Sensitivity of Measurement-Based Purification Processes to Inner Interactions

Abstract

The sensitivity of a repeated measurement-based purification scheme to additional undesired couplings is analyzed, focusing on the very simple and archetypical system consisting of two two-level systems interacting with a repeatedly measured one. Several regimes are considered and in the strong coupling (i.e., when the coupling constant of the undesired interaction is very large) the occurrence of a quantum Zeno effect is proven to dramatically jeopardize the efficiency of the purification process.

12 pages, 6 figures

References in corpus (9)

• Quantum Critical Dynamics of A Qubit Coupled to An Isotropic Lipkin-Meshkov-Glick Bath
• Distillation of Entanglement between Distant Systems by Repeated Measurements on Entanglement Mediator
• Measurement based quantum communication with resource states generated by entanglement purification
• Quantum amplification and purification of noisy coherent states
• Purification of an unpolarized spin ensemble into entangled singlet pairs
• Influence of dissipation on the extraction of quantum states via repeated measurements
• The Role of Temperature in the occurrence of some Zeno Phenomena
• Estimation of the Repeatedly-Projected Reduced Density Matrix under Decoherence
• Purification in Rapid Repeated Interaction Systems