Testing quantum adiabaticity with quench echo

Abstract

Adiabaticity of quantum evolution is important in many settings. One example is the adiabatic quantum computation. Nevertheless, up to now, there is no effective method to test the adiabaticity of the evolution when the eigenenergies of the driven Hamiltonian are not known. We propose a simple method to check adiabaticity of a quantum process for an arbitrary quantum system. We further propose a operational method for finding a uniformly adiabatic quench scheme based on Kibble-Zurek mechanism for the case when the initial and the final Hamiltonians are given. This method should help in implementing adiabatic quantum computation.

This is a new version. Some typos in the New Journal of Physics version have been corrected

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Cited by in corpus (30)

• Shortcuts to adiabaticity: concepts, methods, and applications
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Emergence of coherence and the dynamics of quantum phase transitions
• Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space
• Shortcuts to adiabaticity: fast-forward approach
• Emergent irreversibility and entanglement spectrum statistics
• Fast quasi-adiabatic dynamics
• Experimental Performance of a Quantum Simulator: Optimizing Adiabatic Evolution and Identifying Many-Body Ground States
• Loschmidt echo and dynamical fidelity in periodically driven quantum systems
• Shortcuts to adiabaticity in the strongly-coupled regime: nonadiabatic control of a unitary Fermi gas
• The Uhlmann connection in fermionic systems undergoing phase transitions
• Fast Route to Thermalization
• Non-adiabatic preparation of spin crystals with ultracold polar molecules
• Long-range quantum gates using dipolar crystals
• Variationally Scheduled Quantum Simulation
• Variational counterdiabatic driving of the Hubbard model for ground-state preparation
• Quantum adiabatic theorem in light of the Marzlin-Sanders inconsistency
• Loschmidt-amplitude wave function spectroscopy and the physics of dynamically driven phase transitions
• Interferometry based on quantum Kibble-Zurek mechanism
• Ultrafast critical ground state preparation via bang-bang protocols
• A study of excess energy and decoherence factor of a qubit coupled to a one dimensional periodically driven spin chain
• Symmetry-Protected Quantum Adiabatic Evolution in Spontaneous Symmetry-Breaking Transitions
• Magnetization oscillations in a periodically driven transverse field Ising chain
• Shortcuts to thermodynamic quasistaticity
• Robust Preparation of Many-body Ground States in Jaynes-Cummings Lattices
• Minimal action control method in quantum critical models
• Kibble-Zurek scaling of the superfluid-supersolid transition in an elongated dipolar gas
• Coherent population transfer via state-independent quasi-adiabatic dynamics
• Assessing the performance of quantum annealing with nonlinear driving