Quantum Entanglement and the Two-Photon Stokes Parameters

Abstract

A formalism for two-photon Stokes parameters is introduced to describe the polarization entanglement of photon pairs. This leads to the definition of a degree of two-photon polarization, which describes the extent to which the two photons act as a pair and not as two independent photons. This pair-wise polarization is complementary to the degree of polarization of the individual photons. The approach provided here has a number of advantages over the density matrix formalism: it allows the one- and two-photon features of the state to be separated and offers a visualization of the mixedness of the state of polarization.

15 pages, 2 figures, accepted for publication in Opt. Comm

References in corpus (3)

• Experimental quantum teleportation
• Demonstration of the Complementarity of One- and Two-Photon Interference
• Degree of entanglement for two qubits

Cited by in corpus (20)

• Classical entanglement in polarization metrology
• Classical entanglement: Oxymoron or resource?
• Entangled Bloch Spheres: Bloch Matrix and Two Qubit State Space
• Basis independent tomography of complex vectorial light fields by Stokes projections
• Parametrizations of density matrices
• Quantum correlations in separable multi-mode states and in classically entangled light
• A multi-photon Stokes-parameter invariant for entangled states
• The Extended Bloch Representation of Quantum Mechanics. Explaining Superposition, Interference and Entanglement
• Demonstration of an optical-coherence converter
• Intrinsic Entanglement Degradation by Multi-Mode Detection
• Scheme to Measure Quantum Stokes Parameters and their Fluctuations and Correlations
• Phase estimation of time-bin qudits by time-resolved single-photon counting
• Jordan-Schwinger map, 3D harmonic oscillator constants of motion, and classical and quantum parameters characterizing electromagnetic wave polarization
• $SU(1,1)$ Approach to Stokes Parameters and the Theory of Light Polarization
• Production of entangled x rays through nonlinear double Compton scattering
• Influence of polarization and the environment on wave-particle duality
• Direct Measurement of Higher-Order Nonlinear Polarization Squeezing
• Robust polarimetry via convex optimization
• QEDtool: A Python package for numerical quantum information in quantum electrodynamics
• Quantifying Quantum Correlations in Annihilation Photon Pairs under Compton Scattering