Probing light polarization with the quantum Chernoff bound

Abstract

We recall the framework of a consistent quantum description of polarization of light. Accordingly, the degree of polarization of a two-mode state $\hat{\rho }$ of the quantum radiation field can be defined as a distance of a related state ${\hat{\rho }}_b$ to the convex set of all SU(2) invariant two-mode states. We explore a distance-type polarization measure in terms of the quantum Chernoff bound and derive its explicit expression. A comparison between the Chernoff and Bures degrees of polarization leads to interesting conclusions for some particular states chosen as illustrative examples.

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• Direct method for measuring of purity, superfidelity, and subfidelity of photonic two-qubit mixed states
• A geometric measure of non-classicality
• Experimental determination of the degree of quantum polarisation of continuous variable states
• Measuring distances in Hilbert space by many-particle interference
• Quantum Polarimetry
• Reconciling quantum trajectories and stationary quantum distributions in single-photon polarization states
• Modification of polarization through de-Gaussification
• Quantum Chernoff bound as a measure of efficiency of quantum cloning for mixed states
• Monotone Riemannian metrics and dynamic structure factor in condensed matter physics