Секция „МАТЕМАТИЧЕСКИ ОСНОВИ НА ИНФОРМАТИКАТА“
организира семинар по проект
„Стратегии за подобряване на качеството на моделите, намерени от алгоритми за машинно обучение с приложение към квантовата томография“.
Доклад ще изнесат:
Виолета Иванова-Ролинг и Никлас Ролинг
Quantum state tomography as a numerical optimization problem
Абстракт: We present a framework that formulates the quest for the most efficient quantum state tomography scheme as an optimization problem which can be solved numerically. This approach can be applied to a broad spectrum of relevant setups including measurements restricted to a subsystem. To illustrate the power of this method we present results for the six-dimensional Hilbert space constituted by a qubit-qutrit system, which could be realized e.g. by the N-14 nuclear spin-1 and two electronic spin states of a nitrogen-vacancy center in diamond. Measurements of the qubit subsystem are expressed by projectors of rank three, i.e., projectors on half-dimensional subspaces. For systems consisting only of qubits, it was shown analytically that a set of projectors on half-dimensional subspaces can be arranged in an informationally optimal fashion for quantum state tomography, thus forming so-called mutually unbiased subspaces. Our method goes beyond qubits-only systems and we find that in dimension six such a set of mutually-unbiased subspaces can be approximated with a deviation irrelevant for practical applications.
Семинарът ще се проведе на 30 март (вторник) 2021 г. от 18:00 часа онлайн чрез Zoom.
Meeting ID: 895 3759 3729