I loved the idea, for three reasons. First, we could place the quantum refrigerator beside the quantum computer. The dilution refrigerator would already be cold, for the quantum computations’ sake. Therefore, w
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...
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...
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...
As the basic information unit of quantum computing, the quantum bit (qubit) allows computations that would be extremely difficult, if not virtually impossible, to perform on conventional computers [57–60]. The capacity of quantum systems to exploit unique features such as the superposition of ...
evolutionary algorithms proposed as an alternative to established Reinforcement Learning algorithms (like Q-learning and Policy Gradients) or as an efficient mechanism for training deep neural networks (neuroevolution). Evolutionary algorithms are also amenable to embarrassingly parallel computations on ...
scalar potential of the drift velocityu, which appears in the diffusion Monte Carlo method38as well as in stochastic quantum mechanics39. {{\Phi }}=-\frac{\hslash }{2{m}_{e}}{{{\mathrm{ln}}}\,| {{\Psi }}{| }^{2},\qquad {{{\bf{u}}}=-\nabla {{\Phi }}=\frac{\hslas...
Moreover, the attribution of chemical structures and/or geometries cannot always be done in analogy with gas-phase molecular structures or stoechiometries when unknown compounds are formed. Toward this aim, quantum-chemistry based computations have proven an invaluable help in the understanding of XPS...
by computations similar to those employed to show (2.5) and (2.6), it turns out that, choosing T_0\in (0,T] suitably small, \begin{aligned} \Vert \mathcal {T}_1u(t)\Vert _{\mathcal {H}_{z,\zeta }} + \Vert \mathcal {T}_2u(t)\Vert _{\mathcal {H}_{z,\zeta }}\le...
On the other hand, continuous compounding is very useful for modeling growth because it simplifies many computations. If the continuously compounded rate of growth of X is 3 percent and the continuously compounded rate of growth of Y is 2 percent, then the continuously compounded rate of growth ...