Optimal probabilistic measurement of phase

Abstract

When measuring phase of quantum states of light, the optimal single-shot measurement implements projection on the un-physical phase states. If we want to improve the precision further we need to accept a reduced probability of success, either by implementing a probabilistic measurement or by probabilistically manipulating the measured quantum state by means of noiseless amplification. We analyze the limits of this approach by finding the optimal probabilistic measurement which, for a given rate of success, maximizes the precision with which the phase can be measured.

5 pages, 3 figures

References in corpus (1)

• Quantum-enhanced optical phase tracking

Cited by in corpus (5)

• Quantum limits on post-selected, probabilistic quantum metrology
• Probabilistic metrology or how some measurement outcomes render ultra-precise estimates
• Probabilistic Metrology Attains Macroscopic Cloning of Quantum Clocks
• Probabilistic metrology defeats ultimate deterministic bound
• Characterizing non-deterministic noiseless linear amplifiers at the quantum limit