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Vector vortex implementation of a quantum game

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TLDR
In this paper, the quantum prisoners dilemma was implemented in the quantum version of the game and the classical paraxial spin and orbital spin-orbit modes were exploited to implement the most important strategies.
Abstract
The concept of nonseparability between spin and orbital degrees of freedom of laser modes is applied in the implementation of the quantum prisoners dilemma. The quantum version of the game brings novel features with a richer universe of strategies and is one of the basic examples to illustrate the concepts of game theory. Exploiting the classical paraxial spin–orbit modes, we implemented the most important strategies that can be achieved in the quantum version of the game.

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Citations
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Journal ArticleDOI

Using the nonseparability of vector beams to encode information for optical communication

TL;DR: It is shown that 2 bits of information can be encoded when applying the identity and three Pauli operators to its polarization degree of freedom, and that vector beams can be efficiently decoded with as low as 2.7% cross talk.

Spin-orbit hybrid entanglement of photons and quantum contextuality (vol 82, 022115, 2010)

TL;DR: In this article, the authors demonstrate electromagnetic quantum states of single photons and of correlated photon pairs exhibiting hybrid entanglement between spin and orbital angular momentum, obtained from entangled photon pairs emitted by spontaneous parametric down conversion.
Journal ArticleDOI

Entanglement beating in free space through spin-orbit coupling.

TL;DR: Using local Bell states engineered from classical vector vortex beams with non-separable degrees of freedom, the so-called classically entangled states, it is demonstrated that the entanglement evolves during propagation, oscillating between maximally entangled and product states (purely scalar).
Journal ArticleDOI

Quantum games: a review of the history, current state, and interpretation

TL;DR: This work reviews both theoretical and experimental developments in the area of quantum games since the inception of the subject circa 1999 and offers a narrative on the controversy that surrounded the subject in its early days.
Journal ArticleDOI

Quantum games: a review of the history, current state, and interpretation

TL;DR: In this paper, the authors review both theoretical and experimental developments in the area of quantum games since the inception of the subject circa 1999 and offer a narrative on the controversy that surrounded the subject in its early days.
References
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Journal ArticleDOI

Entanglement of Formation of an Arbitrary State of Two Qubits

TL;DR: In this article, an explicit formula for the entanglement of formation of a pair of binary quantum objects (qubits) as a function of their density matrix was conjectured.
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Astigmatic laser mode converters and transfer of orbital angular momentum

TL;DR: In this paper, a mode converter based on the Gouy phase was proposed to transform a Hermite-gaussian mode of arbitrarily high order to a Laguerre-Gaussian mode and vice versa.
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Emergence of cooperation and organization in an evolutionary game

TL;DR: Interesting cooperation and competition patterns of the society seem to arise and to be responsive to the payoff function.
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Quantum Games and Quantum Strategies

TL;DR: In this article, the authors investigated the quantization of nonzero sum games and showed that the Prisoners' Dilemma does not pose a dilemma if quantum strategies are allowed for, and constructed a particular quantum strategy which always gives reward if played against any classical strategy.
Journal ArticleDOI

Quantum strategies

TL;DR: It is proved that in general a quantum strategy is always at least as good as a classical one, and furthermore that when both players use quantum strategies there need not be any equilibrium, but if both are allowed mixed quantum strategiesthere must be.
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