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arXiv:0801.2777

The Elitzur-Vaidman Interaction-Free Measurements

Lev Vaidman A

Published Jan 17, 2008• 3 citations
arXivHTMLPDF

Abstract

The interaction-free measurements proposed by Elitzur and Vaidman (EV IFM) is a quantum mechanical method to find an object that interacts with other systems solely via its explosion without exploding it. In this method, an object can be found without ``touching it'', i.e. without any particle being at its vicinity.
DOI
10.48550/arxiv.0801.2777

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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.
In 1993, Elitzur and Vaidman introduced the concept of interaction-free measurements, which allowed finding objects without “touching” them. In the proposed method, since the objects were not touched, even by photons, thus, the interaction-free measurements can be called “seeing in the dark.” Since then, several experiments have been successfully performed and various modifications were suggested. Recently, however, the validity of the term “interaction-free” has been questioned. The criticism of the name is briefly reviewed and the meaning of the interaction-free measurements is clarified.
In 1993 Elitzur and Vaidmannl (EV) demonstrated that quantum mechanics permits the use of light quanta to examine an object without a single photon having actually interacted with the object, requiring only the possibility of such an interaction. The EV scenario has recently been carried out in the laboratory and its predictions verified. EV discussed their scenario in terms of the Copenhagen interpretation of quantum mechanics, in which the interaction-free result is rather mysterious, using a “knowledge” not available classically. They also used the Everett-Wheeler interpretation and suggested that the information indicating the presence of the opaque object comes from an interaction in a separate Everett-Wheeler universe, with the information communicated to our universe through the absence of interference. In the present work, we will examine the EV interaction-free scenario in terms of the transactional interpretation of quantum mechanics2 and will provide a more plausible account of the physical processes that make possible quantum interaction-free measurements.