Approximate calculation of cumulative probability from a moment-generating function

Numerical method for calculating cumulative distribution of positive random variabl

The modal decomposition of aperture fields in detection and estimation of incoherent objects

Modal aperture field decomposition for optical detection and radiance estimation on incoherent object

Quantum-limited detection of an incoherent object with a Lorentz spectrum

Quantum limited detection of incoherent object with Lorentz spectru

Photoelectric detection of coherent light in filtered background light

Photoelectric detection of coherent light in filtered background ligh

Estimation of Object Parameters by a Quantum-limited Optical System

Quantum limited optical system for estimating parameters of incoherently radiating objec

Information transfer from incoherently radiating objects

Information transfer from incoherently radiating object

The application of signal detection theory to optics Quarterly progress report

Estimation of object parameters by quantum-limited optical syste

The application of signal detection theory to optics

Application of signal detection theory to optic

Resolvability of objects from the standpoint of statistical parameter estimation

Radiance estimation and object resolvability by statistical parameter analysis of aperture fiel

Quantum non-demolition measurement saturates fidelity trade-off

A general quantum measurement on an unknown quantum state enables us to estimate what the state originally was. Simultaneously, the measurement has a destructive effect on a measured quantum state which is reflected by the decrease of the output fidelity. We show for any $d$-level system that quantum non-demolition (QND) measurement controlled by a suitably prepared ancilla is a measurement in which the decrease of the output fidelity is minimal. The ratio between the estimation fidelity and the output fidelity can be continuously controlled by the preparation of the ancilla. Different measurement strategies on the ancilla are also discussed. Finally, we propose a feasible scheme of such a measurement for atomic and optical 2-level systems based on basic controlled-NOT gate.Comment: 5 pages, 2 figure