A number of elegant approaches have been developed for the identification of quantum circuits which can be efficiently simulated on a classical computer. Recently, these methods have been employed to demonstrate the classical simulability of the quantum Fourier transform (QFT). Here we show that one can demonstrate a number of simulability results for QFT circuits in a straightforward manner us...

A. In a recent paper, M. Green and P. Griffiths used R. Thomas’ work on nodal hypersurfaces to sketch a proof of the equivalence of the Hodge conjecture and the existence of certain singular admissible normal functions. Inspired by their work, we study normal functions using Morihiko Saito’s mixed Hodge modules and prove that the existence of singularities of the type considered by Griff...

A number of elegant approaches have been developed for the identification of quantum circuits which can be efficiently simulated on a classical computer. Recently, these methods have been employed to demonstrate the classical simulability of the quantum Fourier transform (QFT). Here we show that one can demonstrate a number of simulability results for QFT circuits in a straightforward manner us...

In a recent paper Griffiths claims that the consistent histories interpretation of quantum mechanics gives rise to results that contradict those obtained from the Bohm interpretation. This is in spite of the fact that both claim to provide a realist interpretation of the formalism without the need to add any new mathematical content and both always produce exactly the same probability predictio...

One key limitation with the contemporary online gaming research literature is that much of the published research has tended to examine only one genre of games (i.e., Massively Multi-player Online Role Playing Games). Three relatively little studied online games are First Person Shooter (FPS) Games, Role Play Games (RPG), and Real Time Strategy (RTS) Games. Therefore, the current study examines...

Abstract We study the Glauber dynamics of Ising spin models with random bonds, on finitely connected random graphs. We generalize a recent dynamical replica theory with which to predict the evolution of the joint spin-field distribution, to include random graphs with arbitrary degree distributions. The theory is applied to Ising ferromagnets on randomly diluted Bethe lattices, where we study th...

The view exists that the Bell inequality is a mere inconsistent application of classical concepts to well-established quantum world. In article, ``Nonlocality claims are with Hilbert-space mechanics'' [Phys. Rev. A 101, 022117 (2020)], R. B. Griffiths advocates for theory's locality. Although presents valuable insights in favor mechanics' local character, he argues an physics mechanics. We expl...

In customizing the neutral model for language transmission , Reali & Griffiths [1] have added a new, 'Bayesian' learning interpretation to a neutral model that has been used in cultural evolution studies for some time (e.g. [2 –6]). While Reali & Griffiths [1, p. 435] dismiss previous applications of this neutral model as being used merely 'as a metaphor', it has been explored in quantitative d...

We demonstrate that local density of states fluctuations in disordered Anderson lattice models universally lead to the emergence of non-Fermi liquid (NFL) behavior. The NFL regime appears at moderate disorder ( W = Wc) and is characterized by power-law anomalies, e.g., C/T approximately 1/T((1-alpha)), where the exponent alpha varies continuously with disorder, as in other Griffiths phases. Thi...

We consider Glauber-type dynamics for disordered Ising spin systems with nearest neighbor pair interactions in the Griffiths phase. We prove that in a nontrivial portion of the Griffiths phase the system has exponentially decaying correlations of distant functions with probability exponentially close to 1. This condition has, in turn, been shown elsewhere to imply that the convergence to equili...