SU(1,2) Interferometer
Yadong Wu, Chun-Hua Yuan
TL;DR
This paper theoretically analyzes an SU(1,2) interferometer composed of four-wave-mixers, demonstrating its phase sensitivity reaches the Heisenberg limit and surpasses SU(1,1) interferometers due to higher internal light intensity.
Contribution
It introduces the SU(1,2) interferometer model, analyzes its phase sensitivity, and compares its performance with SU(1,1) interferometers, advancing quantum metrology understanding.
Findings
Achieves Heisenberg-limited phase sensitivity with vacuum inputs
Surpasses SU(1,1) interferometers in accuracy due to higher light intensity
Provides optimal detection strategies for different input states
Abstract
We theoretically investigate an interferometer composed of four four-wave-mixers by Lie group method. Lie group SU(1,2) characterizes the mode transformations of this kind of interferometer. With vacuum state inputs, the phase sensitivity of SU(1,2) interferometer achieves the Heisenberg limit, and the absolute accuracy beats SU(1,1) interferometer because of higher intensity of light inside the interferometer. For different input cases, the optimal combination of output photon number for detection to obtain the best phase sensitivity is calculated. Our research on SU(1,2) interferometer sheds light on the performance of SU(1,n) interferometer in quantum metrology.
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Taxonomy
TopicsQuantum Information and Cryptography · Mechanical and Optical Resonators · Photonic and Optical Devices