-Meiboom-Gill (CPMG) timing of the pulses provides best performance. We show that, as the number of control pulses increases, the decoupling fidelity scaling differs qualitatively from the predictions of the Magnus expansion, and explain the origin of this difference. In particular, more advanced symmetrized or concatenated protocols do not improve the DD performance. Next, we investigate the impact of the systematic instrumental pulse errors in different periodic and aperiodic pulse sequences. The DD protocols with the single-axis control do not preserve all spin components in the presence of the pulse errors, and the two-axis control is needed. We demonstrate that the two-axis control sequence with the CPMG timing is very robust with respect to the pulse errors. The impact of the pulse errors can be diminished further by symmetrizing this protocol. For all protocols studied here, we present a detailed account of the pulse error parameters which make strongest impact on the DD performance. In conclusion, we give specific recommendations about choosing the decoupling protocol for the system under investigation.

arXiv comment16 pages, 11 figures

References in corpus (61)

• High-sensitivity diamond magnetometer with nanoscale resolution
• Dynamical suppression of decoherence in two-state quantum systems
• Sensing electric fields using single diamond spins
• Universal dynamical decoupling of a single solid-state spin from a spin bath
• Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate
• High-fidelity projective readout of a solid-state spin quantum register
• Keeping a Quantum Bit Alive by Optimized $\pi$-Pulse Sequences
• Optimized Dynamical Decoupling in a Model Quantum Memory
• Room temperature coherent control of coupled single spins in solid
• Fault-Tolerant Quantum Dynamical Decoupling
• How to Enhance Dephasing Time in Superconducting Qubits
• Scalable quantum register based on coupled electron spins in a room temperature solid
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Solid state quantum memory using the 31P nuclear spin
• Extending Quantum Coherence in Diamond
• Fault-tolerant Quantum Communication with Minimal Physical Requirements
• Stark shift control of single optical centers in diamond
• Universal Control of Decoupled Quantum Systems
• Robust dynamical decoupling with bounded controls
• Robust dynamical decoupling for quantum computing and quantum memory
• Coherent Population Trapping of Single Spins in Diamond Under Optical Excitation
• Dynamical Decoupling of a single electron spin at room temperature
• Theory of nuclear induced spectral diffusion: Spin decoherence of phosphorus donors in Si and GaAs quantum dots
• Design of Strongly Modulating Pulses to Implement Precise Effective Hamiltonians for Quantum Information Processing
• Dynamic decoherence control of a solid-state nuclear quadrupole qubit
• Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
• Bang-bang control of fullerene qubits using ultra-fast phase gates
• Single-spin magnetometry with multi-pulse sensing sequences
• Electron spin decoherence of single Nitrogen-Vacancy defects in diamond
• Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation
• Exact Results on Dynamical Decoupling by $\pi$-Pulses in Quantum Information Processes
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Robust control of individual nuclear spins in diamond
• Sensing of Fluctuating Nanoscale Magnetic Fields Using NV Centres in Diamond
• Electron spin decoherence in isotope-enriched silicon
• Quantum theory of spectral diffusion induced electron spin decoherence
• Experimental Uhrig Dynamical Decoupling using Trapped Ions
• Interlaced Dynamical Decoupling and Coherent Operation of a Singlet-Triplet Qubit
• Nuclear Spins in Nanostructures
• Near-optimal dynamical decoupling of a qubit
• Performance comparison of dynamical decoupling sequences for a qubit in a rapidly fluctuating spin-bath
• Coherence and control of quantum registers based on electronic spin in a nuclear spin bath
• Concatenated Control Sequences based on Optimized Dynamic Decoupling
• Imaging mesoscopic nuclear spin noise with a diamond magnetometer
• Control of electron spin decoherence caused by electron-nuclear spin dynamics in a quantum dot
• Scanning Quantum Decoherence Microscopy
• Decay of Rabi oscillations by dipolar-coupled dynamical spin environments
• Single Electron Spin Decoherence by Nuclear Spin Bath: Linked Cluster Expansion Approach
• Optimized Dynamical Decoupling for Power Law Noise Spectra
• Long-time electron spin storage via dynamical suppression of hyperfine-induced decoherence in a quantum dot
• Dynamical control of qubit coherence: Random versus deterministic schemes
• Detection of the Meissner Effect with a Diamond Magnetometer
• Dynamical control of electron spin coherence in a quantum dot
• Measuring errors in single qubit rotations by pulsed electron paramagnetic resonance
• Effect of pulse error accumulation on dynamical decoupling of the electron spins of phosphorus donors in silicon
• Reducing sequencing complexity in dynamical quantum error suppression by Walsh modulation
• Master equation approach to the central spin decoherence problem: the uniform coupling model and the role of projection operators
• Scalable design of tailored soft pulses for coherent control
• Bootstrap tomography of high-precision pulses for quantum control
• Pointer States via Engineered Dissipation
• Aperiodic dynamical decoupling sequences in presence of pulse errors

Cited by in corpus (71)

