Dynamically Error-Corrected Gates for Universal Quantum Computation
arXiv:0810.0698 · doi:10.1103/PhysRevLett.102.080501
Abstract
Scalable quantum computation in realistic devices requires that precise control can be implemented efficiently in the presence of decoherence and operational errors. We propose a general constructive procedure for designing robust unitary gates on an open quantum system without encoding or measurement overhead. Our results allow for a low-level error correction strategy solely based on Hamiltonian engineering using realistic bounded-strength controls and may substantially reduce implementation requirements for fault-tolerant quantum computing architectures.
5 pages, 3 figures
References in corpus (21)
- Dynamical Decoupling of Open Quantum Systems
- Dynamical suppression of decoherence in two-state quantum systems
- Quantum Computing with Very Noisy Devices
- Reliable Quantum Computers
- Fault-Tolerant Quantum Dynamical Decoupling
- Overhead and noise threshold of fault-tolerant quantum error correction
- Universal Control of Decoupled Quantum Systems
- Robust dynamical decoupling with bounded controls
- Design of Strongly Modulating Pulses to Implement Precise Effective Hamiltonians for Quantum Information Processing
- Arbitrarily accurate composite pulses
- Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
- Random decoupling schemes for quantum dynamical control and error suppression
- Reexamination of Quantum Bit Commitment: the Possible and the Impossible
- Fault-Tolerant Computing With Biased-Noise Superconducting Qubits
- Distance Bounds on Quantum Dynamics
- Optimization of Short Coherent Control Pulses
- Rigorous Bounds on the Performance of a Hybrid Dynamical Decoupling-Quantum Computing Scheme
- Arbitrary precision composite pulses for NMR quantum computing
- Scalable design of tailored soft pulses for coherent control
- Soft-pulse dynamical decoupling in a cavity
- Second-order shaped pulses for solid-state quantum computation
Cited by in corpus (161)
- Noisy intermediate-scale quantum (NISQ) algorithms
- Optimal Hamiltonian Simulation by Quantum Signal Processing
- Quantum error correction in a solid-state hybrid spin register
- A compact ion-trap quantum computing demonstrator
- Robust dynamical decoupling for quantum computing and quantum memory
- Comparing, Optimising and Benchmarking Quantum Control Algorithms in a Unifying Programming Framework
- Enhancing the Coherence of a Spin Qubit by Operating it as a Feedback Loop That Controls its Nuclear Spin Bath
- OpenQASM 3: A broader and deeper quantum assembly language
- Modeling and Control of Quantum Systems: An Introduction
- Robust dynamical decoupling
- Layered architecture for quantum computing
- Noise Resilience of Variational Quantum Compiling
- Dynamical decoupling sequence construction as a filter-design problem
- Plug-and-Play Approach to Non-adiabatic Geometric Quantum Gates
- Arbitrarily Accurate Dynamical Control in Open Quantum Systems
- Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation
- High fidelity quantum gates via dynamical decoupling
- Experimental noise filtering by quantum control
- Arbitrary quantum control of qubits in the presence of universal noise
- Nuclear Spins in Nanostructures
- Optimal Control for Generating Quantum Gates in Open Dissipative Systems
- Quantum metrology with full and fast quantum control
- Preserving qubit coherence by dynamical decoupling
- Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
- A General Transfer-Function Approach to Noise Filtering in Open-Loop Quantum Control
- Combining dynamical decoupling with fault-tolerant quantum computation
- Optimal pulse spacing for dynamical decoupling in the presence of a purely-dephasing spin-bath
- Local observation of antibunching in a trapped Fermi gas
- Analog control of open quantum systems under arbitrary decoherence
- Protected quantum computing: Interleaving gate operations with dynamical decoupling sequences
- Dynamical Quantum Error Correction of Unitary Operations with Bounded Controls
- Robustness of composite pulses to time-dependent control noise
- Long-Range Interaction of Spin-Qubits via Ferromagnets
- Dynamical decoupling leads to improved scaling in noisy quantum metrology
- High-order noise filtering in nontrivial quantum logic gates
- Closed-loop control of a GaAs-based singlet-triplet spin qubit with 99.5% gate fidelity and low leakage
- Long-time Low-latency Quantum Memory by Dynamical Decoupling
- Maximizing information on the environment by dynamically controlled qubit probes
- Demonstrating a long-coherence dual-rail erasure qubit using tunable transmons
- Demonstration of algorithmic quantum speedup
- Automated Synthesis of Dynamically Corrected Quantum Gates
