Conflict-free collective stochastic decision making by orbital angular
momentum entangled photons
- URL: http://arxiv.org/abs/2107.00877v1
- Date: Fri, 2 Jul 2021 07:32:01 GMT
- Title: Conflict-free collective stochastic decision making by orbital angular
momentum entangled photons
- Authors: Takashi Amakasu, Nicolas Chauvet, Guillaume Bachelier, Serge Huant,
Ryoichi Horisaki, Makoto Naruse
- Abstract summary: We propose a scalable principle to solve competitive decision-making situations by using the orbital angular momentum as the tunable degree of freedom of photons.
We numerically examine total rewards regarding three-armed bandit problems, for which the proposed strategy accomplishes almost the theoretical maximum.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In recent cross-disciplinary studies involving both optics and computing,
single-photon-based decision-making has been demonstrated by utilizing the
wave-particle duality of light to solve multi-armed bandit problems.
Furthermore, entangled-photon-based decision-making has managed to solve a
competitive multi-armed bandit problem in such a way that conflicts of
decisions among players are avoided while ensuring equality. However, as these
studies are based on the polarization of light, the number of available choices
is limited to two, corresponding to two orthogonal polarization states. Here we
propose a scalable principle to solve competitive decision-making situations by
using the orbital angular momentum as the tunable degree of freedom of photons,
which theoretically allows an unlimited number of arms. Moreover, by extending
the Hong-Ou-Mandel effect to more than two states, we theoretically establish
an experimental configuration able to generate entangled photon states with
orbital angular momentum and conditions that provide conflict-free selections
at every turn. We numerically examine total rewards regarding three-armed
bandit problems, for which the proposed strategy accomplishes almost the
theoretical maximum, which is greater than a conventional mixed strategy
intending to realize Nash equilibrium. This is thanks to the entanglement
property that achieves no-conflict selections, even in the exploring phase to
find the best arms.
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