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arXiv:1607.01454 · Nature

Verifying quantum superpositions at metre scales

Dan Stamper-Kurn, G. Edward Marti, Holger Müller

Published Aug 30, 2016• 14 citations
arXivHTMLPDF
DOI
10.1038/nature19108

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Response to "Verifying quantum superpositions at metre scales"

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The preceding BCA (Stamper-Kurn et. al., arXiv:1607.01454) asserts that our observation of interference contrast in a half-metre-scale atom interferometer (Kovachy et. al., Nature 528, 530-3 (2015)) does not prove the existence of macroscopic quantum superpositions and hence does not test quantum mechanics at long length scales. Moreover, the BCA implies that intrinsic atomic interactions or technical imperfections could prevent the application of our work to future differential measurements. On the contrary, we argue the following: i) in standard quantum mechanics, there is no known mechanism in our system that prohibits its use in future differential measurement applications; ii) our experiment tests quantum mechanics in that it constrains any modifications that would reduce contrast in an interferometer with arms that propagate over widely separated trajectories; and iii) using a standard definition of superposition, our observation of interference results from quantum superposition at the half-metre scale. In particular, quantum superposition is a more general concept than first-order coherence.

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One of the most striking quantum phenomena is superposition, where one particle simultaneously inhabits different states. Most methods to verify coherent superposition are indirect, in that they require the distinct states to be recombined. Here, we adapt an game, in which a “test” photon is placed in a superposition of two orthogonal spatial modes, and each mode is sent to separated parties who perform local measurements on their modes without reinterfering the original modes. We show that by using a second identical “measurement” photon the parties are nonetheless able to verify if the test photon was placed in coherent superposition of the two spatial modes. We then turn this game into a resource-efficient verification scheme, obtaining a confidence that the particle is superposed which approaches unity exponentially fast. We demonstrate our scheme using a single photon, obtaining a 99% confidence that the particle is superposed with only 37 copies. Our work shows the utility of games to verify quantum resources, allowing us to efficiently detect quantum superposition without reinterfering the superposed modes.

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The preceding BCA (Stamper-Kurn et. al., arXiv:1607.01454) asserts that our observation of interference contrast in a half-metre-scale atom interferometer (Kovachy et. al., Nature 528, 530-3 (2015)) does not prove the existence of macroscopic quantum superpositions and hence does not test quantum mechanics at long length scales. Moreover, the BCA implies that intrinsic atomic interactions or technical imperfections could prevent the application of our work to future differential measurements. On the contrary, we argue the following: i) in standard quantum mechanics, there is no known mechanism in our system that prohibits its use in future differential measurement applications; ii) our experiment tests quantum mechanics in that it constrains any modifications that would reduce contrast in an interferometer with arms that propagate over widely separated trajectories; and iii) using a standard definition of superposition, our observation of interference results from quantum superposition at the half-metre scale. In particular, quantum superposition is a more general concept than first-order coherence.
One of the most striking quantum phenomena is superposition, where one particle simultaneously inhabits different states. Most methods to verify coherent superposition are indirect, in that they require the distinct states to be recombined. Here, we adapt an game, in which a “test” photon is placed in a superposition of two orthogonal spatial modes, and each mode is sent to separated parties who perform local measurements on their modes without reinterfering the original modes. We show that by using a second identical “measurement” photon the parties are nonetheless able to verify if the test photon was placed in coherent superposition of the two spatial modes. We then turn this game into a resource-efficient verification scheme, obtaining a confidence that the particle is superposed which approaches unity exponentially fast. We demonstrate our scheme using a single photon, obtaining a 99% confidence that the particle is superposed with only 37 copies. Our work shows the utility of games to verify quantum resources, allowing us to efficiently detect quantum superposition without reinterfering the superposed modes.