Modeling and Control of Quantum Systems: An Introduction
... (from an experimental setting to another) as possible. This of course comes with a cost: in order to move to applications, one has to carefully verify the applicability of the results, and most likely adapt them to the peculiarities of his/her own setting. The models we discuss are always continuous ...
... (from an experimental setting to another) as possible. This of course comes with a cost: in order to move to applications, one has to carefully verify the applicability of the results, and most likely adapt them to the peculiarities of his/her own setting. The models we discuss are always continuous ...
The de Broglie-Bohm pilot-wave interpretation
... Bohm: First you have to ask what we mean by order. Everybody has some tacit notion of it, but order itself is impossible to define. Yet it can be illustrated. In a photograph any part of an object is imaged into a point. This point-to-point correspondence emphasizes the notion of point as fundamenta ...
... Bohm: First you have to ask what we mean by order. Everybody has some tacit notion of it, but order itself is impossible to define. Yet it can be illustrated. In a photograph any part of an object is imaged into a point. This point-to-point correspondence emphasizes the notion of point as fundamenta ...
Mixed quantum–classical dynamics
... Schrodinger equation with systematic approximations analogous to those of the Ehrenfest method. Surface-hopping has the advantage that a given trajectory can bifurcate properly into di†erent branches, each subject to a particular quantum state and weighted by the amplitude of the state ; i.e., clas ...
... Schrodinger equation with systematic approximations analogous to those of the Ehrenfest method. Surface-hopping has the advantage that a given trajectory can bifurcate properly into di†erent branches, each subject to a particular quantum state and weighted by the amplitude of the state ; i.e., clas ...
Quantum Proofs for Classical Theorems
... is to go to complex numbers: using the identity eix = cos x + i sin x we have ei(x+y) = eix eiy = (cos x + i sin x)(cos y + i sin y) = cos x cos y − sin x sin y + i(cos x sin y + sin x cos y) . Taking the real parts of the two sides gives our identity. Another example is the probabilistic method, as ...
... is to go to complex numbers: using the identity eix = cos x + i sin x we have ei(x+y) = eix eiy = (cos x + i sin x)(cos y + i sin y) = cos x cos y − sin x sin y + i(cos x sin y + sin x cos y) . Taking the real parts of the two sides gives our identity. Another example is the probabilistic method, as ...
Exact quantum query complexity
... total functions Er... In fact, to my knowledge there are no other (non-trivial) exact quantum query algorithms for total functions known! However, some authors have used the algorithm for parity as a subroutine, e.g. [Hayes et al ’02] use it to compute the majority function using n − O(log n) querie ...
... total functions Er... In fact, to my knowledge there are no other (non-trivial) exact quantum query algorithms for total functions known! However, some authors have used the algorithm for parity as a subroutine, e.g. [Hayes et al ’02] use it to compute the majority function using n − O(log n) querie ...
Existential Contextuality and the Models of Meyer, Kent and Clifton
... variables models in which values are only assigned to a restricted subset of the set of all observables. MKC claim that their models “nullify” the Kochen-Specker theorem [4, 5, 6, 7, 8]. In Appleby [9] we showed that this claim is unfounded: the MKC models do not, in any way, invalidate the essentia ...
... variables models in which values are only assigned to a restricted subset of the set of all observables. MKC claim that their models “nullify” the Kochen-Specker theorem [4, 5, 6, 7, 8]. In Appleby [9] we showed that this claim is unfounded: the MKC models do not, in any way, invalidate the essentia ...
