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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...

    Zhian Jia, Sheng Tan, Dagomir Kaszlikowski in Communications in Mathematical Physics (2023)

  2. Article

    Open Access

    Boundary 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...

    Zhian Jia, Dagomir Kaszlikowski, Sheng Tan in Journal of High Energy Physics (2023)

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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...

    Dagomir Kaszlikowski, Paweł Kurzyński in The Quantum-Like Revolution (2023)

  4. Article

    Open Access

    A 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...

    Dagomir Kaszlikowski, Paweł Kurzyński in Foundations of Physics (2021)

  5. Article

    Open Access

    From 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...

    Marcin Markiewicz, Dagomir Kaszlikowski, Paweł Kurzyński in npj Quantum Information (2019)

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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...

    Paweł Kurzyński, Dagomir Kaszlikowski in Quanta and Mind (2019)

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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.

    Dagomir Kaszlikowski, Paweł Kurzyński in Quantum Interaction (2017)

  8. Article

    Open Access

    An 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...

    Jayne Thompson, Robert Pisarczyk, Paweł Kurzyński in Scientific Reports (2013)

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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...

    Marcin Pawłowski, Tomasz Paterek, Dagomir Kaszlikowski, Valerio Scarani in Nature (2009)

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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...

    Dagomir Kaszlikowski, Marek Żukowski in International Journal of Theoretical Physics (2003)

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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...

    Marek Żukowski, Dagomir Kaszlikowski in Epistemological and Experimental Perspecti… (1999)