Optimizing Counterdiabaticity by Variational Quantum Circuits
arXiv:2208.02087 · doi:10.1098/rsta.2021.0282
Abstract
Utilizing counterdiabatic (CD) driving - aiming at suppression of diabatic transition - in digitized adiabatic evolution have garnered immense interest in quantum protocols and algorithms. However, improving the approximate CD terms with a nested commutator ansatz is a challenging task. In this work, we propose a technique of finding optimal coefficients of the CD terms using a variational quantum circuit. By classical optimizations routines, the parameters of this circuit are optimized to provide the coefficients corresponding to the CD terms. Then their improved performance is exemplified in Greenberger-Horne-Zeilinger state preparation on nearest-neighbor Ising model. Finally, we also show the advantage over the usual quantum approximation optimization algorithm, in terms of fidelity with bounded time.
arXiv comment7 pages, 5 figures, accepted for publication in the upcoming theme issue of Philosophical Transactions A
References in corpus (35)
- Quantum Computing in the NISQ era and beyond
- Quantum Machine Learning
- A variational eigenvalue solver on a quantum processor
- The theory of variational hybrid quantum-classical algorithms
- Noisy intermediate-scale quantum (NISQ) algorithms
- Quantum Circuit Learning
- Shortcuts to adiabaticity: concepts, methods, and applications
- Fast optimal frictionless atom cooling in harmonic traps
- Quantum optimization using variational algorithms on near-term quantum devices
- Shortcuts to adiabaticity
- Shortcuts to adiabaticity by counter-diabatic driving
- Quantum Approximate Optimization of Non-Planar Graph Problems on a Planar Superconducting Processor
- Digitized adiabatic quantum computing with a superconducting circuit
- Quantum-enhanced machine learning
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- QAOA for Max-Cut requires hundreds of qubits for quantum speed-up
- Geometry and non-adiabatic response in quantum and classical systems
- Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
- Minimizing irreversible losses in quantum systems by local counter-diabatic driving
- Fast-forward of adiabatic dynamics in quantum mechanics
- Floquet-engineering counterdiabatic protocols in quantum many-body systems
- Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
- Shortcuts to Adiabaticity in Digitized Adiabatic Quantum Computing
- Digitized-counterdiabatic quantum approximate optimization algorithm
- Counterdiabaticity and the quantum approximate optimization algorithm
- Reinforcement Learning for Many-Body Ground-State Preparation Inspired by Counterdiabatic Driving
- Shortcuts to adiabaticity for quantum annealing
- Counterdiabatic driving in the quantum annealing of the -spin model: a variational approach
- Controlling and exploring quantum systems by algebraic expression of adiabatic gauge potential
- Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing
- Digitized-Counterdiabatic Quantum Optimization
- Optimal quantum annealing: A variational shortcut to adiabaticity approach
- Shortcuts to Quantum Approximate Optimization Algorithm
- Connection between inverse engineering and optimal control in shortcuts to adiabaticity
- Success of digital adiabatic simulation with large Trotter step
Cited by in corpus (9)
- Counterdiabatic Optimised Local Driving
- Optimizing edge state transfer in a Su-Schrieffer-Heeger chain via hybrid analog-digital strategies
- Photonic counterdiabatic quantum optimization algorithm
- Framework for Learning and Control in the Classical and Quantum Domains
- Counterdiabatic driving for long-lived singlet state preparation
- Walsh-Floquet Theory of Periodic Kick Drives
- Variational quantum compiling for three-qubit gates design in quantum dots
- Symmetry-enhanced Counterdiabatic Quantum Algorithm for Qudits
- Geometric Quantum Gates of Non-closed Paths Under Counterdiabatic Driving