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The scope of this review is to give a pedagogical introduction to some new calculations and methods developed by the author in the context of quantum groups and their applications. The review is self-contained and serves as a "first aid kit" before one ventures into the beautiful but bewildering landscape of Woronowicz's theory.
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Bipartite nonlocality with a many-body system
We consider a bipartite scenario where two parties hold ensembles of 1/2-spins which can only be measured collectively. We give numerical arguments supporting the conjecture that in this scenario no Bell inequality can be violated for arbitrary numbers ...
Enky Oudot +3 more
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Unfree gauge symmetry in the BV formalism
The BV formalism is proposed for the theories where the gauge symmetry parameters are unfree, being constrained by differential equations.
D. S. Kaparulin, S. L. Lyakhovich
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Non-isometric codes for the black hole interior from fundamental and effective dynamics
We introduce a new holographic map for encoding black hole interiors by including both fundamental and effective dynamics. This holographic map is constructed by evolving a state in the effective, semiclassical gravity description of the interior ...
Oliver DeWolfe, Kenneth Higginbotham
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Discrete quantum theories [PDF]
We explore finite-field frameworks for quantum theory and quantum computation. The simplest theory, defined over unrestricted finite fields, is unnaturally strong. A second framework employs only finite fields with no solution to x^2+1=0, and thus permits an elegant complex representation of the extended field by adjoining i=\sqrt{-1}. Quantum theories
Hanson, Andrew J. +3 more
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Post-quantum steering is a stronger-than-quantum resource for information processing
We present the first instance where post-quantum steering is a stronger-than-quantum resource for information processing – remote state preparation.
Paulo J. Cavalcanti +4 more
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The paradoxical features of quantum theory are usually formulated for fixed number of particles. While one can now find a formulation of Bell’s theorem for quantum fields, a Kochen–Specker-type reasoning is usually formulated for just one particle, or ...
Konrad Schlichtholz +2 more
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Proposal for demonstration of long-range cluster state entanglement in the presence of photon loss
Photonic cluster states are a crucial resource for optical quantum computing. Recently a quantum dot single photon source has been demonstrated to produce strings of single photons in a small linear cluster state.
Thomas Nutz +3 more
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Quantum theory from quantum gravity [PDF]
17 pages, 2 eps ...
Markopoulou, Fotini, Smolin, Lee
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