Shortcuts to adiabaticity: theoretical framework, relations between different methods, and versatile approximations
arXiv:2311.09720 · doi:10.1088/1361-6455/ad38f1
Abstract
Shortcuts to adiabaticity guide given systems to final destinations of adiabatic control via fast tracks. Various methods were proposed as varieties of shortcuts to adiabaticity. Basic theory of shortcuts to adiabaticity was established in the 2010s, but it has still been developing and many fundamental findings have been reported. In this Topical Review, we give a pedagogical introduction to theory of shortcuts to adiabaticity and revisit relations between different methods. Some versatile approximations in counterdiabatic driving, which is one of the methods of shortcuts to adiabaticity, will be explained in detail. We also summarize recent progress in studies of shortcuts to adiabaticity.
arXiv commentA topical review focusing on some specific topics of shortcuts to adiabaticity. Comments and suggestions are welcome:)
References in corpus (100)
- Quantum Computing in the NISQ era and beyond
- Quantum Annealing in the Transverse Ising Model
- Adiabatic Quantum Computing
- Shortcuts to adiabaticity: concepts, methods, and applications
- From the Quantum Approximate Optimization Algorithm to a Quantum Alternating Operator Ansatz
- Quantum Approximate Optimization Algorithm: Performance, Mechanism, and Implementation on Near-Term Devices
- Fast optimal frictionless atom cooling in harmonic traps
- The European Quantum Technologies Roadmap
- Shortcuts to adiabaticity
- Shortcut to adiabatic passage in two and three level atoms
- Quantum Search by Local Adiabatic Evolution
- Shortcuts to adiabaticity by counter-diabatic driving
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- Optimally robust shortcuts to population inversion in two-level quantum systems
- 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
- Classical and quantum shortcuts to adiabaticity for scale-invariant driving
- Minimizing irreversible losses in quantum systems by local counter-diabatic driving
- Fast population transfer engineering of three-level systems
- Fast atomic transport without vibrational heating
- Trade-off between speed and cost in shortcuts to adiabaticity
- Fast-forward of adiabatic dynamics in quantum mechanics
- Floquet-engineering counterdiabatic protocols in quantum many-body systems
- Experimental implementation of an adiabatic quantum optimization algorithm
- Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
- Generating shortcuts to adiabaticity in quantum and classical dynamics
- Adiabatic tracking of quantum many-body dynamics
- Adiabatic eigenstate deformations as a sensitive probe for quantum chaos
- Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
- Shortcuts to adiabaticity: fast-forward approach
- Superadiabatic Controlled Evolutions and Universal Quantum Computation
- Shortcuts to Adiabaticity in Digitized Adiabatic Quantum Computing
- Transitionless quantum drivings for the harmonic oscillator
- Transitionless quantum driving for spin systems
- Digitized-counterdiabatic quantum approximate optimization algorithm
- Counterdiabaticity and the quantum approximate optimization algorithm
- Hamiltonian engineering via invariants and dynamical algebra
- Shortcut to Equilibration of an Open Quantum System
- Cost of counterdiabatic driving and work output
- Focus on Shortcuts to Adiabaticity
- Reinforcement Learning for Many-Body Ground-State Preparation Inspired by Counterdiabatic Driving
- Superadiabatic dynamics in open quantum systems
- Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution
- Counterdiabatic Optimised Local Driving
- Shortcuts to adiabaticity using flow fields
- Digitized-Counterdiabatic Quantum Algorithm for Protein Folding
- Energy consumption for Shortcuts To Adiabaticity
- Many-body quantum heat engines with shortcuts to adiabaticity
- Counterdiabatic driving in the quantum annealing of the -spin model: a variational approach
- Portfolio Optimization with Digitized-Counterdiabatic Quantum Algorithms
- Controlling and exploring quantum systems by algebraic expression of adiabatic gauge potential
- Energetic cost of quantum control protocols
- Fast forward to the classical adiabatic invariant
- Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing
- Shortcuts to Adiabaticity in Krylov Space
- Dynamical invariants for quantum control of four-level systems
- Digitized-Counterdiabatic Quantum Optimization
- Shortcuts to adiabaticity: Suppression of pair production in driven Dirac dynamics
- Controlling quantum critical dynamics of isolated systems
- From Classical Nonlinear Integrable Systems to Quantum Shortcuts to Adiabaticity
- Performance Evaluation of Adiabatic Quantum Computation via Quantum Speed Limits and Possible Applications to Many-Body Systems
- Quantum computation in continuous time using dynamic invariants
- Acceleration of adiabatic transport of interacting particles and rapid manipulations of dilute Bose gas in ground state
- Two-parameter counter-diabatic driving in quantum annealing
- Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
- Fast-forward scaling in a finite-dimensional Hilbert space
- Fast forward of adiabatic spin dynamics of entangled states
- Superadiabatic thermalization of a quantum oscillator by engineered dephasing
- Quantum Control via Enhanced Shortcuts to Adiabaticity
- Rapid coherent control of population transfer in lattice systems
- Optimal quantum annealing: A variational shortcut to adiabaticity approach
- Efficient Product Formulas for Commutators and Applications to Quantum Simulation
- How fast and robust is the quantum adiabatic passage?
