Nonlinear phase estimation: Parity measurement approaches the quantum Cramér-Rao bound for coherent states
نویسندگان
چکیده
منابع مشابه
Cramér-Rao bound for range estimation
In this paper, we derive the Cramér-Rao bound (CRB) for range estimation, which does not only exploit the range information in the time delay, but also in the amplitude of the received signal. This new bound is lower than the conventional CRB that only makes use of the range information in the time delay. We investigate the new bound in an additive white Gaussian noise (AWGN) channel with atten...
متن کاملThe Cramér-Rao bound for estimation-after-selection
In many practical parameter estimation problems, a model selection is made prior to estimation. In this paper, we consider the problem of estimating an unknown parameter of a selected population, where the population is chosen from a population set by using a predetermined selection rule. Since the selection step may have an important impact on subsequent estimation, ignoring it could lead to b...
متن کاملOn the Cramér-Rao bound for polynomial phase signals
Polynomial-phase signals have applications including radar, sonar, geophysics, and radio communication. Of practical importance is the estimation of the parameters of a polynomial phase signal from a sequence of noisy observations. We derive closed form formulae for the Cramér-Rao lower bounds of these parameters under the assumption that the noise is additive white and Gaussian. This is achiev...
متن کاملCramér-Rao-Leibniz Lower Bound - A new estimation bound for finite support measurement noise
In this paper we introduce a new bound on an estimator’s error, derived from the classical Cramér-Rao Lower Bound (CRLB), for cases where the support of the likelihood function (LF) exhibits parameter-dependence. Parameterdependent support of the LF arises here when an unknown parameter is observed in the presence of additive measurement noise and the measurement noise pdf has a finite support....
متن کاملA constrained hybrid Cramér-Rao bound for parameter estimation
In statistical signal processing, hybrid parameter estimation refers to the case where the parameters vector to estimate contains both non-random and random parameters. Numerous works have shown the versatility of deterministic constrained Cramér-Rao bound for estimation performance analysis and design of a system of measurement. However in many systems both random and non-random parameters may...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review A
سال: 2019
ISSN: 2469-9926,2469-9934
DOI: 10.1103/physreva.99.022106