Preserving qubit coherence by dynamical decoupling

Abstract

In quantum information processing, it is vital to protect the coherence of qubits in noisy environments. Dynamical decoupling (DD), which applies a sequence of flips on qubits and averages the qubit-environment coupling to zero, is a promising strategy compatible with other desired functionalities such as quantum gates. Here we review the recent progresses in theories of dynamical decoupling and experimental demonstrations. We give both semiclassical and quantum descriptions of the qubit decoherence due to coupling to noisy environments. Based on the quantum picture, a geometrical interpretation of DD is presented. The periodic Carr-Purcell-Meiboom-Gill DD and the concatenated DD are reviewed, followed by a detailed exploration of the recently developed Uhrig DD, which employs the least number of pulses in an unequally spaced sequence to suppress the qubit-environment coupling to a given order of the evolution time. Some new developments and perspectives are also discussed.

12 pages, 2 figures, submitted to Frontiers of Physics

References in corpus (55)

• The Physical Implementation of Quantum Computation
• Decoherence Free Subspaces for Quantum Computation
• Dynamical Decoupling of Open Quantum Systems
• Single-shot read-out of an individual electron spin in a quantum dot
• Dynamical suppression of decoherence in two-state quantum systems
• Electron spin relaxation by nuclei in semiconductor quantum dots
• Keeping a Quantum Bit Alive by Optimized $\pi$-Pulse Sequences
• Optimized Dynamical Decoupling in a Model Quantum Memory
• Fault-Tolerant Quantum Dynamical Decoupling
• Preserving coherence in quantum computation by pairing quantum bits
• How to Enhance Dephasing Time in Superconducting Qubits
• Allowed and forbidden transitions in artificial hydrogen and helium atoms
• Symmetrizing Evolutions
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• 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
• Dynamically Error-Corrected Gates for Universal Quantum Computation
• Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
• Bang-bang control of fullerene qubits using ultra-fast phase gates
• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Optimal Dynamical Decoherence Control of a Qubit
• Random decoupling schemes for quantum dynamical control and error suppression
• Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation
• Arbitrarily Accurate Dynamical Control in Open Quantum Systems
• Exact Results on Dynamical Decoupling by $\pi$-Pulses in Quantum Information Processes
• Restoring Coherence Lost to a Slow Interacting Mesoscopic Bath
• Optimal control of a qubit coupled to a non-Markovian environment
• Experimental Uhrig Dynamical Decoupling using Trapped Ions
• Universal pulse sequence to minimize spin dephasing in the central spin decoherence problem
• Multiple-pulse coherence enhancement of solid state spin qubits
• Near-optimal dynamical decoupling of a qubit
• Local observation of antibunching in a trapped Fermi gas
• Analog control of open quantum systems under arbitrary decoherence
• Quantum many-body theory of qubit decoherence in a finite-size spin bath. II. Ensemble dynamics
• Analytical Solution of Electron Spin Decoherence Through Hyperfine Interaction in a Quantum Dot
• Concatenated Control Sequences based on Optimized Dynamic Decoupling
• Control of electron spin decoherence caused by electron-nuclear spin dynamics in a quantum dot
• Single Electron Spin Decoherence by Nuclear Spin Bath: Linked Cluster Expansion Approach
• Optimized Dynamical Decoupling for Power Law Noise Spectra
• Concatenated dynamical decoupling in a solid-state spin bath
• Enhanced Convergence and Robust Performance of Randomized Dynamical Decoupling
• Effect of external magnetic field on electron spin dephasing induced by hyperfine interaction in quantum dots
• Controlling quantum systems by embedded dynamical decoupling schemes
• Dynamical control of electron spin coherence in a quantum dot
• Optimized, Unequal Pulse Spacing in Multiple Echo Sequences Improves Refocusing
• Optimization of Short Coherent Control Pulses
• Rigorous Bounds on the Performance of a Hybrid Dynamical Decoupling-Quantum Computing Scheme
• Simulating Hamiltonians in Quantum Networks: Efficient Schemes and Complexity Bounds
• Rigorous Bounds for Optimal Dynamical Decoupling
• Efficient Coherent Control by Optimized Sequences of Pulses of Finite Duration
• Towards optimized suppression of dephasing in systems subject to pulse timing constraints
• Universal Dynamical Decoupling: Two-Qubit States and Beyond
• Quantum Computing in the Presence of Detected Spontaneous Emission
• Non-Perturbative Bounds on Hyperfine-Induced Electron Spin Coherence Times
• Generalization of short coherent control pulses: extension to arbitrary rotations
• Optimized Dynamical Decoupling for Time Dependent Hamiltonians

