Hamiltonian design to prepare arbitrary states of four-level systems
arXiv:1710.10207 · doi:10.1103/PhysRevA.97.013830
Abstract
We propose a method to manipulate, possibly faster than adiabatically, four-level systems with time-dependent couplings and constant energy shifts (detunings in quantum-optical realizations). We inversely engineer the Hamiltonian, in ladder, tripod, or diamond configurations, to prepare arbitrary states using the geometry of four-dimensional rotations to set the state populations, specifically we use Cayley's factorization of a general rotation into right- and left-isoclinic rotations.
arXiv comment12 pages, 6 figures
References in corpus (25)
- Shortcut to adiabatic passage in two and three level atoms
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity
- Fast atomic transport without vibrational heating
- Fast population transfer engineering of three-level systems
- Fast-forward of adiabatic dynamics in quantum mechanics
- Polarization phase gate with a tripod atomic system
- Shortcuts to adiabaticity: fast-forward approach
- Transitionless quantum drivings for the harmonic oscillator
- Shortcuts to adiabaticity in three-level systems using Lie transforms
- Shortcut to adiabatic population transfer in quantum three-level systems: effective two-level problems and feasible counter-diabatic driving
- Hamiltonian engineering via invariants and dynamical algebra
- Phase-dependent interaction in a 4-level atomic configuration
- Fast quasi-adiabatic dynamics
- Coherent pulsed excitation of degenerate multistate systems: Exact analytic solutions
- Engineering of arbitrary U(N) transformations by quantum Householder reflections
- Fast and robust spin manipulation in a quantum dot by electric fields
- Relativistic quantum effects of Dirac particles simulated by ultracold atoms
- Dynamical invariants for quantum control of four-level systems
- Quantum computation in continuous time using dynamic invariants
- Shaken not stirred: Creating exotic angular momentum states by shaking an optical lattice
- Navigation between quantum states by quantum mirrors
- Nonadiabatic quantum state engineering driven by fast quench dynamics
- Quantum Coherence Effects in Four-level Diamond Atomic System
- Quantum logical gates with four-level SQUIDs coupled to a superconducting resonator
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- Qubit gates with simultaneous transport in double quantum dots
- Efficient Generation of the Triplet Bell State Between Coupled Spins Using Transitionless Quantum Driving and Optimal Control
- Robust single-qubit gates by composite pulses in three-level systems
- Generation of three-dimensional entanglement between two spatially separated atoms via shortcuts to adiabatic passage
- Fast and robust creation of an arbitrary single qubit state by nonadiabatic shortcut pulses in a three-level system
- Optimizing NMR quantum information processing via generalized transitionless quantum driving
- Fast quantum state transfer and entanglement for cavity-coupled many qubits via dark pathways
- Selective population of a large-angular-momentum state in an optical lattice
- Entangling distant systems via universal nonadiabatic passage
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Robust composite two-qubit gates for silicon-based spin qubits
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