Lindbladians for controlled stochastic Hamiltonians

Abstract

We construct Lindbladians associated with controlled stochastic Hamiltonians in weak coupling. This allows to determine the power spectrum of the noise from measurements of dephasing rates; to optimize the control and to test numerical algorithms that solve controlled stochastic Schrodinger equations. A few examples are worked out in detail.

22 pages, 5 figures

References in corpus (8)

• Effective Hamiltonian Theory and Its Applications in Quantum Information
• Spectroscopy of Surface-Induced Noise Using Shallow Spins in Diamond
• Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
• Imaging mesoscopic nuclear spin noise with a diamond magnetometer
• Direct Measurement of the System-Environment Coupling as a Tool For Understanding Decoherence and Dynamical Decoupling
• Decoherence and fidelity in ion traps with fluctuating trap parameters
• Five Lectures On Dissipative Master Equations
• On the application of Floquet theorem in development of time-dependent Lindbladians

Cited by in corpus (5)

• Spin-lattice relaxation of individual solid-state spins
• Nano-NMR based flow meter
• Quantum state engineering by steering in the presence of errors
• Optimal dynamical decoupling in the presence of colored control noise
• Ability of Markovian Master Equations to Model Quantum Computers and Other Systems Under Broadband Control