On the problem of maximizing the transition probability in an \(n\)-level quantum system using nonselective measurements

DOI10.1134/S0081543816060158zbMath1358.81016MaRDI QIDQ511456

N. B. Il'in, Alexander Pechen

Publication date: 15 February 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Quantum control (81Q93)

Related Items (9)

Dark States in Quantum Photosynthesis ⋮ Flows in non-equilibrium quantum systems and quantum photosynthesis ⋮ Critical point in the problem of maximizing the transition probability using measurements in an \(n\)-level quantum system ⋮ On quantum dynamics on \(C^\ast\)-algebras ⋮ Conditions for the absence of local extrema in problems of quantum coherent control ⋮ Quantum transport in degenerate systems ⋮ Finding stationary solutions of the Lindblad equation by analyzing the entropy production functional ⋮ Discrete approximations of dynamical quantum Zeno effect ⋮ On the general definition of the production of entropy in open Markov quantum systems

Cites Work

• Existence of traps in the problem of maximizing quantum observable averages for a qubit at short times
• Coherent control of a qubit is trap-free
• Many-body state engineering using measurements and fixed unitary dynamics
• On critical points of the objective functional for maximization of qubit observables
• Analysis of the quantum Zeno effect for quantum control and computation

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