46700

Автор(ы): 

Автор(ов): 

2

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Optimal Nonlinear Filtering of Quantum State

ISBN/ISSN: 

0018-9448

DOI: 

10.1109/TIT.2018.2817633

Наименование источника: 

  • IEEE Transactions on Information Theory

Обозначение и номер тома: 

64(7)

Город: 

  • Piscataway, USA

Издательство: 

  • IEEE Information Theory Society

Год издания: 

2018

Страницы: 

4784 - 4791
Аннотация
The aim of this work is to give an interpretation of the linear or nonlinear filtration problem as a quantization problem. Based on this, we extend the optimal filtering equation known from the Stratonovich filtering theory on the quantum process case. In contrast to the Kalman filter often used in such problems, the Stratonovich equation provides the optimal solution for nonlinear observation models. The observation model is based on an indirect measurement method, where the measurement is performed on an ancilla system that is interacted with an unknown one. The latter model is interpreted in case of a single - qudit system. Since the measured random variables and experiment are fundamentally different fromeach other, the obtained single - qudit observation model has a substantially different physical nature from the two-qubit one. However, in both problems, the Stratonovich optimal filter equation is equally applicable.

Библиографическая ссылка: 

Маркович Л.А., Манько В.И. Optimal Nonlinear Filtering of Quantum State // IEEE Transactions on Information Theory. 2018. 64(7). С. 4784 - 4791.