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2Physics Quote:
"Can photons in vacuum interact? The answer is not, since the vacuum is a linear medium where electromagnetic excitations and waves simply sum up, crossing themselves with no interaction. There exist a plenty of nonlinear media where the propagation features depend on the concentration of the waves or particles themselves. For example travelling photons in a nonlinear optical medium modify their structures during the propagation, attracting or repelling each other depending on the focusing or defocusing properties of the medium, and giving rise to self-sustained preserving profiles such as space and time solitons or rapidly rising fronts such as shock waves." -- Lorenzo Dominici, Mikhail Petrov, Michal Matuszewski, Dario Ballarini, Milena De Giorgi, David Colas, Emiliano Cancellieri, Blanca Silva Fernández, Alberto Bramati, Giuseppe Gigli, Alexei Kavokin, Fabrice Laussy, Daniele Sanvitto. (Read Full Article: "The Real-Space Collapse of a Two Dimensional Polariton Gas" )

Sunday, June 09, 2013

Quantum experiment preludes the endgame for local realism – photonic Bell violation closes the fair-sampling loophole

[Left to Right] Johannes Kofler, Sven Ramelow, Marissa Giustina, Rupert Ursin (© Brasch), Anton Zeilinger (© Godany)

Johannes Kofler1, Sven Ramelow2,3, Marissa Giustina2,3, Rupert Ursin2,3, Anton Zeilinger2,3

1Max Planck Institute of Quantum Optics (MPQ), Garching/Munich, Germany.
2Institute for Quantum Optics and Quantum Information – Vienna (IQOQI), Austrian Academy of Sciences, Vienna, Austria.
3Quantum Optics, Quantum Nanophysics, Quantum Information, University of Vienna, Faculty of Physics, Vienna, Austria.

Using photons, a recent experiment in Vienna closed a loophole in the arguments against local realism and now makes photons the first quantum system for which all major loopholes have been closed in separate experiments. This is good news for a final experiment closing all loopholes simultaneously.

“Local realism” is a world view in which the properties of physical objects exist independent of whether or not they are observed (realism), and in which no physical influence can propagate faster than the speed of light (locality). In 1964, in one of the most important works in the history of the foundations of quantum theory [1], the Irish physicist John Bell proved theoretically that local realism is in contradiction with the predictions of quantum mechanics. With his now famous “Bell inequality”, he showed that it is possible to determine experimentally which of the two radically different world views actually governs reality. The terms in the inequality are the correlations of measurement results. Bell’s inequality is satisfied by the predictions of any local realistic theory, whereas quantum mechanics predicts measurement outcomes that can violate it.

Past 2Physics articles by Johannes Kofler, Sven Ramelow, Rupert Ursin, Anton Zeilinger:

November 04, 2012: "Quantum Teleportation Over 143 Kilometers" by Xiao-song Ma, Johannes Kofler, Rupert Ursin and Anton Zeilinger,
November 13, 2011: "A New Scheme for Photonic Quantum Computing" by Nathan K. Langford, Sven Ramelow and Robert Prevedel,
May 30, 2009: "Transmission of Entangled Photons over a High-Loss Free-Space Channel" by Alessandro Fedrizzi, Rupert Ursin and Anton Zeilinger,
June 08, 2007: "Entanglement and One-Way Quantum Computing "
by Robert Prevedel and Anton Zeilinger

In a Bell test, pairs of systems, e.g. photons, are produced. From every pair, one photon is sent to a party usually called Alice, and the other photon is sent to another party known as Bob. They each choose which physical property they want to measure, for instance, a direction of their photon’s polarization. For pairs that are quantum entangled, the correlations of Alice’s and Bob’s measurement outcomes can exceed the correlations predicted by any local realistic theory and thus violate Bell’s inequality. Quantum entanglement – a term coined by the Austrian physicist Erwin Schrödinger – means that no photon taken by itself has a definite polarization, but that if one party measures the polarization of its photon, the other photon will always show a perfectly correlated polarization. Albert Einstein called this strange effect “spooky action at a distance”.

In addition to its preeminent importance in foundational physics, quantum entanglement and Bell’s inequality also play a quintessential role in the modern field of quantum information. There, individual quantum particles are the carriers of information, and the entanglement between them promises absolutely secure communication as well as enhanced computation power compared to any conceivable classical technology.

In the last decades, Bell’s inequality has been violated in numerous experiments and for several different physical systems such as photons and atoms. However, in experimental tests, “loopholes” arise that allow the observed correlations – although they violate Bell’s inequality – to still be explained by local realistic theories. The advocates of local realism can defend their worldview falling back on essentially three such loopholes. In the “locality loophole” the measurement result of one party is assumed to be influenced by a fast and hidden physical signal from the other party to produce the observed correlations. Similarly, in the “freedom-of-choice” loophole the measurement choices of Alice and Bob are considered to be influenced by some hidden local realistic properties of the particle pairs. These two loopholes have already been closed in photonic experiments [2-4] by separating Alice and Bob by large distances, and enforcing precise timing of the photon pair creation, Alice’s and Bob’s choice events, and their measurements. The local realist would then need superluminal signals to explain the measured correlations, but influences which are faster than light are not allowed in the local realistic world view.

