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Classicality from quantumness revealed by disturbance-free measurement

Sang Min Lee, Min-Su Kim, Heonoh Kim, Han Seb Moon, Sang Wook Kim

Published Oct 11, 2017• 0 citations
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Abstract

We propose an asymptotic disturbance-free measurement using the so-called weak-value scheme,where the weakly measured quantum system is measured for a second time, to confirm that it is disturbance-free; moreover, the probability of obtaining the non-disturbed state must approach one. We show that the weak-measurement outcomes of the Bell state post-selected in this manner exhibit classical behavior in the sense that they satisfy the Clauser-Horne-Shimony-Holt inequality. However, the inequality is violated if all outcomes without post-selection are considered. We experimentally confirm our idea by performing joint weak measurement of polarization-entangled photon-pairs and subsequent fiber-based Bell-state measurement.

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We propose an asymptotic disturbance-free measurement using the so-called weak-value scheme,where the weakly measured quantum system is measured for a second time, to confirm that it is disturbance-free; moreover, the probability of obtaining the non-disturbed state must approach one. We show that the weak-measurement outcomes of the Bell state post-selected in this manner exhibit classical behavior in the sense that they satisfy the Clauser-Horne-Shimony-Holt inequality. However, the inequality is violated if all outcomes without post-selection are considered. We experimentally confirm our idea by performing joint weak measurement of polarization-entangled photon-pairs and subsequent fiber-based Bell-state measurement.
We propose disturbance-free measurement using a "weak-value" scheme, in which a weakly measured quantum system is post-selected (to the initial state) to confirm that there is no disturbance. The probability of obtaining the non-disturbed state is asymptotically close to unity. We theoretically show that outcomes of the disturbance-free measurement for a two-qubit state satisfy the Clauser--Horne--Shimony--Holt inequality. We experimentally demonstrate the test for a typical (maximally entangled) two-qubit state based on a linear optical system. In experiments, polarization-entangled photon-pairs generated by the spontaneous parametric down-conversion process are measured by instruments such as strength-variable polarization-measurement apparatuses and a fiber-based Bell state analyzer.
Abstract We propose disturbance-free measurement (DFM) using a ‘weak-value’ scheme, in which a weakly measured quantum system is post-selected (to the initial state) to confirm that there is no disturbance. The probability of obtaining the non-disturbed state is asymptotically close to unity. We theoretically show that outcomes of the DFM for a two-qubit state satisfy the Clauser–Horne–Shimony–Holt inequality. We experimentally demonstrate the test for a typical (maximally entangled) two-qubit state based on a linear optical system. In experiments, polarization-entangled photon-pairs generated by the spontaneous parametric down-conversion process are measured by instruments such as strength-variable polarization-measurement apparatuses and a fiber-based Bell-state analyzer.
Abstract In questioning the completeness of quantum mechanics, Einstein–Podolsky–Rosen (EPR) claimed that from the outcomes of local experiments performed on an entangled system, it was possible to ascribe simultaneous reality to the values of certain incompatible observables. As EPR acknowledged, the inevitable disturbance of quantum measurements prevents the precise verification of these assertions on a single system. However, the EPR elements of reality can still be tested at the ensemble level through weak measurements—which minimally disturb the measured system—by interpreting the EPR assertions as assertions about weak values that follow from the outcomes of projective measurements. Here, we report an implementation of such a test through joint weak measurements followed by post-selection on polarization-entangled photon pairs. Our results show that there is a correspondence between the obtained joint weak values and the inferred elements of reality in the polarization version of the EPR assertions.