Here, we quantify the advantages of using multiple parameters for each layer of QAOA. First, we prove that the approximation ratio converges to one as the number of iterations of ma-QAOA tends to infinity, a property that ensures the optimal solution is the most likely. We next demonstrate t...
Even when each atom of a 2n‐center cluster or molecule only brings one active electron in one atomic orbital, the size of the Heisenberg Hamiltonian matrix increases asC2nn. Simple truncations of this matrix would result in size consistence defects, as evident from the isomorphism between ...
An approximate method is proposed for calculation of mu -mesic atom energy levels from radial Dirac equations with a potential which simultaneously account... Zhirnov,N.I - 《Zhur.eksptl I Teoret.fiz》 被引量: 0发表: 1960年 Finite Proton Size Contribution in the Energy Levels of Pionic Hydr...
This constraint can be physically motivated when modeling an antibody loop for instance. Illustrations are given in Fig. 2. Fig. 2: Walks on a square lattice. a Self crossing walk. b Self-avoiding walk. c Self-avoiding loop. Full size image...
After a historical survey of the problem of the potential barrier, and an examination of the types of approximations, introduced and the reason for them, certain fallacious processes are discussed whereby the complex gamma function is given false approximate representations by means of exponential funct...
Kinoshita M,Sugai Y.Methodology of predicting approximate shapes and size distribution of micelles: Illustration for simple models. Journal of Computational Chemistry . 2002Kinoshita, M., and Y. Sugai. 2002. Methodology of predicting approx- imate shapes and size distribution of micelles: illustration...
The energy of oxygen, CH 2 and CH 3 fragments depend on the molecular size. The effect of the basis set size error on this quantity has been investigated, concluding that the molecular-size dependence is not an artifact due to it. The destabilization experienced by the oxygen atom for a ...
for all orders of correlations; we call this phenomenon Markovianization. Formally, we show that when a quantum process has dynamics given by an approximate unitary design, a large deviation bound on the size of non-Markovian memory is implied. We exemplify our result employing an efficient ...
BAE parameters were developed for the most important atom types in biopolymers, based on a parameterization set of 18 compounds of different size (33鈥 4346 atoms) and class (organics, proteins, DNA, and various complexes), consisting of a total of 23,186 atoms.1999 John Wiley & Sons, Inc...
physicssolid state physicsabsorptionalkali metalsanionscolorcrystalsdefectseinstein oscillator modelfrequencyAsymptotic solutions for the frequency of the localized mode of an isotopic defect in a cubic lattice are examined, and interpreted in terms of the Einstein oscillator frequency of the impurity atom. ...