- Implementation of dynamically corrected gates for single-spin qubits
- Geometric formalism for constructing arbitrary single-qubit dynamically corrected gates
- A decoherence-free subspace in a charge quadrupole qubit
- Robust Quantum Control in Games: an Adversarial Learning Approach
- Error-robust quantum logic optimization using a cloud quantum computer interface
- The fastest pulses that implement dynamically corrected gates
- Coherent spin dynamics of ytterbium ions in yttrium orthosilicate
- Reducing sequencing complexity in dynamical quantum error suppression by Walsh modulation
- Optimally band-limited spectroscopy of control noise using a qubit sensor
- Dynamical decoupling sequences for multi-qubit dephasing suppression and long-time quantum memory
- Beyond Quantum Noise Spectroscopy: modelling and mitigating noise with quantum feature engineering
- Protocol for a resonantly-driven three-qubit Toffoli gate with silicon spin qubits
- On fault-tolerance with noisy and slow measurements
- High-fidelity gates in quantum dot spin qubits
- Efficient Coherent Control by Optimized Sequences of Pulses of Finite Duration
- Decoherence control: Universal protection of two-qubit states and two-qubit gates using continuous driving fields
- Real-time calibration with spectator qubits
- Optimized Dynamical Decoupling via Genetic Algorithms
- Geometrical Formalism for Dynamically Corrected Gates in Multiqubit Systems
- Towards optimized suppression of dephasing in systems subject to pulse timing constraints
- Experimental protection of quantum gates against decoherence and control errors
- Characterization of control noise effects in optimal quantum unitary dynamics
- Hidden Inverses: Coherent Error Cancellation at the Circuit Level
- Universally Robust Quantum Control
- Robust quantum gates for stochastic time-varying noise
- Simultaneous spectral estimation of dephasing and amplitude noise on a qubit sensor via optimally band-limited control
- Engineering Effective Hamiltonians
- Frame-Based Filter-Function Formalism for Quantum Characterization and Control
- Programmable quantum simulation by dynamic Hamiltonian engineering
- Suppressing ZZ Crosstalk of Quantum Computers through Pulse and Scheduling Co-Optimization
- Dynamically Corrected Nonadiabatic Holonomic Quantum Gates
- Optimized pulses for the control of uncertain qubits
- Effects of time reversal symmetry in dynamical decoupling
- Dynamically corrected gates suppress spatio-temporal error correlations as measured by randomized benchmarking
- Protecting and Enhancing Spin Squeezing via Continuous Dynamical Decoupling
- Task-dependent control of open quantum systems
- Directly accessible entangling gates for capacitively coupled singlet-triplet qubits
- Stochastic learning control of inhomogeneous quantum ensembles
- Suppressing Coherent Two-Qubit Errors via Dynamical Decoupling
- Adiabatic evolution under quantum control
- Quantum control with noisy fields: computational complexity vs. sensitivity to noise
- Pointer States via Engineered Dissipation
- Robustness of quantum algorithms against coherent control errors
- Resource-efficient digital characterization and control of classical non-Gaussian noise
- High Order Coherent Control Sequences of Finite-Width Pulses
- Process tomography of Robust Dynamical Decoupling in Superconducting Qubits
- Universal set of scalable dynamically corrected gates for quantum error correction with always-on qubit couplings
- Protecting solid-state spins from strongly coupled environment
- Suppressing Correlated Noise in Quantum Computers via Context-Aware Compiling
- Hamiltonian quantum simulation with bounded-strength controls
- Quantum Logic Gate Synthesis as a Markov Decision Process
- Dynamical decoupling of a qubit with always-on control fields
- Algorithms for perturbative analysis and simulation of quantum dynamics
- Noise Detection with Spectator Qubits and Quantum Feature Engineering
- Noise and Controllability: suppression of controllability in large quantum systems
- Quantum computing through the lens of control: A tutorial introduction
- Uniaxial dynamical decoupling for an open quantum system
- Quantum Control Noise Spectroscopy with Optimal Suppression of Dephasing
- Designing dynamically corrected gates robust to multiple noise sources using geometric space curves
- Protecting the operation from general and residual errors by continuous dynamical decoupling
- Topological Dynamical Decoupling
- Dissipative variational quantum algorithms for Gibbs state preparation
- Dynamically corrected gates in silicon singlet-triplet spin qubits
- Comparative study of quantum error correction strategies for the heavy-hexagonal lattice
- Experimental graybox quantum system identification and control
