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Article
On Weak Hopf Symmetry and Weak Hopf Quantum Double Model
Symmetry is a central concept for classical and quantum field theory, usually, symmetry is described by a finite group or Lie group. In this work, we introduce the weak Hopf algebra extension of symmetry, whic...
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Article
Open AccessBoundary and domain wall theories of 2d generalized quantum double model
The generalized quantum double lattice realization of 2d topological orders based on Hopf algebras is discussed in this work. Both left-module and right-module constructions are investigated. The ribbon operators...
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Chapter
Alternative Quantum Mechanics?
and are the most frequently used tools to interpret quantum mechanical phenomena. However, quantum and operations are equivalent to negative distributions and stochastic processes via a mathematical m...
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Article
Open AccessA Little Bit of Classical Magic to Achieve (Super-)Quantum Speedup
We introduce nebit, a classical bit with a signed probability distribution. We study its properties and basic transformations that can be applied to it. Then, we introduce a simple dynamical model – a classical r...
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Article
Open AccessFrom contextuality of a single photon to realism of an electromagnetic wave
Violations of Bell inequalities have been an incontestable indicator of non-classicality since the seminal paper by John Bell. However, recent claims of Bell inequalities violations with classical light have c...
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Chapter
Quantum Schmuntum?
Although macroscopic objects, from simple gases to highly complex biological matter, are made of a large number of microscopic structures that can be in principle described by quantum physics, we argue that it...
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Chapter and Conference Paper
On Peculiar Relations Between Measurement Incompatibility and Contextuality
We use algorithmic information to define co-measurability of observables and investigate its relation to the phenomenon of quantum contextuality.
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Article
Open AccessAn experimental proposal for revealing contextuality in almost all qutrit states
Contextuality is a foundational phenomenon underlying key differences between quantum theory and classical realistic descriptions of the world. Here we propose an experimental test which is capable of revealin...
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Article
Information causality as a physical principle
A broad class of theories exist which share the distinguishing characteristics of quantum mechanics, but allow even stronger correlations. Therefore a criterion that could be used to distinguish physical theor...
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Article
Three Qubit GHZ Correlations and Generalized Bell Experiments
We present a brief historical introduction to the topic of Bell's theorem. Next we present the surprising features of the three-particle Greenberger—Horne—Zeilinger (GHZ) states. Finally we shall present a met...
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Chapter
Greenberger-Horne-Zeilinger Paradox for Three Tritters
The paradox of Greenberger, Horne and Zeilinger (1989) (GHZ) (see also Greenberger et al (1990)) has shed new light on the debate on the foundations of quantum physics. Simply, the premises of the Einstein-Pod...