Density matrix approach to the Heisenberg-limited interferometry: an example

Aravind Chiruvelli; Hwang Lee

doi:10.1117/12.816041

2 February 2009 Density matrix approach to the Heisenberg-limited interferometry: an example

Aravind Chiruvelli, Hwang Lee

Proceedings Volume 7225, Advanced Optical Concepts in Quantum Computing, Memory, and Communication II; 72250T (2009) https://doi.org/10.1117/12.816041
Event: SPIE OPTO: Integrated Optoelectronic Devices, 2009, San Jose, California, United States

Abstract

It has been known for a while that, provided by the Heisenberg Uncertainty Principle, certain types of quantum correlated light should yield a better scaling law than the one with ordinary laser light. Hitherto, however, there is no such device practically used outside laboratories. The fact that quantum correlations are easy to be destroyed under decoherence essentially makes their utilities problematic for real world applications. For the optical interferometers, the most significant decoherence phenomenon is the photon loss. And yet, there has been no real-world device for quantum-enhanced sensing that overcomes the photon loss effects. In order to analyze the photon loss effects the description of the quantum states of light calls for a density matrix formalism, rather than the usual pure state approach. Here we take an example of the input states for the Heisenberg-limited interferometry, namely the optimal state, and show the description of the quantum state of light based on the reduced density matrix.

Citation Download Citation

Aravind Chiruvelli and Hwang Lee "Density matrix approach to the Heisenberg-limited interferometry: an example", Proc. SPIE 7225, Advanced Optical Concepts in Quantum Computing, Memory, and Communication II, 72250T (2 February 2009); https://doi.org/10.1117/12.816041

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KEYWORDS

Beam splitters

Interferometers

Interferometry

Phase measurement

Imaging systems

Laser interferometry

Phase shifts

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