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92
Geometric and Renormalized Entropy in Conformal Field Theory
 Nucl. Phys. B
, 1994
"... In statistical physics, useful notions of entropy are defined with respect to some coarse graining procedure over a microscopic model. Here we consider some special problems that arise when the microscopic model is taken to be relativistic quantum field theory. These problems are associated with the ..."
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Cited by 43 (0 self)
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In statistical physics, useful notions of entropy are defined with respect to some coarse graining procedure over a microscopic model. Here we consider some special problems that arise when the microscopic model is taken to be relativistic quantum field theory. These problems are associated with the existence of an infinite number of degrees of freedom per unit volume. Because of these the microscopic entropy can, and typically does, diverge for sharply localized states. However the difference in the entropy between two such states is better behaved, and for most purposes it is the useful quantity to consider. In particular, a renormalized entropy can be defined as the entropy relative to the ground state. We make these remarks quantitative and precise in a simple model situation: the states of a conformal quantum field theory excited by a moving mirror. From this work, we attempt to draw some lessons concerning the “information problem ” in black hole physics. 2
The Fluctuation Theorem
 Adv. Phys
, 2002
"... The question of how reversible microscopic equations of motion can lead to irreversible macroscopic behaviour has been one of the central issues in statistical mechanics for more than a century. The basic issues were known to Gibbs. ..."
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Cited by 38 (1 self)
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The question of how reversible microscopic equations of motion can lead to irreversible macroscopic behaviour has been one of the central issues in statistical mechanics for more than a century. The basic issues were known to Gibbs.
Science of Chaos or Chaos in Science?
, 1996
"... I try to clarify several confusions in the popular literature concerning chaos, determinism, the arrow of time, entropy and the role of probability in physics. Classical ideas going back to Laplace and Boltzmann are explained and defended while some recent views on irreversibility, due to Prigogine, ..."
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Cited by 15 (0 self)
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I try to clarify several confusions in the popular literature concerning chaos, determinism, the arrow of time, entropy and the role of probability in physics. Classical ideas going back to Laplace and Boltzmann are explained and defended while some recent views on irreversibility, due to Prigogine, are criticized.
On causally asymmetric versions of Occam’s Razor and their relation to thermodynamics
, 2007
"... and their relation to thermodynamics ..."
Geometric Algebra in Quantum Information Processing
 CONTEMPORARY MATHEMATICS
, 2002
"... This paper develops a geometric model for coupled twostate quantum systems (qubits) using geometric (aka Clifford) algebra. It begins by showing how Euclidean spinors can be interpreted as entities in the geometric algebra of a Euclidean vector space. This algebra is then lifted to Minkowski spac ..."
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Cited by 7 (3 self)
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This paper develops a geometric model for coupled twostate quantum systems (qubits) using geometric (aka Clifford) algebra. It begins by showing how Euclidean spinors can be interpreted as entities in the geometric algebra of a Euclidean vector space. This algebra is then lifted to Minkowski spacetime and its associated geometric algebra, and the insights this provides into how density operators and entanglement behave under Lorentz transformations are discussed. The direct sum of multiple copies of spacetime induces a tensor product structure on the associated algebra, in which a suitable quotient is isomorphic to the matrix algebra conventionally used in multiqubit quantum mechanics. Finally, the utility of geometric algebra in understanding both unitary and nonunitary quantum operations is demonstrated on several examples of interest in quantum information processing.
From Entropy to Ontology
 CYBERNETICS AND SYSTEMS 2004  AT2AI4: FROM AGENT THEORY TO AGENT IMPLEMENTATION
, 2004
"... The theoretical foundations for a definition of distance on ontologies are laid out in this paper. The distance measure is defined using the well known concepts of entropy and mutual information from information theory. These formal ..."
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Cited by 6 (4 self)
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The theoretical foundations for a definition of distance on ontologies are laid out in this paper. The distance measure is defined using the well known concepts of entropy and mutual information from information theory. These formal