The third way out for the local realist is called the “fair-sampling loophole” [5]. It works in the following manner: if only a small fraction of the produced photons is measured, a clever advocate of local realism can conceive a model in which the ensemble of all produced photons as a whole follows the rules of local realism, although the “unfair” sample of the actually measured photons was able to violate Bell’s inequality. (Think of randomly flipping many fair coins but looking at only some of them, where the coins showing heads tend to hide and thus have a smaller probability of being observed than those showing tails. When looking at only this incomplete and "unfair" subset of the coins, it wrongly appears as if the coins had a special distribution with more showing tails than heads.) This type of loophole has even been explicitly exploited in an experiment faking Bell violations without any entanglement [6]. The way to close the fair-sampling loophole is to achieve a high detection efficiency of the produced particle pairs by avoiding losses and using very good measurement devices. Until now, this has been accomplished for particles with mass such as ions and atoms [7,8], but never for photons. However, for such particles, the other two loopholes are very difficult to close and indeed have not yet been closed.

A recent experiment has, for the first time, closed the fair-sampling loophole for photons [9]. It employed a significantly optimized source of entangled pairs achieving excellent fiber coupling efficiencies and state-of-the-art high-efficiency superconducting detectors to reach the necessary total detection efficiency. The researchers were able to measure about 75% of all photons in each arm. This rules out all local realistic explanations that rely on unfair sampling using a form of Bell’s inequality developed about 20 years ago by the American physicist Philippe Eberhard, which requires an efficiency of only two thirds [10]. The recent experiment makes the photon the first physical system for which all three loopholes have been closed, albeit in different experiments.

Optical setup used in the quantum experiment. (Image: IQOQI Vienna, Jacqueline Godany 2012)

Although most scientists do not expect any surprises and believe that quantum physics will prevail over local realism, it is still conceivable that different loopholes are exploited in different experiments. It is this last piece in the history of Bell tests which is still missing – a final and conclusive experiment violating Bell’s inequality while closing all loopholes simultaneously [11]. It is not yet clear whether such an experiment will be achieved first for photons or atoms or some other quantum system, but if it can be successfully performed, one needs to accept at least one of the following radical views: there is a hidden faster-than-light communication in nature, or we indeed live in a world in which physical properties do not always exist independent of observation. Almost 50 years after the formulation of local realism, its endgame clearly has begun.

[1] J. S. Bell, "On the Einstein Podolsky Rosen Paradox". Physics (NY) 1, 195 (1964). Full Text.
[2] Alain Aspect, Jean Dalibard, Gérard Roger, "Experimental test of Bell's inequalities using time varying analyzers". Physical Review Letters, 49, 1804 (1982). Abstract.
[3] Gregor Weihs, Thomas Jennewein, Christoph Simon, Harald Weinfurter, and Anton Zeilinger, "Violation of Bell's Inequality under Strict Einstein Locality Conditions". Physical Review Letters, 81, 5039 (1998). Abstract.
[4] Thomas Scheidl, Rupert Ursin, Johannes Kofler, Sven Ramelow, Xiao-Song Ma, Thomas Herbst, Lothar Ratschbacher, Alessandro Fedrizzi, Nathan K. Langford, Thomas Jennewein, and Anton Zeilinger, "Violation of local realism with freedom of choice". Proceedings of the National Academy of Sciences 107, 19708–19713 (2010). Abstract.
[5] Philip M. Pearle, "Hidden-Variable Example Based upon Data Rejection". Physical Review D 2, 1418 (1970). Abstract.
[6] Ilja Gerhardt, Qin Liu, Antía Lamas-Linares, Johannes Skaar, Valerio Scarani, Vadim Makarov, Christian Kurtsiefer, "Experimentally Faking the Violation of Bell’s Inequalities". Physical Review Letters, 107, 170404 (2011). Abstract.
[7] M. A. Rowe, D. Kielpinski, V. Meyer, C. A. Sackett, W. M. Itano, C. Monroe, and D. J. Wineland, "Experimental violation of a Bell's inequality with efficient detection". Nature 409, 791 (2001). Abstract.
[8] Julian Hofmann, Michael Krug, Norbert Ortegel, Lea Gérard, Markus Weber, Wenjamin Rosenfeld, Harald Weinfurter. "Heralded Entanglement Between Widely Separated Atoms". Science 337, 72 (2012). Abstract.
[9] Marissa Giustina, Alexandra Mech, Sven Ramelow, Bernhard Wittmann, Johannes Kofler, Jörn Beyer, Adriana Lita, Brice Calkins, Thomas Gerrits, Sae Woo Nam, Rupert Ursin, Anton Zeilinger, "Bell violation using entangled photons without the fair-sampling assumption". Nature 497, 227 (2013). Abstract.
[10] Philippe H. Eberhard, "Background Level and Counter Efficiencies Required for a Loophole-Free Einstein-Podolsky-Rosen Experiment". Physical Review A 47, 747 (1993). Abstract.
[11] Zeeya Merali, "Quantum Mechanics Braces for the Ultimate Test". Science 331, 1380 (2011). Abstract.



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