- Hamiltonian engineering for adiabatic quantum computation: Lessons from shortcuts to adiabaticity
- Shortcuts to Adiabatic Classical Spin Dynamics Mimicking Quantum Annealing
- Variational counterdiabatic driving of the Hubbard model for ground-state preparation
- Energy consumption for ion transport in a segmented Paul trap
- Adiabatic landscape and optimal paths in ergodic systems
- Generalized transitionless quantum driving for open quantum systems
- General bound on the performance of counter-diabatic driving acting on dissipative spin systems
- Multi-spin counter-diabatic driving in many-body quantum Otto refrigerators
- Shortcuts to adiabaticity applied to nonequilibrium entropy production: An information geometry viewpoint
- State-dependent error bound for digital quantum simulation of driven systems
- A Quantum Otto Engine with Shortcuts to Thermalization and Adiabaticity
- Fast-forward approach to adiabatic quantum dynamics of regular spin clusters: nature of geometry-dependent driving interactions
- Counterdiabatic Reverse Annealing
- Robustness of Enhanced Shortcuts to Adiabaticity in Lattice Transport
- Counterdiabatic optimized driving in quantum phase sensitive models
- Convergence of Digitized-Counterdiabatic QAOA: circuit depth versus free parameters
- Counterdiabatic route for preparation of state with long-range topological order
- Fast-forward scaling theory
- Counterdiabatic Formalism of Shortcuts to Adiabaticity
- Spin squeezing in internal bosonic Josephson junctions via enhanced shortcuts to adiabaticity
- Counter-diabatic driving in the classical -Fermi-Pasta-Ulam-Tsingou chain
- Scaling of errors in digitized counterdiabatic driving
- Improved anharmonic trap expansion through enhanced shortcuts to adiabaticity
- Performance evaluation of invariant-based inverse engineering by quantum speed limit
- Bounds for nonadiabatic transitions
- Dynamical invariant formalism of shortcuts to adiabaticity
- Time rescaling of nonadiabatic transitions
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- Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
- Driving a Quantum Phase Transition at Arbitrary Rate: Exact solution of the Transverse-Field Ising model
- Counterdiabatic Route to Entanglement Steering and Dynamical Freezing in the Floquet Lipkin-Meshkov-Glick Model
- Topological Operations Around Exceptional Points via Shortcuts to Adiabaticity
- Fast and robust production of quantum superposition states by the fractional shortcut to adiabaticity
- Improving the efficiency of quantum annealing with controlled diagonal catalysts
- Fighting Exponentially Small Gaps by Counterdiabatic Driving
- Suppressing excitations in the nonlinear Landau-Zener model
- Energy-saving fast-forward scaling
- No-go theorem for environment-assisted invariance in non-unitary dynamics
- Dipolar optimal control of entangled current states
- Fast-forward scaling theory for quantum dynamics on curved space-time
- Optimal control of population transfer in multi-level systems by dynamical quantum geometric tensor
- Symmetric gate for ultracold neutral atoms based on counterdiabatic driving at Rydberg excitation