Entanglement and interference between different degrees of freedom of photons states

Abstract

In this paper, photonic entanglement and interference are described and analyzed with the language of quantum information process. Correspondingly, a photon state involving several degrees of freedom is represented in a new expression based on the permutation symmetry of bosons. In this expression, each degree of freedom of a single photon is regarded as a qubit and operations on photons as qubit gates. The two-photon Hong-Ou-Mandel interference is well interpreted with it. Moreover, the analysis reveals the entanglement between different degrees of freedom in a four-photon state from parametric down conversion, even if there is no entanglement between them in the two-photon state. The entanglement will decrease the state purity and photon interference visibility in the experiments on a four-photon polarization state.

11 pages and 2 figures

References in corpus (2)

• Experimental quantum teleportation
• Experimental Measurement of Multi-dimensional Entanglement via Equivalent Symmetric Projection

Cited by in corpus (5)

• Indistinguishability of independent single photons
• Hong-Ou-Mandel Interference between Two Hyper-Entangled Photons Enables Observation of Symmetric and Anti-Symmetric Particle Exchange Phases
• Permutation asymmetry inducing entanglement between degrees of freedom in multiphoton states
• Bunching Effect and Quantum Statistics of Partially Indistinguishable Photons
• Indistinguishability-induced classical-to-nonclassical transition of photon statistics