Random decoupling schemes for quantum dynamical control and error suppression
arXiv:quant-ph/0511120 · doi:10.1103/PhysRevLett.94.060502
Abstract
We present a general control-theoretic framework for constructing and analyzing random decoupling schemes, applicable to quantum dynamical control of arbitrary finite-dimensional composite systems. The basic idea is to design the control propagator according to a random rather than deterministic path on a group. We characterize the performance of random decoupling protocols, and identify control scenarios where they can significantly weaken time scale requirements as compared to cyclic counterparts. Implications for reliable quantum computation are discussed.
9 pages, no figures
References in corpus (1)
Cited by in corpus (123)
- Noisy intermediate-scale quantum (NISQ) algorithms
- Control of quantum phenomena: Past, present, and future
- Quantum Error Correction for Beginners
- Keeping a Quantum Bit Alive by Optimized -Pulse Sequences
- Dynamics of Loschmidt echoes and fidelity decay
- Noise tailoring for scalable quantum computation via randomized compiling
- Dynamically Error-Corrected Gates for Universal Quantum Computation
- Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
- Digital zero noise extrapolation for quantum error mitigation
- Dynamical decoupling sequence construction as a filter-design problem
- Review of Decoherence Free Subspaces, Noiseless Subsystems, and Dynamical Decoupling
- Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation
- Arbitrarily Accurate Dynamical Control in Open Quantum Systems
- Restoring Coherence Lost to a Slow Interacting Mesoscopic Bath
- High fidelity quantum gates via dynamical decoupling
- Dynamical decoupling for superconducting qubits: a performance survey
- Preserving qubit coherence by dynamical decoupling
- Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
- Mitiq: A software package for error mitigation on noisy quantum computers
- Combining dynamical decoupling with fault-tolerant quantum computation
- Experimental high-dimensional Greenberger-Horne-Zeilinger entanglement with superconducting transmon qutrits
- Dynamical Quantum Error Correction of Unitary Operations with Bounded Controls
- Randomized benchmarking of single and multi-qubit control in liquid-state NMR quantum information processing
- Control of electron spin decoherence caused by electron-nuclear spin dynamics in a quantum dot
- Controllability of open quantum systems with Kraus-map dynamics
- Hyperfine interaction induced decoherence of electron spins in quantum dots
- The effect of noise correlations on randomized benchmarking
- High threshold codes for neutral atom qubits with biased erasure errors
- Concatenated dynamical decoupling in a solid-state spin bath
- Quantum Chaos, Delocalization, and Entanglement in Disordered Heisenberg Models
- Long-time Low-latency Quantum Memory by Dynamical Decoupling
- Enhanced Convergence and Robust Performance of Randomized Dynamical Decoupling
- Physics-informed neural networks for quantum control
- 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
- Controlling quantum systems by embedded dynamical decoupling schemes
- Decay of highly-correlated spin states in a dipolar-coupled solid
- Dynamical control of electron spin coherence in a quantum dot
- Consensus for Quantum Networks: From Symmetry to Gossip Iterations
- Distinguishing decoherence from alternative quantum theories by dynamical decoupling
- Keeping a Single Qubit Alive by Experimental Dynamic Decoupling
- Rigorous Bounds on the Performance of a Hybrid Dynamical Decoupling-Quantum Computing Scheme
- Reducing sequencing complexity in dynamical quantum error suppression by Walsh modulation
- Coherent Control of Quantum Dynamics with Sequences of Unitary Phase-Kick Pulses
- Decoherence by Correlated Noise and Quantum Error Correction
- Parameter Estimation with Mixed-State Quantum Computation
- One bound to rule them all: from Adiabatic to Zeno
- High fidelity quantum memory via dynamical decoupling: theory and experiment
- Wavefunction considerations for the central spin decoherence problem in a nuclear spin bath
- Towards optimized suppression of dephasing in systems subject to pulse timing constraints
- Advantages of Randomization in Coherent Quantum Dynamical Control
- Dynamical Decoupling of Unbounded Hamiltonians
- Equivalent qubit dynamics under classical and quantum noise
- Equivalence between Redfield and master equation approaches for a time-dependent quantum system and coherence control
- Dynamics of spatially indistinguishable particles and entanglement protection
- Quantum Circuit Engineering for Correcting Coherent Noise
- Entanglement generation and protection by detuning modulation
