If real quantum theory led to the same predictions as complex quantum theory, then complex numbers would just be, as in classical physics, a convenient tool to simplify computations but not an essential part of the theory. However, we show that this is not the case: the measurement statistics...
During the last few years a theory of computation over the real numbers developed with the aim of laying theoretical foundations for the kind of computations performed in numerical analysis under complete information. In this paper we describe the notions playing major roles in this theory—with spe...
We compute the entanglement entropy numerically for the discretized Hamiltonian presented in Eq. (5). The computations are done using Matlab for the lattice sizeN = 600,\(10\le n\le 590\)and the error in computation is 10−8. More specifically, we choose the following cases for the...
Information must be obtained in great part from computations considering fully laminar interactions. Thus, in ramp-type flow it was found, under the assumption of chemical equilibrium, that in dissociated air a smaller separated region forms because of weaker shock waves. Moreover, the heat ...
(r1andthe associatedrelaxationtime inthecas eofastablelockedphas eresultingfromthecross-correlation between therealandimaginarypartsofquantumnoisearederivedbymeansofprojectionoperatormethod.Basedon numericalcomputationsitisfomadthatthepresenceofcross-correlations betwenthereMan dimaginaryparts ofquantum noisecauses拍e...
By default, computations use a single CPU core. To override this behavior, use the threads argument. Set it to 0 to use all available CPU cores. Here is an example of dealing with large sets of binary vectors: ndim = 1536 # OpenAI Ada embeddings matrix1 = np.packbits(np.random.randint...
A team in China claims to have made the first definitive demonstration of ‘quantum advantage’ — exploiting the counter-intuitive workings of quantum mechanics to perform computations that would be prohibitively slow on classical computers... Quantum...
The computations explain the observation of a ''reflection-like'' structure in the spectrum. This structure, which is not explainable by the usual CW Kramers Heisenberg expression, is due to the dominance of resonance fluorescence in these nanosecond pulsed experiments. 展开 ...
The PDA was performed with the quantum Monte Carlo code Amolqc49. The spin is treated without approximation by arbitrary assignment of spin quantum numbersms = ±1/2 to electron indices, constrained bythe total quantum numberMS. Evaluation of the spin functions (withα(ms) = 1/2...
multi-purpose ML models. In this way, we have shown how ML can be used for the prediction of atomic or group quantities with great success, contributing to the extension of the physical rigor of quantum chemistry to previously prohibitive computationally intensive realms such as molecular dynamics...