Hybrid Quantum-Classical Approach to Quantum Optimal Control
arXiv:1608.00677 · doi:10.1103/PhysRevLett.118.150503
Abstract
A central challenge in quantum computing is to identify more computational problems for which utilization of quantum resources can offer significant speedup. Here, we propose a hybrid quantum-classical scheme to tackle the quantum optimal control problem. We show that the most computationally demanding part of gradient-based algorithms, namely computing the fitness function and its gradient for a control input, can be accomplished by the process of evolution and measurement on a quantum simulator. By posing queries to and receiving messages from the quantum simulator, classical computing devices update the control parameters until an optimal control solution is found. To demonstrate the quantum-classical scheme in experiment, we use a nine-spin nuclear magnetic resonance system, on which we have succeeded in preparing a seven-correlated quantum state without involving classical computation of the large Hilbert space evolution.
Revised version. Results improved. Title is changed
References in corpus (11)
- Quantum Computing
- Quantum algorithm for solving linear systems of equations
- The theory of variational hybrid quantum-classical algorithms
- Scalable Quantum Simulation of Molecular Energies
- Trading classical and quantum computational resources
- Hybrid quantum-classical approach to correlated materials
- Liquid State NMR as a Test-bed for Developing Quantum Control Methods
- Are there traps in quantum control landscapes?
- Robust and efficient in situ quantum control
- Experimental exploration over a quantum control landscape through nuclear magnetic resonance
- Compilation of selective pulse network on liquid-state nuclear magnetic resonance system
Cited by in corpus (155)
- Variational Quantum Algorithms
- Noisy intermediate-scale quantum (NISQ) algorithms
- Quantum Circuit Learning
- Parameterized quantum circuits as machine learning models
- Robust determination of molecular spectra on a quantum processor
- Quantum convolutional neural network for classical data classification
- Rydberg atom quantum technologies
- General parameter-shift rules for quantum gradients
- Differentiable Learning of Quantum Circuit Born Machine
- Diagnosing Barren Plateaus with Tools from Quantum Optimal Control
- Is quantum advantage the right goal for quantum machine learning?
- Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control
- Sequential minimal optimization for quantum-classical hybrid algorithms
- Quantum generative adversarial learning in a superconducting quantum circuit
- Hardware-efficient variational quantum algorithms for time evolution
- Estimating the gradient and higher-order derivatives on quantum hardware
- Avoiding local minima in variational quantum eigensolvers with the natural gradient optimizer
- Variational Quantum Eigensolver with Fewer Qubits
- Towards simulating 2D effects in lattice gauge theories on a quantum computer
- Methodology for replacing indirect measurements with direct measurements
- TensorCircuit: a Quantum Software Framework for the NISQ Era
- Yao.jl: Extensible, Efficient Framework for Quantum Algorithm Design
- When does reinforcement learning stand out in quantum control? A comparative study on state preparation
- Noisy intermediate-scale quantum computers
- Low-depth gradient measurements can improve convergence in variational hybrid quantum-classical algorithms
- A variational toolbox for quantum multi-parameter estimation
- Quantum simulation of photosynthetic energy transfer
- Quantum federated learning through blind quantum computing
- Parameter Concentration in Quantum Approximate Optimization
- Experimental quantum adversarial learning with programmable superconducting qubits
- From pulses to circuits and back again: A quantum optimal control perspective on variational quantum algorithms
- Quantum Power Method by a Superposition of Time-Evolved States
- Measuring Analytic Gradients of General Quantum Evolution with the Stochastic Parameter Shift Rule
- Near-Term Quantum Computing Techniques: Variational Quantum Algorithms, Error Mitigation, Circuit Compilation, Benchmarking and Classical Simulation
- Entanglement-enhanced quantum metrology: from standard quantum limit to Heisenberg limit
- Recent advances for quantum classifiers
- Entanglement-Enhanced Quantum Metrology in Colored Noise by Quantum Zeno Effect
- Biology and medicine in the landscape of quantum advantages