- Transport Control in Low-Dimensional Spin-1/2 Heisenberg Systems
- Averaged circuit eigenvalue sampling
- Pointer States via Engineered Dissipation
- High-fidelity spin qubit shuttling via large spin-orbit interaction
- Entanglement robustness via spatial deformation of identical particle wave functions
- Steady Fock states via atomic reservoir
- Effect of system level structure and spectral distribution of the environment on the decoherence rate
- Suppression of polarization decoherence for traveling light pulses via bang-bang dynamical decoupling
- Optimal Dynamical Decoupling Sequence for Ohmic Spectrum
- Cut-and-paste restoration of entanglement transmission
- Steady entanglements in bosonic dissipative networks
- Quantum Logic Gate Synthesis as a Markov Decision Process
- Hamiltonian quantum simulation with bounded-strength controls
- Steady many-body entanglements in dissipative systems
- Dynamical Decoupling and Homogenization of continuous variable systems
- Benchmarking quantum gates and circuits
- Uniaxial dynamical decoupling for an open quantum system
- Indistinguishability-enhanced entanglement recovery by spatially localized operations and classical communication
- Topological Dynamical Decoupling
- Random Control over Quantum Open Systems
- A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence
- Unification of Random Dynamical Decoupling and the Quantum Zeno Effect
- Frequency estimation under non-Markovian spatially correlated quantum noise: Restoring superclassical precision scaling
- On the freedom in representing quantum operations
- Randomized Dynamical Decoupling Techniques for Coherent Quantum Control
- Suppression of electron spin decoherence in a quantum dot
- Robust engineering of maximally entangled states by identical particle interferometry
- Dynamical decoupling induced renormalization of the non-Markovian dynamics
- Dissipative phonon Fock state production in strong nonlinear optomechanics
- Qubit-environment entanglement outside of pure decoherence: hyperfine interaction
- Quantumness and speedup limit of a qubit under transition frequency modulation
- Protecting dissipative quantum state preparation via dynamical decoupling
- Selective recoupling and stochastic dynamical decoupling
- The double Caldeira-Leggett model: Derivation and solutions of the master equations, reservoir-induced interactions and decoherence
- Observability of fidelity decay at the Lyapunov rate in few-qubit quantum simulations
- Efficacy of noisy dynamical decoupling
- Protecting logical qubits with dynamical decoupling
- Entanglement Protection via Periodic Environment Resetting in Continuous Time Quantum Dynamical Processes
- Extending quantum control of time-independent systems to time-dependent systems
- Quantum error mitigation by layerwise Richardson extrapolation
- Quantitative Treatment of Decoherence
- Experimental demonstration of Pauli-frame randomization on a superconducting qubit
- Manipulation of the dynamics of many-body systems via quantum control methods
- Efficient Chromatic-Number-Based Multi-Qubit Decoherence and Crosstalk Suppression
- Estimating the bias of CX gates via character randomized benchmarking
- The lower bound to the concurrence for four-qubit W state under noisy channels
- Optimized pulse sequences for suppressing unwanted transitions in quantum systems
- Quantum Features of the Thermal Two-Qubit Quantum Rabi Model in Ultra- and Deep-Strong Regimes
- Effects of stochastic noise on dynamical decoupling procedures
- Virtual Z gates and symmetric gate compilation
- Dynamical control of quantum systems in the context of mean ergodic theorems
- A Method for Generating All Uniform -Pulse Sequences Used in Deterministic Dynamical Decoupling
- Dynamical decoupling of interacting spins through group factorization
- Reduced coupling with global pulses in quantum registers
- Bath Dynamical Decoupling with a Quantum Channel
- Stabilization of quantum information by combined dynamical decoupling and detected-jump error correction
- Randomized control of open quantum systems
- Protection of noisy multipartite entangled states of superconducting qubits via universally robust dynamical decoupling schemes
- Digital Zero-Noise Extrapolation with Quantum Circuit Unoptimization
- Robustly decorrelating errors with mixed quantum gates
- Controlling Quantum Coherence of V-type Atom in Dissipative Cavity by Detuning and Weak Measurement Reversal
- Dynamics and Control of Two Coupled Quantum Oscillators: An Analytical Approach
- Enhanced squeezing with parity kicks
- Some aspects of the interplay between bipartite correlations and quantum channels
- Quantum sensing in the fractional Fourier domain
- Non-adiabatic holonomic quantum computation in linear system-bath coupling