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arXiv:1508.07221 · Annals of Physics

Measurement-induced deterministic and probabilistic entanglement with strong and weak interactions

Antonio Di Lorenzo

Published Oct 4, 2017• 0 citations
arXivHTMLPDF
DOI
10.1016/j.aop.2017.09.008

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We exploit our recently introduced concept of SWM- (simultaneous weak measurements)-induced quantum state reduction, enabling the use of multiple measurements to produce the desired quantum states. The probabilistic generation of the maximally entangled Bell states is then performed as a consequence of this concept. By combining SWM-induced quantum state reduction with feedback control, we are able to deterministically generate any desired Bell state, without the knowledge of initial state. The control-computation time is compensated for by the delay time in the time delay bang-bang control, through which the real-time implementation of the control scheme is guaranteed. The effectiveness of the proposed scheme is illustrated numerically.
We exploit the notion of SWM- (simultaneous-weak-measurements)-induced quantum state reduction, enabling the use of measurement backaction to produce the desired quantum states. The probabilistic generation of maximally entangled Bell states and the $|\mathrm{GHZ}\ensuremath{\rangle}$ (Greenberger-Horne-Zeilinger) state are then performed as a consequence of this notion. By combining SWM-induced quantum state reduction with feedback control, we are able to deterministically generate any desired Bell state as well as the $|\mathrm{GHZ}\ensuremath{\rangle}$ state, without the knowledge of the initial state. The control-computation time is compensated for by the delay time in the time-delay bang-bang control, through which the real-time implementation of the control scheme is guaranteed. The effectiveness of the proposed scheme is illustrated numerically.
We present a realtime feedback control scheme to deterministically produce the maximally entangled Bell states of two partially separated atoms. The recently introduced concept of SWM- (simultaneous weak measurements)-induced quantum state reduction is generalized to the case of anti-commutative observables. This generalization enables the probabilistic preparation of the Bell states via the SWMs of one linear observable and one nonlocal observable. The deterministic generation of the desired Bell state is then carried out by combining SWM-induced quantum state reduction with feedback control. The realtime implementation of the proposed control scheme is guaranteed by using the time delay control approach in which the computation time of filter-based control is compensated for by the delay time in control input.