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In classical optics, Young's double-slit experiment with colored coherent light gives rise to individual interference fringes for each light frequency, referring to single-photon interference. However, two-photon double-slit interference…

Quantum Physics · Physics 2017-09-11 De-Jian Zhang , Shuang Wu , Hong-Guo Li , Hai-Bo Wang , Jun Xiong , Kaige Wang

A standard two-path interferometer fed into a linear N-port analyzer with coincidence detection of its output ports is analyzed. The N-port is assumed to be implemented as a discrete Fourier transformation $\cal F$, i.e., to be balanced.…

Quantum Physics · Physics 2007-05-23 Ole Steuernagel

We report on the simultaneous determination of complementary wave and particle aspects of light in a double-slit type "welcher-weg" experiment beyond the limitations set by Bohr's Principle of Complementarity. Applying classical logic, we…

Quantum Physics · Physics 2007-05-23 Shahriar S. Afshar , Eduardo Flores , Keith F. McDonald , Ernst Knoesel

We analyze Doppler-effect experiments in terms of a general framework for violations of Lorentz symmetry: the Standard-Model Extension. These experiments are found to be sensitive to heretofore unprobed combinations of Lorentz-violation…

High Energy Physics - Phenomenology · Physics 2007-05-23 Charles D. Lane

As per Einstein's design, particles are introduced into the double-slit experiment through a small hole in a plate which can either move up and down (and its momentum can be measured) or be stopped (and its position can be measured).…

Quantum Physics · Physics 2019-02-22 Arkady Bolotin

We investigate the advantages of using two independent, linear detectors for continuous quantum measurement. For single-shot quantum measurement, the measurement is maximally efficient if the detectors are twins. For weak continuous…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Andrew N. Jordan , Markus Buttiker

We exploit the notion of which-slit detector introduced by Englert, Scully and Walther (ESW), to show that two incompatible properties can be detected together for each particle hitting the screen, without disturbing the center-of-mass…

Quantum Physics · Physics 2015-06-26 Giuseppe Nistico' , Angela Sestito

Quantum steering can be detected via the violation of steering inequalities, which provide sufficient conditions for the steerability of quantum states. Here we discuss the converse problem, namely ensuring that a state is unsteerable, and…

Quantum Physics · Physics 2016-03-21 Joseph Bowles , Flavien Hirsch , Marco Túlio Quintino , Nicolas Brunner

Using the existing classification of all alternatives to the measurement postulates of quantum theory we study the properties of bi-partite systems in these alternative theories. We prove that in all these theories the purification…

Quantum Physics · Physics 2018-11-08 Thomas D. Galley , Lluis Masanes

We show that the two slit experiment in which a single quantum particle interferes with itself can be interpreted as a quantum fingerprinting protocol: the interference pattern exhibited by the particle contains information about the…

Quantum Physics · Physics 2007-05-23 Serge Massar

With the exception of superselection rules, there are no known explicit violations of the Principle of quantum Superposition. However, quantum measurement and the emergence of classicality seem to imply that the Principle of Superposition…

Quantum Physics · Physics 2016-04-19 Ovidiu Cristinel Stoica

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

Permutations of particle labels are usually used to illustrate the relationship between classical and quantum statistics. We use permutations of attributes/properties of particles to express properties of waves. We express events of the…

Quantum Physics · Physics 2008-04-28 Genta Ito

A quantum two-path interferometer allows for direct measurement of the transmission phase shift of an electron, providing useful information on coherent scattering problems. In mesoscopic systems, however, the two-path interference is…

Mesoscale and Nanoscale Physics · Physics 2015-08-13 S. Takada , M. Yamamoto , C. Bäuerle , K. Watanabe , A. Ludwig , A. D. Wieck , S. Tarucha

In this paper I present a thought experiment that gives different results depending on whether or not the wavefunction collapses. Since the wavefunction does not obey the Schrodinger equation during the collapse, conservation laws are…

Quantum Physics · Physics 2020-10-29 Sivapalan Chelvaniththilan

Quantum theory has evolved from a set of provisional rules to an indispensable framework that underlies much of modern technology and infrastructure. Yet, after a century, Born's probability postulate remains at odds with the theory's…

Quantum Physics · Physics 2025-08-19 Lionel Brits

A double-slit experiment with entangled photons is theoretically analyzed. It is shown that, under suitable conditions, two entangled photons of wavelength $\lambda$ can behave like a \emph{biphoton} of wavelength $\lambda/2$. The…

Quantum Physics · Physics 2018-02-23 Ananya Paul , Tabish Qureshi

The superposition principle is usually incorrectly applied in interference experiments. This has recently been investigated through numerics based on Finite Difference Time Domain (FDTD) methods as well as the Feynman path integral…

Quantum Physics · Physics 2016-10-12 Aninda Sinha , Aravind H. Vijay , Urbasi Sinha

We test the validity of Feynman's idea that a two-slit experiment performed with classical objects (bullets) does not produce observable interference fringes on the detection screen because the Compton's wavelength of the bullets is so…

Quantum Physics · Physics 2015-09-07 Marco Ornigotti , Andrea Aiello

In solving a system of $n$ linear equations in $d$ variables $Ax=b$, the condition number of the $n,d$ matrix $A$ measures how much errors in the data $b$ affect the solution $x$. Estimates of this type are important in many inverse…

Machine Learning · Computer Science 2020-04-29 Tomaso Poggio , Gil Kur , Andrzej Banburski