- Adaptive Variational Quantum Imaginary Time Evolution Approach for Ground State Preparation
- Evaluating the noise resilience of variational quantum algorithms
- Symmetry-adapted variational quantum eigensolver
- Optimal Scheme for Quantum Metrology
- Digitized-Counterdiabatic Quantum Algorithm for Protein Folding
- Variational Quantum Eigensolver for Frustrated Quantum Systems
- Synergy Between Quantum Circuits and Tensor Networks: Short-cutting the Race to Practical Quantum Advantage
- Classical-to-quantum convolutional neural network transfer learning
- Variational Quantum-Neural Hybrid Eigensolver
- A Data-Driven Gradient Algorithm for High-Precision Quantum Control
- Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
- Analytic gradients in variational quantum algorithms: Algebraic extensions of the parameter-shift rule to general unitary transformations
- Generalized quantum circuit differentiation rules
- Quantum Neural Network Classifiers: A Tutorial
- Variational quantum amplitude estimation
- Global Correlation and Local Information Flows in Controllable Non-Markovian Open Quantum Dynamics
- Progress toward favorable landscapes in quantum combinatorial optimization
- Minimum Hardware Requirements for Hybrid Quantum-Classical DMFT
- Digital quantum simulation of molecular dynamics and control
- Gradient-based closed-loop quantum optimal control in a solid-state two-qubit system
- Exact and efficient quantum simulation of open quantum dynamics for various of Hamiltonians and spectral densities
- Non-IID Quantum Federated Learning with One-shot Communication Complexity
- Probe optimization for quantum metrology via closed-loop learning control
- Optimal quantum control with poor statistics
- Real-Time Krylov Theory for Quantum Computing Algorithms
- Quantum optimal control with quantum computers: an hybrid algorithm featuring machine learning optimization
- Optimal control of families of quantum gates
- Variational quantum algorithm for experimental photonic multiparameter estimation
- Optimizing a Polynomial Function on a Quantum Simulator
- Hybrid quantum-classical approach to enhanced quantum metrology
- Assessing three closed-loop learning algorithms by searching for high-quality quantum control pulses
- Training variational quantum algorithms with random gate activation
- Efficient calculation of gradients in classical simulations of variational quantum algorithms
- Optimal quantum optical control of spin in diamond
- Preparation of ordered states in ultra-cold gases using Bayesian optimization
- Collective optimization for variational quantum eigensolvers
- Complete Quantum-State Tomography with a Local Random Field
- Improved Quantum Computing with the Higher-order Trotter Decomposition
- Adaptive Circuit Learning for Quantum Metrology
- Here comes the SU(N): multivariate quantum gates and gradients
- Solving optimization problems with local light shift encoding on Rydberg quantum annealers
- Spatial, spin, and charge symmetry projections for a Fermi-Hubbard model on a quantum computer
- Fermionic Quantum Approximate Optimization Algorithm
- Classification of Hybrid Quantum-Classical Computing
- Quantum-classical eigensolver using multiscale entanglement renormalization
- Entropy production rate and correlations of cavity magnomechanical system
- Compilation of algorithm-specific graph states for quantum circuits
- Quantum Neural Estimation of Entropies
- Combining the synergistic control capabilities of modelling and experiments: illustration of finding a minimum time quantum objective
- Gutzwiller wave function on a quantum computer using a discrete Hubbard-Stratonovich transformation
- Quantum Gradient Algorithm for General Polynomials
- Quantum metrology with one auxiliary particle in a correlated bath and its quantum simulation
- Fully-Optimized Quantum Metrology: Framework, Tools, and Applications
- Optimization of Controlled-Z Gate with Data-Driven Gradient Ascent Pulse Engineering in a Superconducting Qubit System
- Guaranteed efficient energy estimation of quantum many-body Hamiltonians using ShadowGrouping
- Variational Quantum Algorithms for Semidefinite Programming
- Beyond unital noise in variational quantum algorithms: noise-induced barren plateaus and limit sets
- In situ upgrade of quantum simulators to universal computers
- Subspace methods for the simulation of molecular response properties on a quantum computer
- Drawing together control landscape and tomography principles