- Autonomous adaptive noise characterization in quantum computers
- Hamiltonian engineering for robust quantum state transfer and qubit readout in cavity QED
- Filter design for hybrid spin gates
- Efficient continuous wave noise spectroscopy beyond weak coupling
- Single-tone pulse sequences and robust two-tone shaped pulses for three silicon spin qubits with always-on exchange
- Coherent Control with User-Defined Passage
- Path integral framework for characterizing and controlling decoherence induced by non-stationary environments on a quantum probe
- Multi-qubit gates protected by adiabaticity and dynamical decoupling applicable to donor qubits in silicon
- Optimal digital dynamical decoupling for general decoherence via Walsh modulation
- High-fidelity gate operations for quantum computing beyond dephasing time limits
- Robust nonadiabatic geometric quantum computation by dynamical correction
- Mitigating controller noise in quantum gates using optimal control theory
- Designing arbitrary single-axis rotations robust against perpendicular time-dependent noise
- Dynamically corrected gates for qubits with always-on Ising couplings: Error model and fault-tolerance with the toric code
- Continuous dynamical decoupling of spin chains: modulating the spin-environment and spin-spin interactions
- The Concept of Spin Ice Graphs and a Field Theory for their Topological Monopoles and Charges
- Platonic dynamical decoupling sequences for interacting spin systems
- Quadrupole transitions and quantum gates protected by continuous dynamic decoupling
- Quantum Gates Robust to Secular Amplitude Drifts
- Geometric correspondence of noisy quantum dynamics and universal robust quantum gates
- High-fidelity two-qubit gates via dynamical decoupling of local 1/f noise at optimal point
- Quantum computation in silicon-vacancy centers based on nonadiabatic geometric gates protected by dynamical decoupling
- Limitations to Dynamical Error Suppression and Gate-Error Virtualization from Temporally Correlated Nonclassical Noise
- Efficacy of noisy dynamical decoupling
- Quantum Control of d-Dimensional Quantum Systems with Application to Alkali Atomic Spins
- Extending quantum control of time-independent systems to time-dependent systems
- Minimal Time Robust Control for Two Superconducting Qubits
- Continuous dynamical decoupling and decoherence-free subspaces for qubits with tunable interaction
- The role of master clock stability in scalable quantum information processing
- Protection of quantum evolutions under parity-time symmetric non-Hermitian Hamiltonians by dynamical decoupling
- A functional basis for efficient physical-layer classical control in quantum processors
- Quantum spectral analysis by continuous measurement of Landau-Zener transitions
- Robust Nonadiabatic Holonomic Quantum Gates on Decoherence-Protected Qubits
- A diverse set of two-qubit gates for spin qubits in semiconductor quantum dots
- Unifying non-Markovian characterisation with an efficient and self-consistent framework
- Lindblad-like quantum tomography for non-Markovian quantum dynamical maps
- Control over few photon pulses by a time-periodic modulation of the photon-emitter coupling
- Anomalous behavior of control pulses in presence of noise with singular autocorrelation
- Universal set of Dynamically Protected Gates for Bipartite Qubit Networks II: Soft Pulse Implementation of the [[5,1,3]] Quantum Error Correcting Code
- Dynamical-Corrected Nonadiabatic Geometric Quantum Computation
- Higher-order protection of quantum gates: Hamiltonian engineering coordinated with dynamical decoupling
- Dynamical decoupling of interacting spins through group factorization
- Enhanced Quantum Signal Control and Sensing Under Multicolored Noise via Generalized Filter Function Framework
- Coherent Generation and Protection of Anticoherent Spin States
- Model validation and error attribution for a drifting qubit
- Pulse-controlled quantum gate sequences on a strongly coupled qubit chain
- An automated geometric space curve approach for designing dynamically corrected gates
- Hybrid acousto-optical spin control in quantum dots
- O(1) benchmarking of precise rotation in a spin-squeezed Bose-Einstein condensate
- Efficient learning and optimizing non-Gaussian correlated noise in digitally controlled qubit systems
- Geometric and holonomic quantum computation
- Robust Dynamical Decoupling for the Manipulation of a Spin Network via a Single Spin
- Filter Function Formalism and Software Package to Compute Quantum Processes of Gate Sequences for Classical Non-Markovian Noise
- Color it, Code it, Cancel it: k-local dynamical decoupling from classical additive codes
- Autonomously Designed Pulses for Precise, Site-Selective Control of Atomic Qubits