• Sensitivity Optimization for NV-Diamond Magnetometry
• Origins of diamond surface noise probed by correlating single spin measurements with surface spectroscopy
• Sensing distant nuclear spins with a single electron spin
• Dynamical decoupling for superconducting qubits: a performance survey
• Locking of electron spin coherence over fifty milliseconds in natural silicon carbide
• Single-molecule Scale Magnetic Resonance Spectroscopy using Nitrogen-Vacancy Centers in Diamond
• Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
• Optimizing a Dynamical Decoupling Protocol for Solid-State Electronic Spin Ensembles in Diamond
• Quantum Decoherence of the Central Spin in a Sparse System of Dipolar Coupled Spins
• Spin decoherence and electron spin bath noise of a nitrogen-vacancy center in diamond
• Narrow-bandwidth sensing of high-frequency fields with continuous dynamical decoupling
• Continuous dynamical decoupling of a single diamond nitrogen-vacancy center spin with a mechanical resonator
• Optical storage for 0.53 seconds in a solid-state atomic frequency comb memory using dynamical decoupling
• Long-time Low-latency Quantum Memory by Dynamical Decoupling
• Systematic study of defect-related quenching of NV luminescence in diamond with time correlated single photon counting spectroscopy
• Time-Optimal Universal Control of Two-Level Systems under Strong Driving
• Fast dynamical decoupling of the Molmer-Sorensen entangling gate
• Optimal control of fast and high-fidelity quantum gates with electron and nuclear spins of a nitrogen-vacancy center in diamond
• Optimized Dynamical Decoupling via Genetic Algorithms
• Zero- and Low-Field Sensing with Nitrogen Vacancy Centers
• Quantum Control for Nanoscale Spectroscopy With Diamond Nitrogen-Vacancy Centers: A Short Review
• Multidimensional cluster states using a single spin-photon interface coupled strongly to an intrinsic nuclear register
• Optimal control of a nitrogen-vacancy spin ensemble in diamond for sensing in the pulsed domain
• Spin dynamical decoupling for generating macroscopic superpositions of a free-falling nanodiamond
• Fully robust qubit in atomic and molecular three-level systems
• Clock transition by continuous dynamical decoupling of a three-level system
• Magnetic Noise Enabled Biocompass
• Hamiltonian Engineering with Constrained Optimization for Quantum Sensing and Control
• The non-vanishing effect of detuning errors in dynamical decoupling based quantum sensing experiments
• Optimisation of diamond quantum processors
• Decay of the rotary echoes for the spin of a nitrogen-vacancy center in diamond
• Low-control and robust quantum refrigerator and applications with electronic spins in diamond
• Thermodynamic Constraints on Quantum Information Gain and Error Correction: A Triple Trade-Off
• Detecting magnetic fields using Nitrogen-Vacancy Centers
• Precise high-fidelity electron-nuclear spin entangling gates in NV centers via hybrid dynamical decoupling sequences
• Keeping a spin qubit alive in natural silicon: Comparing optimal working points and dynamical decoupling
• Uniaxial dynamical decoupling for an open quantum system
• Spin ensemble-based AC magnetometry using concatenated dynamical decoupling at low temperatures
• Noise in optical quantum memories based on dynamical decoupling of spin states
• Quantum bath control with nuclear spin state selectivity via pulse-adjusted dynamical decoupling
• Absorption-based Quantum Communication with NV centres
• Coherent control of an NV${}^{-}$ center with one adjacent 13C
• High-Fidelity Electron Spin Gates for Scaling Diamond Quantum Register
• Qubit teleportation between a memory-compatible photonic time-bin qubit and a solid-state quantum network node
• Path integral framework for characterizing and controlling decoherence induced by non-stationary environments on a quantum probe
• Optimizing the Electrical Interface for Large-Scale Color-Center Quantum Processors
• Optimal digital dynamical decoupling for general decoherence via Walsh modulation
• Noisy Coherent Population Trapping: Applications to Noise Estimation and Qubit State Preparation
• Long-lived selective spin echoes in dipolar solids under periodic and aperiodic pi-pulse trains
• Control of solid-state nuclear spin qubits using an electron spin-1/2
• Generation of genuine all-way entanglement in defect-nuclear spin systems through dynamical decoupling sequences
• Experimental Simulation of Hybrid Quantum Systems and Entanglement on a Quantum Computer
• Observation of nonlinear spin dynamics and squeezing in a BEC using dynamic decoupling
• Robust gates with spin-locked superconducting qubits
• Empirical learning of dynamical decoupling on quantum processors
• Investigation of room temperature multispin-assisted bulk diamond 13C hyperpolarization at low magnetic fields
• Qubit guidelines for solid-state spin defects
• A spinless spin qubit
• Quantum Sensing Enhancement through a Nuclear Spin Register in Nitrogen-Vacancy Centers in Diamond
• Enhanced quantum sensing with multi-level structures of trapped ions
• Cross-entangling electronic and nuclear spins of distant nitrogen-vacancy centers in noisy environments by means of quantum microwave radiation
• Individually-addressed quantum gate interactions using dynamical decoupling
• Investigation and comparison of measurement schemes in the low frequency biosensing regime using solid-state defect centers
• $CdT{e}_{0.25}S{e}_{0.75}$ Quantum Dots as Efficient Room Temperature Single Photon Source for Quantum Technology
• Quantum decoherence of nitrogen-vacancy spin ensembles in a nitrogen spin bath in diamond under dynamical decoupling
• Persistent subradiant correlations in a random driven Dicke model
• High-fidelity control of a ${}^{13}$C nuclear spin coupled to a tin-vacancy center in diamond
• Towards a test of quantum gravity with a levitated nanodiamond containing a spin
• Efficiency of optimal control for noisy spin qubits in diamond
• Proposed rapid detection of nuclear spins with entanglement-enhanced sensors
• Color it, Code it, Cancel it: k-local dynamical decoupling from classical additive codes