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The Rochester Conferences on Coherence and Quantum Optics and the Quantum Information and Measurement meeting

Spooky Work at a Distance: An Interaction-Free Quantum Measurement Driven Engine

Cyril Elouard, Mordecai Waegell, Benjamin Huard, Andrew N. Jordan

Published Jan 1, 2019• 1 citation
Publisher

Abstract

We propose an engine fueled by an interaction-free measurement, able to lift a quantum particle in the gravitational potential. The energy is provided by the probe, a single photon, in a seemingly nonlocal way.
DOI
10.1364/cqo.2019.m5a.3

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A single quantum particle can be described by a wavefunction that spreads over arbitrarily large distances; however, it is never detected in two (or more) places. This strange phenomenon is explained in the quantum theory by what Einstein repudiated as ‘spooky action at a distance’: the instantaneous nonlocal collapse of the wavefunction to wherever the particle is detected. Here we demonstrate this single-particle spooky action, with no efficiency loophole, by splitting a single photon between two laboratories and experimentally testing whether the choice of measurement in one laboratory really causes a change in the local quantum state in the other laboratory. To this end, we use homodyne measurements with six different measurement settings and quantitatively verify Einstein’s spooky action by violating an Einstein–Podolsky–Rosen-steering inequality by 0.042±0.006. Our experiment also verifies the entanglement of the split single photon even when one side is untrusted. Quantum mechanics exhibit many unusual features, including Einstein’s so-called ‘spooky action at a distance’, wherein a wavefunction collapses at all points except where it is detected. Using homodyne measurements, Fuwa et al. verify this effect for a single photon split between two labs.
In this work, firstly, we propose how to experimentally demonstrate the single photon steering phenomenon in a simple way. The quantum steering phenomenon was discovered by Erwin Schrodinger, who reason that the laws of quantum mechanics obliges us to admit that by suitable measurements taken on one of two entangled system, then the state of the other system can be determined and steered. On the other hand, the first proposal about the nonlocal property of a single photon focus on showing the Bell nonlocality by using the single-photon path entanglement. Here, we propose a new experimental scheme that, by incorporating and manipulating the internal degree of freedom (IDF) of the photon, easily demonstrate the nonlocal steering phenomenon of single-photon's states. The experimental set-up that we propose differs from those published in the quantum optics' literature to shown the single photon nonlocality, which generally use the path entanglement of photons and homodyne measurements. Secondly, by incorporating its IDF, we show that the single photon steering and the quantum mechanical interaction-free measurement (QM-IFM) are identical phenomena; we will argue that QM-IFM is just a particular instance of the single-photon steering. In short, both the single photon steering and QM-IFM (being identical phenomena) have a common cause: the nonlocality of the wave function. In conclusion, we have demonstrated that it is possible to produce a nonlocal phenomena by manipulating the single photon internal degree of freedom. On the other hand, this unification between steering and QM-IFM could establish a strong support to counterfactual quantum communication and computation.
We propose quantum engines powered entirely by a position-resolving measurement performed on a quantum particle. These engines produce work by moving the quantum particle against a force. Unlike classical information-driven engines (e.g., Maxwell's demon), the energy is not extracted from a thermal hot source but directly from the observation process via a partial wave-function collapse of the particle. We present results for the work done and the efficiency for different values of the engine parameters. Feedback is required for optimal performance. We find that unit efficiency can be approached when one measurement outcome prepares the initial state of the next engine cycle, while the other outcomes leave the original state nearly unchanged.
We present a paradox involving a particle and a mirror. They exchange a nonlocal quantity, modular angular momentum Lz mod 2ћ, but there seems to be no local interaction between them that allows such an exchange. We demonstrate that the particle and mirror do interact locally via a weak local current 〈Lz mod 2ћ〉w. In this sense, we transform the “interaction-free measurement” of Elitzur and Vaidman, in which two local quantities (the positions of a photon and a bomb in the two arms of a Mach-Zehnder interferometer) interact nonlocally, into a thought experiment in which two nonlocal quantities (the weak modular angular momentum of the particle and of the mirror) interact locally.