Reverse engineering of a Hamiltonian by designing the evolution operators
arXiv:1608.03669 · doi:10.1038/srep30151
Abstract
We propose an effective and flexible scheme for reverse engineering of a Hamiltonian by designing the evolution operators to eliminate the terms of Hamiltonian which are hard to be realized in practice. Different from transitionless quantum driving (TQD) [31], the present scheme is focus on only one or parts of moving states in a D-dimension (D > 3) system. The numerical simulation shows that the present scheme not only contains the results of TQD, but also has more free parameters, which make this scheme more flexible. An example is given by using this scheme to realize the population transfer for a Rydberg atom. The influences of various decoherence processes are discussed by numerical simulation and the result shows that the scheme is fast and robust against the decoherence and operational imperfection. Therefore, this scheme may be used to construct a Hamiltonian which can be realized in experiments
One column, 13 pages, 6 figures, has been accepted by Scientific Reports
References in corpus (41)
- Quantum information with Rydberg atoms
- Fast optimal frictionless atom cooling in harmonic traps
- Shortcuts to adiabaticity
- Shortcut to adiabatic passage in two and three level atoms
- 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
- Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity
- Fast atomic transport without vibrational heating
- Fast population transfer engineering of three-level systems
- Shortcut to adiabaticity for an interacting Bose-Einstein condensate
- Fast optimal transition between two equilibrium states
- Frictionless quantum quenches in ultracold gases: a quantum dynamical microscope
- Adiabatic tracking of quantum many-body dynamics
- Efficient shortcuts to adiabatic passage for the fast populations transfer in multiparticle systems
- Optimal trajectories for efficient atomic transport without final excitation
- Fast and noise-resistant implementation of quantum phase gates and creation of quantum entangled states
- Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics
- Transient energy excitation in shortcuts to adiabaticity for the time dependent harmonic oscillator
- Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm
- Shortcuts to adiabatic passage for population transfer and maximum entanglement creation between two atoms in a cavity
- Frictionless dynamics of Bose-Einstein condensates under fast trap variations
- Transitionless quantum drivings for the harmonic oscillator
- Method for constructing shortcuts to adiabaticity by a substitute of counterdiabatic driving terms
- Shortcuts to adiabaticity in three-level systems using Lie transforms
- Shortcuts to adiabaticity for trapped ultracold gases
- Hamiltonian engineering via invariants and dynamical algebra
- Non-Hermitian shortcut to adiabaticity
- Fast transport of Bose-Einstein condensates
- Geometric phase gates based on stimulated Raman adiabatic passage in tripod systems
- Non-Hermitian shortcut to stimulated Raman adiabatic passage
- Fast transitionless expansions of cold atoms in optical Gaussian beam traps
- Entanglement reciprocation between qubits and continuous variables
- Scalable quantum computing based on stationary spin qubits in coupled quantum dots inside double-sided optical microcavities
- Fast universal quantum gates on microwave photons with all-resonance operations in circuit QED
- Fast frictionless dynamics as a toolbox for low-dimensional Bose-Einstein condensates
- Atom-photon, atom-atom and photon-photon entanglement preparation via fractional adiabatic passage
- Shortcuts to adiabatic passage for fast generation of Greenberger-Horne-Zeilinger states by transitionless quantum driving
- Shortcuts to adiabatic passage for fast generation of three-atom singlet state by transitionless quantum driving
- Quantum information transfer with superconducting flux qubits coupled to a resonator
- Long-range adiabatic quantum state transfer through a linear array of quantum dots
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- General approach for constructing Hamiltonians for nonadiabatic holonomic quantum computation
- Fast and robust control of two interacting spins
- Generalized Shortcuts to Adiabaticity and Enhanced Robustness Against Decoherence
- Fast and robust quantum control for multimode interactions by using shortcuts to adiabaticity
- Composite Short-path Nonadiabatic Holonomic Quantum Gates
- Taming the time evolution in overdamped systems: shortcuts elaborated from fast-forward and time-reversed protocols
- Generalized transitionless quantum driving for open quantum systems
- Quantum gates by inverse engineering of a Hamiltonian
- Invariant-based pulse design for three-level systems without the rotating-wave approximation
- State-independent Nonadiabatic Geometric Quantum Gates
- Sufficient conditions for adiabaticity in open quantum systems
- Robustness of controlled Hamiltonian approaches to unitary quantum gates
- Accelerating adiabatic quantum transfer for three-level -type structure systems via picture transformation
- State-independent geometric quantum gates via nonadiabatic and noncyclic evolution