By Prem Kumar, G. Mauro D'Ariano, Osamu Hirota
In keeping with the Fourth foreign convention on Quantum verbal exchange, dimension and Computing, this quantity brings jointly scientists operating within the interdisciplinary fields of quantum communique technology and know-how. unlike the former meetings during this sequence, which have been generally theoretical, QCH '98 dedicated extra awareness to the experimental elements. issues contain quantum info concept, quantum computing, quantum verbal exchange structures, cryptography, new quantum results and their experiments, new release and detection of nonclassical gentle, quantum noise, stochastic tactics and filtering, and quantum size idea.
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Extra resources for Quantum communication, computing, and measurement 2
The dynamics can be formulated as 1. (Diﬀusion) ∂u(r, t)/∂t = Du ∇2 u(r, t), ∂v(r, t)/∂t = Dv ∇2 v(r, t), 2. (Reaction) u(r, δt(n + 1)) = v(r, δt(n + 1)) = f u(r, δt · n) − v(r, δt · n) − c , f (x) = 1 + exp(−βx) −1 , where n represents the time step, r = (x, y), c is the oﬀset value of the sigmoid function, and β is the slope of the function. We deﬁned this sequential operation as “one cycle”. In the following, we show that the system produces spatiotemporal patterns by repeating this cycle. Teuscher C.
Snapshots of stripe-pattern formation observed with our proposed model. 20 c Fig. 5. Pattern diagram for proposed RD model. the initial cycle. After a few iterations, a stable square wave appeared. 5x0 ). Furthermore, by changing the values of Dv , we numerically conﬁrmed that the equilibrium wave frequency is inversely proportional to the square root of Dv . Figure 4 is an example of striped pattern formation on a 2D model (Dv /Du = β = 10, c = 0, δt = 1). The values of f u(r, δt·n)−v(r, δt·n)− c are represented on a grayscale (f (·) = 0: black, f (·) = 1: white).
We produced a model pattern diagram on a 2D parameter space through extensive numerical simulations. We showed that the spatial frequency and form (striped or spotted) could be controlled with only two parameters. We then designed a basic circuit for the proposed model. We designed an RD LSI based on the analog computing method where the concentration of chemicals was represented by a 2D voltage distribution and the cell voltage was diﬀused step by step. By mimicking two diﬀusion ﬁelds with the proposed model in one diﬀusion circuit on the LSI, we reduced the area of the unit cell circuit.
Quantum communication, computing, and measurement 2 by Prem Kumar, G. Mauro D'Ariano, Osamu Hirota