In this work, the operator-sum representation of a quantum process is extended to the probability representation of quantum mechanics. It is shown that each process admitting the operator-sum representation is assigned a kernel, convolving of which with the initial tomogram set characterizing the system state gives the tomographic state of the transformed system. This kernel, in turn, is broken into the kernels of partial operations, each of them incorporating the symbol of the evolution operator related to the joint evolution of the system and an ancillary environment. Such a kernel decomposition for the projection to a certain basis state and a Gaussian-type projection is demonstrated as well as qubit flipping and amplitude damping processes.
Рассмотрено влияние изгибного
двулучепреломления, возникающего
при намотке spun-волокна волоконно-оптического
датчика тока на основе эффекта
Фарадея, на эффективность подавления
избыточного шума. Показано, что при малом
радиусе намотки в волокне возникают
вторичные волны, искажающие в конечном
итоге спектр излучения на выходе датчика,
что и обуславливает снижение эффективности
подавления шума. Представленная
теоретическая модель данного
эффекта подтверждена экспериментом,
в котором радиус намотки spun-волокна
составляет 5 мм.
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