Sub-Shot-Noise Quantum Optical Interferometry: A Comparison of Entangled State Performance within a Unified Measurement Scheme

Abstract

Phase measurement using a lossless Mach-Zehnder interferometer with certain entangled $N$-photon states can lead to a phase sensitivity of the order of 1/N, the Heisenberg limit. However, previously considered output measurement schemes are different for different input states to achieve this limit. We show that it is possible to achieve this limit just by the parity measurement for all the commonly proposed entangled states. Based on the parity measurement scheme, the reductions of the phase sensitivity in the presence of photon loss are examined for the various input states.

5 pages, 2 figures

References in corpus (5)

• Beating the Standard Quantum Limit with Four Entangled Photons
• Entanglement-free Heisenberg-limited phase estimation
• Loss-Induced Limits to Phase Measurement Precision with Maximally Entangled States
• Local and Global Distinguishability in Quantum Interferometry
• Experimental demonstration of phase measurement precision beating standard quantum limit by projection measurement