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Шашки Фейнмана с поглощением
Сибирские электронные математические известия. 2023. Т. 20. № 2. С. 626–637.
Дмитриев М. Д.
We give a new elementary proof of the theorem by Ambainis
et al. that for a quantum walk, the probability amplitudes of absorption
at the initial point after 4n steps are proportional to the Catalan numbers.
We also calculate the absorption probabilities at points close to the initial
one and prove a relation that connects the probability amplitudes along
the diagonal.
Keywords: Catalan numbersчисла КаталанаQuantum walksFeynman checkersReflection methodквантовые блужданияшашки Фейнманаметод отражений
Publication based on the results of:
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