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Conference on Lasers and Electro-Optics

Continuous variable quantum erasing

Ulrik L. Andersen, O. Glöckl, Stefan Lorenz, Gerd Leuchs, Radim Filip

Published Jan 1, 2004• 1 citation
Publisher

Abstract

We demonstrate experimentally the concept of continuous variable quantum erasing. A squeezed light beam splitter performs a quantum nondemolition (QND) measurement that is reversed by erasing the QND information.
DOI
10.1364/iqec.2004.img6

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We reverse a quantum nondemolition (QND) interaction and restore the signal quantum state by measurement and feedforward. This operation corresponds to quantum erasing for continuous variables (CVs). CV quantum eraser restores the coherence of the signal quantum state by erasing the signal information leaking to another system, where the information leaking is induced by the QND interaction. We employ a homodyne measurement for erasing of the information. Then, by performing a feedforward displacement operation, we restore the initial quantum state together with its coherence. For verification, we use a coherent state and a squeezed vacuum state as inputs, and then restore one of them or the other, whichever we choose. Experimental results are shown as Wigner functions, average fidelity, change in coherence, and trade-off between leakage information and coherence.
We analyse the entanglement nature of quantum complementarity in individual and simultaneous continuous-variable (CV) quantum nondemolition measurements of coordinate and momentum. The complementarity expressed by the uncertainty relations is compared with an information-theoretical analysis of the quantum correlations. To demonstrate the entanglement nature, new CV quantum erasing experiments are suggested, employing only Gaussian states and feasible quantum optical devices, as parametrical processes, beamsplitters and homodyne detections.
A beam splitter is the simplest and clearest example of a coupling device with which quantum limited measurements can be performed. The limitations due to the vacuum fluctuations entering the usually unused port are circumvented by injection of a 3.7 dB squeezed wave into this port. Thereby phase-sensitive measurements that satisfy the quantum nondemolition criteria are realized (signal transfer Ts+Tm=1.29{T}_{s}{+T}_{m}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1.29Ts​+Tm​=1.29, 32% correlation). The dependences of the signal transfer and correlation on beam splitter transmissivity are measured and found to be in quantitative agreement with a calculation that takes into account various inefficiencies. Continuous stable operation for 36 hours is achieved.