Simulation of interaction Hamiltonians by quantum feedback: a comment on the dynamics of information exchange between coupled systems

Abstract

Since quantum feedback is based on classically accessible measurement results, it can provide fundamental insights into the dynamics of quantum systems by making available classical information on the evolution of system properties and on the conditional forces acting on the system. In this paper, the feedback-induced interaction dynamics between a pair of quantum systems is analyzed. It is pointed out that any interaction Hamiltonian can be simulated by local feedback if the levels of decoherence are sufficiently high. The boundary between genuine entanglement generating quantum interactions and non-entangling classical interactions is identified and the nature of the information exchange between two quantum systems during an interaction is discussed.

14 pages, 4 figures; invited paper for the special issue of J. Opt. B on quantum control

References in corpus (11)

• Inseparability criterion for continuous variable systems
• Violation of local uncertainty relations as a signature of entanglement
• Quantum feedback control and classical control theory
• Quantum Trajectories and Quantum Measurement Theory
• Feedback-stabilization of an arbitrary pure state of a two-level atom
• How robust is a quantum gate in the presence of noise?
• Complementary classical fidelities as an efficient criterion for the evaluation of experimentally realized quantum operations
• Quantum control of atomic systems by time resolved homodyne detection and feedback
• Dynamics of entanglement in quantum computers with imperfections
• Entangling capacities of noisy two-qubit Hamiltonians
• Quantum control by compensation of quantum fluctuations

Cited by in corpus (4)

• Optimization using Bose-Einstein condensation and measurement-feedback circuits
• How to simulate a quantum computer using negative probabilities
• Uncertainty limits of the information exchange between a quantum system and an external meter
• Abrupt and gradual changes of information through the Kane solid state computer