ua nt - p h / 02 12 12 2 v 2 1 J an 2 00 3 Continuous - Variable Quantum Games ⋆

ua nt - p h / 02 12 12 2 v 1 2 0 D ec 2 00 2 Continuous - Variable Quantum Games ⋆

We investigate the quantization of games in which the players can access to a continuous set of classical strategies, making use of continuous-variable quantum systems. For the particular case of the Cournot’s Duopoly, we find that, even though the two players both act as “selfishly” in the quantum game as they do in the classical game, they are found to virtually cooperate due to the quantum e...

ar X iv : q ua nt - p h / 02 10 14 1 v 1 2 1 O ct 2 00 2 A CONTINUOUS VARIABLE SHOR ALGORITHM

In this paper, we use the methods found in [12] to create a continuous variable analogue of Shor’s quantum factoring algorithm. By this we mean a quantum hidden subgroup algorithm that finds the period P of a function Φ : R −→ C from the reals R to the complex numbers C, where Φ belongs to a very general class of functions, called the class of admissible functions. This algorithm gives some ins...

ua nt - p h / 01 10 12 2 v 2 8 J an 2 00 3 Entanglement Enhanced Multiplayer Quantum Games ⋆

We investigate the 3-player quantum Prisoner’s Dilemma with a certain strategic space, a particular Nash equilibrium that can remove the original dilemma is found. Based on this equilibrium, we show that the game is enhanced by the entanglement of its initial state.

ua nt - p h / 01 01 02 8 v 2 6 J an 2 00 1 QUANTUM LOGICS

ar X iv : q ua nt - p h / 03 09 02 9 v 1 2 S ep 2 00 3 Rule ( 4 ) and Continuous Observation Richard

The effect of rule (4) on a series or parallel sequence of quantum mechanical steps is to insure that a conscious observer does not skip a step. This rule effectively places the observer in continuous contact with the system.