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• Environmental noise spectroscopy with qubits subjected to dynamical decoupling
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• Robustness of dynamical decoupling sequences
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• Hamiltonian tomography for quantum many-body systems with arbitrary couplings
• Reducing sequencing complexity in dynamical quantum error suppression by Walsh modulation
• Quadratic Dynamical Decoupling: Universality Proof and Error Analysis
• Positioning Nuclear Spins in Interacting Clusters for Quantum Technologies and Bio-imaging
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• Decoherence control: Universal protection of two-qubit states and two-qubit gates using continuous driving fields
• Optimally combining dynamical decoupling and quantum error correction
• Delayed entanglement echo for individual control of a large number of nuclear spins
• Experimental protection of quantum gates against decoherence and control errors
• Soft Quantum Control for Highly Selective Interactions among Joint Quantum Systems
• Experimental emulation of quantum non-Markovian dynamics and coherence protection in the presence of information backflow
• Room-temperature ultra-sensitive mass spectrometer via dynamic decoupling
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• Necessary and sufficient condition for quantum adiabatic evolution by unitary control fields
• Spin coherence lifetime extension in Tm${}^{3+}$:YAG through dynamical decoupling
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• Breaking the quantum adiabatic speed limit by jumping along geodesics
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• Collective Nuclear Stabilization by Optically Excited Hole in Quantum Dot
• Protecting and Enhancing Spin Squeezing via Continuous Dynamical Decoupling
• Fully robust qubit in atomic and molecular three-level systems
• Clock transition by continuous dynamical decoupling of a three-level system
• Improving the estimation of environment parameters via initial probe-environment correlations
• Concatenated dynamical decoupling with virtual pulses
• Non-Markovian decoherence dynamics of the hybrid quantum system with a cavity strongly coupling to a spin ensemble: a master equation approach
• Faraday rotation echo spectroscopy and detection of quantum fluctuations
• Experimental demonstration of dynamical input isolation in nonadiabatically modulated photonic cavities
• Optimized Dynamical Decoupling Sequences in Protecting Two-Qubit States
• All-optical high-resolution magnetic resonance using a nitrogen-vacancy spin in diamond
• Quantum metrology enhanced by coherence-induced-driving in a cavity QED setup
• Precise Spectroscopy of High-Frequency Oscillating Fields with a Single-Qubit Sensor
• Dynamical Decoupling in Optical Fibers: Preserving Polarization Qubits from Birefringent Dephasing
• Space-time dual quantum Zeno effect: Interferometric engineering of open quantum system dynamics
• Fast coherent control of an NV- spin ensemble using a KTaO3 dielectric resonator at cryogenic temperatures
• Quenched decoherence in qubit dynamics due to strong amplitude-damping noise
• Robust Quantum Control via Multipath Interference for Thousandfold Phase Amplification in a Resonant Atom Interferometer
• Enhancing the robustness of dynamical decoupling sequences with correlated random phases
• Universality proof and analysis of generalized nested Uhrig dynamical decoupling
• Limits to Quantum Gate Fidelity from Near-Field Thermal and Vacuum Fluctuations
• Phonon induced spin squeezing based on geometric phase
• Experimental protection of arbitrary states in a two-qubit subspace by nested Uhrig dynamical decoupling
• Short cycle pulse sequence for dynamical decoupling of local fields and dipole-dipole interactions
• No-go theorem and optimization of dynamical decoupling against noise with soft cutoff
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• Improving quantum parameter estimation by monitoring quantum trajectories
• Protecting logical qubits with dynamical decoupling
• Atomic-scale positioning of single spins via multiple nitrogen-vacancy centers
• Scalable quantum information transfer between nitrogen-vacancy-center ensembles
• Extending quantum control of time-independent systems to time-dependent systems
• Enhanced quantum sensing with multi-level structures of trapped ions
• Dynamical decoupling with tailored waveplates for long distance communication using polarization qubits
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• Local gradient optimization of leakage-suppressing entangling sequences
• Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model
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• Detecting ground-state degeneracy in many-body systems through qubit decoherence