- Controlling NMR spin systems for quantum computation
- Mitigated barren plateaus in the time-nonlocal optimization of analog quantum-algorithm protocols
- Randomized adaptive quantum state preparation
- Quantum-machine-learning channel discrimination
- Quantum computing Floquet energy spectra
- Numerical hardware-efficient variational quantum simulation of a soliton solution
- Hybrid quantum-classical algorithms for solving quantum chemistry in Hamiltonian-wavefunction space
- A Hybrid Quantum-Classical Paradigm to Mitigate Embedding Costs in Quantum Annealing
- Compensating for non-linear distortions in controlled quantum systems
- Mixed Integer Linear Programming Solver Using Benders Decomposition Assisted by Neutral Atom Quantum Processor
- Experimental graybox quantum system identification and control
- Single-component gradient rules for variational quantum algorithms
- QCOR: A Language Extension Specification for the Heterogeneous Quantum-Classical Model of Computation
- Hybrid discrete-continuous compilation of trapped-ion quantum circuits with deep reinforcement learning
- QDNN: DNN with Quantum Neural Network Layers
- Machine Learning for Estimation and Control of Quantum Systems
- Self-Consistent Determination of Single-Impurity Anderson Model Using Hybrid Quantum-Classical Approach on a Spin Quantum Simulator
- Bayesian Learning of Parameterised Quantum Circuits
- NISQ-compatible approximate quantum algorithm for unconstrained and constrained discrete optimization
- Qsun: an open-source platform towards practical quantum machine learning applications
- Preserving Entanglement in a Solid-Spin System Using Quantum Autoencoders
- Quantum continual learning on a programmable superconducting processor
- Efficient variational quantum circuit structure for correlated topological phases
- Local, Expressive, Quantum-Number-Preserving VQE Ansatze for Fermionic Systems
- Graph Cut Segmentation Methods Revisited with a Quantum Algorithm
- Practical quantum simulation of small-scale non-Hermitian dynamics
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Quantum Computation for Pricing the Collateralized Debt Obligations
- Analytical Ground- and Excited-State Gradients for Molecular Electronic Structure Theory from Hybrid Quantum/Classical Methods
- Solving Quantum Statistical Mechanics with Variational Autoregressive Networks and Quantum Circuits
- Quantum computing fidelity susceptibility using automatic differentiation
- Computing n-time correlation functions without ancilla qubits
- Efficient quantum circuit simulation using a multi-qubit Bloch vector representation of density matrices
- QSlack: A slack-variable approach for variational quantum semi-definite programming
- Iteration Complexity of Variational Quantum Algorithms
- Algorithmic Primitives for Quantum-Assisted Quantum Control
- Fast quantum state transfer and entanglement preparation in strongly coupled bosonic systems
- Cascaded variational quantum eigensolver algorithm
- Backpropagation scaling in parameterised quantum circuits
- Noise-aware variational eigensolvers: a dissipative route for lattice gauge theories
- Time Optimal Quantum Control of Spinor States
- Optimal Bounds on State Transfer Under Quantum Channels with Application to Spin System Engineering
- Efficient classical calculation of the Quantum Natural Gradient
- Dual-VQE: A quantum algorithm to lower bound the ground-state energy
- Training quantum measurement devices to discriminate unknown non-orthogonal quantum states
- Quantum-classical reinforcement learning for decoding noisy classical parity information
- Quantum circuit-like learning: A fast and scalable classical machine-learning algorithm with similar performance to quantum circuit learning
- Unitary Transformations using Robust Optimal Control on a Cold Atom Qudit
- "Proper" Shift Rules for Derivatives of Perturbed-Parametric Quantum Evolutions
- Cooling classical many-spin systems using feedback control
- Circuit-Noise-Resilient Virtual Distillation
- The Dual Role of Low-Weight Pauli Propagation: A Flawed Simulator but a Powerful Initializer for Variational Quantum Algorithms
- Subsystem-based Approach to Scalable Quantum Optimal Control
- Extended parameter shift rules with minimal derivative variance for parameterized quantum circuits
- Superior resilience to poisoning and amenability to unlearning in quantum machine learning
- Quantum feature-map learning with reduced resource overhead
- Pulse engineering via projection of response functions