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pro vyhledávání: '"Giorgetti, Alain"'
Autor:
Muller, Axel, Giorgetti, Alain
This article delves into the concept of quantum contextuality, specifically focusing on proofs of the Kochen-Specker theorem obtained by assigning Pauli observables to hypergraph vertices satisfying a given commutation relation. The abstract structur
Externí odkaz:
http://arxiv.org/abs/2410.14463
We introduce and describe a new heuristic method for finding an upper bound on the degree of contextuality and the corresponding unsatisfied part of a quantum contextual configuration with three-element contexts (i.e., lines) located in a multi-qubit
Externí odkaz:
http://arxiv.org/abs/2407.02928
Autor:
Saniga, Metod, Holweck, Frédéric, Kelleher, Colm, Muller, Axel, Giorgetti, Alain, de Boutray, Henri
As it is well known, split Cayley hexagons of order two live in the three-qubit symplectic polar space in two non-isomorphic embeddings, called classical and skew. Although neither of the two embeddings yields observable-based contextual configuratio
Externí odkaz:
http://arxiv.org/abs/2312.07738
Publikováno v:
Math. Struct. Comp. Sci. 34 (2024) 322-343
We present algorithms and a C code to reveal quantum contextuality and evaluate the contextuality degree (a way to quantify contextuality) for a variety of point-line geometries located in binary symplectic polar spaces of small rank. With this code
Externí odkaz:
http://arxiv.org/abs/2305.10225
There are several ways to formally represent families of data, such as lambda terms, in a type theory such as the dependent type theory of Coq. Mathematical representations are very compact ones and usually rely on the use of dependent types, but the
Externí odkaz:
http://arxiv.org/abs/2212.10453
Publikováno v:
Journal of Computational Science 64 (2022) 101853
For $N \geq 2$, an $N$-qubit doily is a doily living in the $N$-qubit symplectic polar space. These doilies are related to operator-based proofs of quantum contextuality. Following and extending the strategy of Saniga et al. (Mathematics 9 (2021) 227
Externí odkaz:
http://arxiv.org/abs/2206.03599
Publikováno v:
Journal of Physics A: Mathematical and Theoretical 55 (2022) 475301
Quantum contextuality takes an important place amongst the concepts of quantum computing that bring an advantage over its classical counterpart. For a large class of contextuality proofs, aka. observable-based proofs of the Kochen-Specker Theorem, we
Externí odkaz:
http://arxiv.org/abs/2105.13798
Publikováno v:
Mathematics 9 (2021) 2272
We study certain physically-relevant subgeometries of binary symplectic polar spaces $W(2N-1,2)$ of small rank $N$, when the points of these spaces canonically encode $N$-qubit observables. Key characteristics of a subspace of such a space $W(2N-1,2)
Externí odkaz:
http://arxiv.org/abs/2105.03635
The entanglement of a quantum system can be valuated using Mermin polynomials. This gives us a means to study entanglement evolution during the execution of quantum algorithms. We first consider Grover's quantum search algorithm, noticing that states
Externí odkaz:
http://arxiv.org/abs/2001.05192
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