Quantum Computing and Quantum Topology
... If a physical system were to have quantum topological (necessarily nonlocal) degrees of freedom, which were insensitive to local probes, then information contained in them would be automatically protected against errors caused by local interactions with the ...
... If a physical system were to have quantum topological (necessarily nonlocal) degrees of freedom, which were insensitive to local probes, then information contained in them would be automatically protected against errors caused by local interactions with the ...
The computation of an unstable invariant set inside a cylinder
... with a continuous weight function d : C × C → R where d−1 (∞) = {(c, c) | c ∈ C}. The first term in the denominator simply normalizes the weight function, whereas the second leads to the desired values on the mantle M of the cylinder. Observe that the use of the stereographic projection in the defin ...
... with a continuous weight function d : C × C → R where d−1 (∞) = {(c, c) | c ∈ C}. The first term in the denominator simply normalizes the weight function, whereas the second leads to the desired values on the mantle M of the cylinder. Observe that the use of the stereographic projection in the defin ...
Logic, Geometry And Probability Theory - Philsci
... the more general factors, type II1 algebras are non-atomic and the type III contain no non-trivial finite projections. In this way, it could be said that the generalization of algebras studied by von Neumann points in the direction of a rather radical generalization of geometry. Using the words of v ...
... the more general factors, type II1 algebras are non-atomic and the type III contain no non-trivial finite projections. In this way, it could be said that the generalization of algebras studied by von Neumann points in the direction of a rather radical generalization of geometry. Using the words of v ...
Macroscopicity of Mechanical Quantum Superposition States
... One observes a common feature of all quantum curves in Fig. 1: they saturate or assume a local maximum. This is because the classicalizing modification (4) is bounded in the operator norm, and any given position or momentum superposition state of a total mass M thus survives at least for a time e ð ...
... One observes a common feature of all quantum curves in Fig. 1: they saturate or assume a local maximum. This is because the classicalizing modification (4) is bounded in the operator norm, and any given position or momentum superposition state of a total mass M thus survives at least for a time e ð ...
The return of pilot waves - Theory of Condensed Matter (Cambridge)
... one. De Broglie and Bohm (‘pilot wave theory’) worked along these lines - as we shall see.. Recall that 100+ years ago, an important step took place (Boltzmann, Maxwell, Gibbs, Einstein) when classical thermodynamics was derived from microscopic physics, from the behaviour of the constituents of the ...
... one. De Broglie and Bohm (‘pilot wave theory’) worked along these lines - as we shall see.. Recall that 100+ years ago, an important step took place (Boltzmann, Maxwell, Gibbs, Einstein) when classical thermodynamics was derived from microscopic physics, from the behaviour of the constituents of the ...
Lecture 2
... the observables are represented by operators. Wave functions satisfy requirements for vectors and operators act on the wave functions as linear transformations. Therefore, it is natural to use language of linear algebra. Only normalizable wave functions represent physical states. The set of all squa ...
... the observables are represented by operators. Wave functions satisfy requirements for vectors and operators act on the wave functions as linear transformations. Therefore, it is natural to use language of linear algebra. Only normalizable wave functions represent physical states. The set of all squa ...
Lecture 4: methods and terminology, part II
... integrals are the most expensive part of the Hartree-Fock theory calculations, and the semi-empirical methods attempt to replace them with empirical parameters. Approximations Core electrons are not considered or approximated by effective core potentials. Minimal basis set (one function per orbital) ...
... integrals are the most expensive part of the Hartree-Fock theory calculations, and the semi-empirical methods attempt to replace them with empirical parameters. Approximations Core electrons are not considered or approximated by effective core potentials. Minimal basis set (one function per orbital) ...
