Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates

  title={Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates},
  author={Boris O Volkov and O. V. Morzhin and Alexander N. Pechen},
  journal={Journal of Physics A: Mathematical and Theoretical},
Mathematical analysis of quantum control landscapes, which aims to prove either absence or existence of traps for quantum control objective functionals, is an important topic in quantum control. In this work, we provide a rigorous analysis of quantum control landscapes for ultrafast generation of single-qubit quantum gates and show, combining analytical methods based on a sophisticated analysis of spectrum of the Hessian, and numerical optimization methods such as gradient ascent pulse… 
On optimization of coherent and incoherent controls for two-level quantum systems
This article considers some control problems for closed and open two-level quantum systems. The closed system’s dynamics is governed by the Schrödinger equation with coherent control. The open
On the detailed structure of quantum control landscape for fast single qubit phase-shift gate generation
This work compute the numbers of negative and positive eigenvalues of Hessian at this saddle point and moreover, give estimates on magnitude of these eigen values.
Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
Quantum optimal control, a toolbox for devising and implementing the shapes of external fields that accomplish given tasks in the operation of a quantum device in the best way possible, has evolved
Transfer of 0-order coherence matrix along spin-1/2 chain
In this work, we study transfer of coherence matrices along spin-1/2 chains of various length. Unlike higher order coherence matrices, 0-order coherence matrix can be perfectly transferred if its
International Online Conference “One-Parameter Semigroups of Operators 2021” Quantum control landscapes
Here H0 and V are the free and interaction Hamiltonians (Hermitian N×N -matrices such that [H0, V ] 6= 0), and f ∈ L2([0, T ],R) is a coherent control. Let O be a quantum observable (system’s
Reachable sets for two-level open quantum systems driven by coherent and incoherent controls
In this work, we study controllability in the set of all density matrices for a two-level open quantum system driven by coherent and incoherent controls. In Pechen (2011 Phys. Rev. A 84 042106) an


Introduction to Quantum Control and Dynamics
QUANTUM MECHANICS States and Operators Observables and Measurement Dynamics of Quantum Systems MODELING OF QUANTUM CONTROL SYSTEMS: EXAMPLES Quantum Theory of Interaction of Particles and Fields
Optical Control of Molecular Dynamics (New York: Wiley
  • 2000
Optical Control of Molecular Dynamics (New
  • 2000
Quantum Control of Molecular Processes. Second, Revised and Enlarged Edition (Weinheim: WILEY-VCH
  • 2012
Quantum Control of Molecular Processes 2nd edn (New York: Wiley
  • 2012
Machine Learning for Finding Suboptimal Final Times and Coherent and Incoherent Controls for an Open Two-Level Quantum System
An open two-level quantum system evolving under coherent and incoherent piecewise constant controls constrained in their magnitude and variations is considered, which combines the approach of $$k$$ nearest neighbors and training a multi-layer perceptron neural network to predict suboptimal final times and controls.
Maximization of the Uhlmann–Jozsa Fidelity for an Open Two-Level Quantum System with Coherent and Incoherent Controls
In the paper, the problem of maximization of the Uhlmann–Jozsa fidelity, which shows the degree of coincidence between the given target density matrix and the final density matrix of a two-level open
Demonstration of Quantum Brachistochrones between Distant States of an Atom
Transforming an initial quantum state into a target state through the fastest possible route---a quantum brachistochrone---is a fundamental challenge for many technologies based on quantum mechanics.
Time-optimal control of a dissipative qubit
A formalism based on Pontryagin's maximum principle is applied to determine the time-optimal protocol that drives a general initial state to a target state by a Hamiltonian with limited control,