Search results for "Symmetric probability distribution"

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On symmetric nonlocal games

2013

Abstract Nonlocal games are used to display differences between the classical and quantum world. In this paper, we study symmetric XOR games, which form an important subset of nonlocal games. We give simple methods for calculating the classical and the quantum values for symmetric XOR games with one-bit input per player. We illustrate those methods with two examples. One example is an N -player game (due to Ardehali (1992) [3] ) that provides the maximum quantum-over-classical advantage. The second example comes from generalization of CHSH game by letting the referee to choose arbitrary symmetric distribution of players’ inputs.

Discrete mathematicsComputer Science::Computer Science and Game TheoryGeneral Computer ScienceQuantum pseudo-telepathyGeneralizationSymmetric gameComputingMilieux_PERSONALCOMPUTINGCombinatorial game theoryTheoryofComputation_GENERALSymmetric probability distributionTheoretical Computer ScienceSimple (abstract algebra)Quantum worldMathematical economicsQuantumMathematicsTheoretical Computer Science
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Experimental investigation of resonant activation

2000

We experimentally investigate the escape from a metastable state over a fluctuating barrier of a physical system. The system is switching between two states under electronic control of a dichotomous noise. We measure the escape time and its probability density function as a function of the correlation rate of the dichotomous noise in a frequency interval spanning more than 4 frequency decades. We observe resonant activation, namely a minimum of the average escape time as a function of the correlation rate. We detect two regimes in the study of the shape of the escape time probability distribution: (i) a regime of exponential and (ii) a regime of non-exponential probability distribution.

PhysicsHalf-normal distributionStatistical Mechanics (cond-mat.stat-mech)Physical systemFOS: Physical sciencesGeneral Physics and AstronomyProbability density functionSymmetric probability distributionNoise (electronics)Exponential functionProbability distributionStatistical physicsReciprocal distributionCondensed Matter - Statistical MechanicsPhysical review letters
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