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Within the established theoretical framework of quantum mechanics, interference always occurs between pairs of trajectories. Higher order interferences with multiple constituents are, however, excluded by Born's rule and can only exist in…

Quantum Physics · Physics 2017-03-29 Thomas Kauten , Robert Keil , Thomas Kaufmann , Benedikt Pressl , Časlav Brukner , Gregor Weihs

The Born rule is at the foundation of quantum mechanics and transforms our classical way of understanding probabilities by predicting that interference occurs between pairs of independent paths of a single object. One consequence of the…

Quantum Physics · Physics 2012-12-04 Daniel K. Park , Osama Moussa , Raymond Laflamme

In Mod. Phys. Lett. A 9, 3119 (1994), one of us (R.D.S) investigated a formulation of quantum mechanics as a generalized measure theory. Quantum mechanics computes probabilities from the absolute squares of complex amplitudes, and the…

Interference between two waves is a well-known concept in physics, and its generalization to more than two waves is straight-forward. The order of interference is defined as the number of paths that interfere in a manner that cannot be…

We present a new experimental approach using a three-path interferometer and find a tighter empirical upper bound on possible violations of Born's Rule. A deviation from Born's rule would result in multi-order interference. Among the…

Born's rule, one of the cornerstones of quantum mechanics, relates detection probabilities to the modulus square of the wave function. Single-particle interference is accordingly limited to pairs of quantum paths and higher-order…

Quantum Physics · Physics 2021-05-13 Marc-Oliver Pleinert , Joachim von Zanthier , Eric Lutz

Canonical quantum formalism predicts that the interference pattern registered in multi-slit experiments should be a simple combination of patterns observed in two-slit experiments. This has been linked to the validity of Born's rule and…

Quantum Physics · Physics 2020-05-27 Kai Sheng Lee , Zhao Zhuo , Christophe Couteau , David Wilkowski , Tomasz Paterek

We present a new tool for calculating the interference patterns and particle trajectories of a double-, three- and N-slit system on the basis of an emergent sub-quantum theory developed by our group throughout the last years. The quantum…

Quantum Physics · Physics 2014-03-14 Siegfried Fussy , Johannes Mesa Pascasio , Herbert Schwabl , Gerhard Groessing

It has been suggested by Sorkin that a three-slit Young experiment could reveal the validity a fundamental ingredient in the foundations of one of the cornerstones in modern physics namely quantum mechanics. In terms of a certain parameter…

Quantum Physics · Physics 2018-08-01 Bo-Sture K. Skagerstam

As a fundamental postulate of quantum mechanics, Born's rule assigns probabilities to the measurement outcomes of quantum systems and excludes multi-order quantum interference. Here we report an experiment on a single spin in diamond to…

Quantum theory permits interference between indistinguishable paths but, at the same time, restricts its order. Single-particle interference, for instance, is limited to the second order, that is, to pairs of single-particle paths. To date,…

Quantum Physics · Physics 2021-05-13 Marc-Oliver Pleinert , Alfredo Rueda , Eric Lutz , Joachim von Zanthier

As first noted by Rafael Sorkin, there is a limit to quantum interference. The interference pattern formed in a multi-slit experiment is a function of the interference patterns formed between pairs of slits, there are no genuinely new…

Quantum Physics · Physics 2017-07-14 Howard Barnum , Ciarán M. Lee , Carlo Maria Scandolo , John H. Selby

The double-slit experiment is the most direct demonstration of interference between individual quantum objects. Since similar experiments with single particles and more slits produce interference fringes reducible to a combination of…

Quantum Physics · Physics 2021-05-11 Lee A. Rozema , Zhao Zhuo , Tomasz Paterek , Borivoje Dakić

The validity of the superposition principle and of Born's rule are well-accepted tenants of quantum mechanics. Surprisingly, it has recently been predicted that the intensity pattern formed in a three-slit experiment is seemingly in…

In spite of the interference manifested in the double-slit experiment, quantum theory predicts that a measure of interference defined by Sorkin and involving various outcome probabilities from an experiment with three slits, is identically…

Quantum Physics · Physics 2015-05-14 Cozmin Ududec , Howard Barnum , Joseph Emerson

We consider how the Born rule, a fundamental principle of quantum mechanics, can be tested for particles created on the shortest timescales ($\sim10^{-25}\,\mathrm{s}$) currently accessible at high-energy colliders. We focus on targeted…

High Energy Physics - Phenomenology · Physics 2026-01-05 Antony Valentini , Mira Varma

We analyze Niels Bohr's proposed two-slit interference experiment with highly charged particles that argues that the consistency of elementary quantum mechanics requires that the electromagnetic field must be quantized. In the experiment a…

Quantum Physics · Physics 2009-04-28 Gordon Baym , Tomoki Ozawa

In which-way double-slit experiments with perfect detectors, it is assumed that having a second detector at the slits is redundant, as it will not change the interference pattern. We however show that if higher-order or non-classical paths…

Quantum Physics · Physics 2017-05-03 James Q. Quach

A non-relativistic quantum mechanical theory is proposed that describes the universe as a continuum of worlds whose mutual interference gives rise to quantum phenomena. A logical framework is introduced to properly deal with propositions…

Quantum Physics · Physics 2015-08-18 Kim Joris Boström

Quantum mechanics has withstood every experimental test thus far. However, it relies on ad-hoc postulates which require experimental verification. Over the past decade there has been a great deal of research testing these postulates, with…

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