Dynamically Error-Corrected Gates for Universal Quantum Computation

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 (11)

• Fault-Tolerant Quantum Dynamical Decoupling
• Arbitrarily accurate composite pulses
• Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
• 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 (90)

• Noisy intermediate-scale quantum (NISQ) algorithms
• A compact ion-trap quantum computing demonstrator
• Robust dynamical decoupling for quantum computing and quantum memory
• Enhancing the Coherence of a Spin Qubit by Operating it as a Feedback Loop That Controls its Nuclear Spin Bath
• Modeling and Control of Quantum Systems: An Introduction
• OpenQASM 3: A broader and deeper quantum assembly language
• High fidelity quantum gates via dynamical decoupling
• Experimental noise filtering by quantum control
• Nuclear Spins in Nanostructures
• Preserving qubit coherence by dynamical decoupling
• A General Transfer-Function Approach to Noise Filtering in Open-Loop Quantum Control
• Optimal pulse spacing for dynamical decoupling in the presence of a purely-dephasing spin-bath
• Local observation of antibunching in a trapped Fermi gas
• Dynamical Quantum Error Correction of Unitary Operations with Bounded Controls
• Demonstrating a long-coherence dual-rail erasure qubit using tunable transmons
• Demonstration of algorithmic quantum speedup
• Error-robust quantum logic optimization using a cloud quantum computer interface
• Beyond Quantum Noise Spectroscopy: modelling and mitigating noise with quantum feature engineering
• On fault-tolerance with noisy and slow measurements
• Geometrical Formalism for Dynamically Corrected Gates in Multiqubit Systems
• Experimental protection of quantum gates against decoherence and control errors
• Universally Robust Quantum Control
• Hidden Inverses: Coherent Error Cancellation at the Circuit Level
• Characterization of control noise effects in optimal quantum unitary dynamics
• 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
• Frame-Based Filter-Function Formalism for Quantum Characterization and Control
• Dynamically Corrected Nonadiabatic Holonomic Quantum Gates
• Suppressing ZZ Crosstalk of Quantum Computers through Pulse and Scheduling Co-Optimization
• Dynamically corrected gates suppress spatio-temporal error correlations as measured by randomized benchmarking
• Protecting and Enhancing Spin Squeezing via Continuous Dynamical Decoupling
• Directly accessible entangling gates for capacitively coupled singlet-triplet qubits
• Suppressing Coherent Two-Qubit Errors via Dynamical Decoupling
• Robustness of quantum algorithms against coherent control errors
• Resource-efficient digital characterization and control of classical non-Gaussian noise
• Universal set of scalable dynamically corrected gates for quantum error correction with always-on qubit couplings
• Process tomography of Robust Dynamical Decoupling in Superconducting Qubits
• Suppressing Correlated Noise in Quantum Computers via Context-Aware Compiling
• Quantum Logic Gate Synthesis as a Markov Decision Process
• Dynamical decoupling of a qubit with always-on control fields
• Noise Detection with Spectator Qubits and Quantum Feature Engineering
• Quantum computing through the lens of control: A tutorial introduction
• Algorithms for perturbative analysis and simulation of quantum dynamics
• Quantum Control Noise Spectroscopy with Optimal Suppression of Dephasing
• Comparative study of quantum error correction strategies for the heavy-hexagonal lattice
• Topological Dynamical Decoupling
• Experimental graybox quantum system identification and control
• Dissipative variational quantum algorithms for Gibbs state preparation
• Dynamically corrected gates in silicon singlet-triplet spin qubits
• Protecting the $\sqrt{SWAP}$ operation from general and residual errors by continuous dynamical decoupling
• Designing dynamically corrected gates robust to multiple noise sources using geometric space curves
• 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
• 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
• Platonic dynamical decoupling sequences for interacting spin systems
• Quadrupole transitions and quantum gates protected by continuous dynamic decoupling
• The Concept of Spin Ice Graphs and a Field Theory for their Topological Monopoles and Charges
• Quantum Gates Robust to Secular Amplitude Drifts
• Geometric correspondence of noisy quantum dynamics and universal robust quantum gates
• Limitations to Dynamical Error Suppression and Gate-Error Virtualization from Temporally Correlated Nonclassical Noise
• Efficacy of noisy dynamical decoupling
• Quantum computation in silicon-vacancy centers based on nonadiabatic geometric gates protected by 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
• Protection of quantum evolutions under parity-time symmetric non-Hermitian Hamiltonians by dynamical decoupling
• Quantum spectral analysis by continuous measurement of Landau-Zener transitions
• A diverse set of two-qubit gates for spin qubits in semiconductor quantum dots
• A functional basis for efficient physical-layer classical control in quantum processors
• Robust Nonadiabatic Holonomic Quantum Gates on Decoherence-Protected Qubits
• Unifying non-Markovian characterisation with an efficient and self-consistent framework
• Anomalous behavior of control pulses in presence of noise with singular autocorrelation
• Dynamical-Corrected Nonadiabatic Geometric Quantum Computation
• Higher-order protection of quantum gates: Hamiltonian engineering coordinated with dynamical decoupling
• Lindblad-like quantum tomography for non-Markovian quantum dynamical maps
• Dynamical decoupling of interacting spins through group factorization
• Coherent Generation and Protection of Anticoherent Spin States
• Enhanced Quantum Signal Control and Sensing Under Multicolored Noise via Generalized Filter Function Framework
• Model validation and error attribution for a drifting qubit
• 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
• Filter Function Formalism and Software Package to Compute Quantum Processes of Gate Sequences for Classical Non-Markovian Noise
• Robust Dynamical Decoupling for the Manipulation of a Spin Network via a Single Spin
• Efficient learning and optimizing non-Gaussian correlated noise in digitally controlled qubit systems
• Geometric and holonomic quantum computation
• 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