Precision-guaranteed quantum metrology

True precision limits in quantum metrology

Quantum mechanics provides insight into fundamental limits on the achievable measurement precision that cannot be beaten irrespectively of the extent of any improvements in measurement technology. The best known example is that of the optical phase measurement where difference of phase delays φ in the arms of interferometer in the absence of decoherence can only be measured up to a precision kn...

Precision bounds for noisy nonlinear quantum metrology

Precision Interferometric Metrology

In this paper, we propose the use of sinusoidalfrequency modulation on a laser diode (LD) toachieve both frequency stabilization of the LDand a displacement measurement with ahomodyne interferometer. The central frequencyof the LD is stabilized to a Doppler broadened(linear) absorption or a Doppler free (saturated)absorption line of iodine (I2) molecule near thew...

Risk Clearance with Guaranteed Precision

In real life applications, we often face the following risk clearance problem: given a set of instances with a known numeric outcome Y (e.g., a toxicity level), we want to learn a model to identify new instances that have a low risk, i.e., the probability of the Y value exceeding a certain maximum MAX is less than some threshold t. This problem guarantees that the cleared instances have the min...

Advances in Quantum Metrology

In classical estimation theory, the central limit theorem implies that the statistical error in a measurement outcome can be reduced by an amount proportional to n by repeating the measures n times and then averaging. Using quantum effects, such as entanglement, it is often possible to do better, decreasing the error by an amount proportional to n. Quantum metrology is the study of those quantu...