Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Araujo, Mateus"'
Non-commutative polynomial optimization (NPO) problems seek to minimize the state average of a polynomial of some operator variables, subject to polynomial constraints, over all states and operators, as well as the Hilbert spaces where those might be
Externí odkaz:
http://arxiv.org/abs/2408.02572
Continuous variable quantum key distribution (CVQKD) with discrete modulation combines advantages of CVQKD, such as the implementability using readily available technologies, with advantages of discrete variable quantum key distribution, such as easi
Externí odkaz:
http://arxiv.org/abs/2407.03087
Computing key rates in quantum key distribution (QKD) numerically is essential to unlock more powerful protocols, that use more sophisticated measurement bases or quantum systems of higher dimension. It is a difficult optimization problem, that depen
Externí odkaz:
http://arxiv.org/abs/2407.00152
Autor:
Garner, Andrew J. P., Araújo, Mateus
Non-commutative polynomial optimization is a powerful technique with numerous applications in quantum nonlocality, quantum key distribution, causal inference, many-body physics, amongst others. The standard approach is to reduce such optimizations to
Externí odkaz:
http://arxiv.org/abs/2406.15559
Autor:
Gigena, Nicolas, Panwar, Ekta, Scala, Giovanni, Araújo, Mateus, Farkas, Máté, Chaturvedi, Anubhav
The degree of experimentally attainable nonlocality, as gauged by the amount of loophole-free violation of Bell inequalities, remains severely limited due to inefficient detectors. We address an experimentally motivated question: Which quantum strate
Externí odkaz:
http://arxiv.org/abs/2405.08743
High-dimensional quantum key distribution (QKD) offers higher information capacity and stronger resilience to noise compared to its binary counterpart. However, these advantages are often hindered by the difficulty of realizing the required high-dime
Externí odkaz:
http://arxiv.org/abs/2403.04210
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
Semidefinite programs are convex optimisation problems involving a linear objective function and a domain of positive semidefinite matrices. Over the last two decades, they have become an indispensable tool in quantum information science. Many otherw
Externí odkaz:
http://arxiv.org/abs/2307.02551
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
Autor:
Araújo, Mateus
Publikováno v:
Phys. Rev. A 107, 036201 (2023)
In Ref. [1] the authors claim that the Almost Quantum set of correlations cannot reproduce two points on the boundary of the quantum set of correlations. This claim is incorrect. The underlying issue is that the associated SDP is not strictly feasibl
Externí odkaz:
http://arxiv.org/abs/2302.03529