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arXiv:quant-ph/0503189

Generalizing Elitzur-Vaidman interaction free measurements

Adonai S. Sant’Anna, Otávio Bueno

Published Mar 23, 2005• 0 citations
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Abstract

In the early 1990's A. Elitzur and L. Vaidman proposed an interaction free measurement (IFM) that allows researchers to find infinitely fragile objects without destroying them. But Elitzur-Vaidman IFM has been used only to determine the position of opaque objects. In this paper, we propose an extension of such a technique that allows measurement of classical electric and magnetic fields. Our main goal is to offer a framework for future investigations about the role of the measurement processes, expanding the physical properties that are measurable by means of IFM.

DOI
10.48550/arxiv.quant-ph/0503189

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In the early 1990's A. Elitzur and L. Vaidman proposed an interaction free measurement (IFM) that allows researchers to find infinitely fragile objects without destroying them. But Elitzur-Vaidman IFM has been used only to determine the position of opaque objects. In this paper, we propose an extension of such a technique that allows measurement of classical electric and magnetic fields. Our main goal is to offer a framework for future investigations about the role of the measurement processes, expanding the physical properties that are measurable by means of IFM.
"Interaction-free measurements" (IFM) originate from the latest quantum interferometric technologies. The latest research of quantum optics demonstrates, by using the complementary wavelike and particlelike natures of photons, it is possible to make interaction-free measurements by which the presence of an object can be determined with no photons being absorbed. The paper introduces the concept of "Interaction-free Measurement" (IFM), the original Elitzur-Vaidman scheme, the "High Efficiency Interaction-free Measurement", the application of quantum Zeno effect and the improved scheme proposed by Kwiat et al. The EV scheme is implemented in a Mach-Zehnder interferometer. Theoretically this paper also draws a conclusion in IFM feasibility by analyzing the wave functions of photon at various locations in the interferometer.
Recently, it has been pointed out that it is possible to make a quantum-mechanical interaction-free measurement (IFM), in which the existence of an object in a given region of space may be determined seemingly without interacting with it.1,2 In the embodiment first proposed by Elitzur and Vaidman,3 a standard Michelson interferometer is aligned so that incident single photons (obtained in our experiment by using parametric downconversion; see Fig. 1) must exit by the same port in which they entered, in the absence of any object within the interferometer. The presence of an object (e.g., the mirror leading to detector DB) in one of the arms completely changes the possible outcomes because the constructive interference is interrupted. Now it is possible that the photon will exit from the other exit port, to detector DIfm. By detecting the photon in this case, one can claim with certainty that an object was within the interferometer, even though the photon could not have interacted with it. If the beam splitter has a very low reflectivity, then the fraction of IFMs approaches 1/2.
It is now well established that the presence of an opaque classical object can be unambiguously determined by an {open_quotes}interaction-free{close_quotes} measurement (IFM), where the object and the probe never directly interact. For quantum objects, we examine {open_quotes}interaction-free{close_quotes} measurement (the object wavefunction is unchanged) and {open_quotes}interaction-free{close_quotes} preparation (the object wavefunction is changed without physical interaction) and find that in general, neither is possible. We propose using high efficiency IFM{close_quote}s as a quantum information bus to connect disjoint quantum systems. {copyright} {ital 1999 American Institute of Physics.}
It is now well established that the presence of an opaque classical object can be unambiguously determined by an "interaction-free" measurement (IFM), where the object and the probe never directly interact. For quantum objects, we examine "interaction-free" measurement (the object wavefunction is unchanged) and "interaction-free" preparation (the object wavefunction is changed without physical interaction) and find that in general, neither is possible. We propose using high efficiency IFM's as a quantum information bus to connect disjoint quantum systems.