Zobrazeno 1 - 10
of 159
pro vyhledávání: '"Vertesi, Tamas"'
Grothendieck constants $K_G(d)$ bound the advantage of $d$-dimensional strategies over $1$-dimensional ones in a specific optimisation task. They have applications ranging from approximation algorithms to quantum nonlocality. However, apart from $d=2
Externí odkaz:
http://arxiv.org/abs/2409.03739
Publikováno v:
New J. Phys. 26, 063012 (2024)
Self-testing is a promising approach to certifying quantum states or measurements. Originally, it relied solely on the outcome statistics of the measurements involved in a device-independent (DI) setup. Extra physical assumptions about the system mak
Externí odkaz:
http://arxiv.org/abs/2406.08661
Autor:
Cieśliński, Paweł, Knips, Lukas, Kowalczyk, Mateusz, Laskowski, Wiesław, Paterek, Tomasz, Vértesi, Tamás, Weinfurter, Harald
Publikováno v:
Proc. Natl. Acad. Sci. U.S.A. 121, (44) e2404455121 (2024)
Quantum mechanics imposes limits on the statistics of certain observables. Perhaps the most famous example is the uncertainty principle. Similar trade-offs also exist for the simultaneous violation of multiple Bell inequalities. In the simplest case
Externí odkaz:
http://arxiv.org/abs/2312.04373
We consider the problem of optimizing the state average of a polynomial of non-commuting variables, over all states and operators satisfying a number of polynomial constraints, and over all Hilbert spaces where such states and operators are defined.
Externí odkaz:
http://arxiv.org/abs/2311.18707
Publikováno v:
Phys. Rev. A 109, 022205 (2024)
In multipartite Bell scenarios, we study the nonlocality robustness of the Greenberger-Horne-Zeilinger (GHZ) state. When each party performs planar measurements forming a regular polygon, we exploit the symmetry of the resulting correlation tensor to
Externí odkaz:
http://arxiv.org/abs/2310.20677
Publikováno v:
npj Quantum Information 10, 79 (2024)
According to Bell's theorem, certain entangled states cannot be simulated classically using local hidden variables (LHV). But if can we augment LHV by classical communication, how many bits are needed to simulate them? There is a strong evidence that
Externí odkaz:
http://arxiv.org/abs/2308.10771
Autor:
Cieśliński, Paweł, Imai, Satoya, Dziewior, Jan, Gühne, Otfried, Knips, Lukas, Laskowski, Wiesław, Meinecke, Jasmin, Paterek, Tomasz, Vértesi, Tamás
Publikováno v:
Phys. Rep. 1095, 1 (2024)
Measurements with randomly chosen settings determine many important properties of quantum states without the need for a shared reference frame or calibration. They naturally emerge in the context of quantum communication and quantum computing when de
Externí odkaz:
http://arxiv.org/abs/2307.01251
Self-testing is a powerful method for certifying quantum systems. Initially proposed in the device-independent (DI) setting, self-testing has since been relaxed to the semi-device-independent (semi-DI) setting. In this study, we focus on the self-tes
Externí odkaz:
http://arxiv.org/abs/2306.07248
Publikováno v:
Phys. Rev. Lett. 131, 250802 (2023)
We consider communication scenarios where one party sends quantum states of known dimensionality $D$, prepared with an untrusted apparatus, to another, distant party, who probes them with uncharacterized measurement devices. We prove that, for any en
Externí odkaz:
http://arxiv.org/abs/2306.00730
Publikováno v:
Sci. Rep. 13, 13200 (2023)
We address the problem of testing the quantumness of two-dimensional systems in the prepare-and-measure (PM) scenario, using a large number of preparations and a large number of measurement settings, with binary outcome measurements. In this scenario
Externí odkaz:
http://arxiv.org/abs/2211.17185