Hyperentanglement of two photons in three degrees of freedom

Abstract

A 6-qubit hyperentangled state has been realized by entangling two photons in three degrees of freedom. These correspond to the polarization, the longitudinal momentum and the indistinguishable emission produced by a 2-crystal system operating with Type I phase matching in the spontaneous parametric down conversion regime. The state has been characterized by a chained interferometric apparatus and its complete entangled nature has been tested by a novel witness criterium specifically introduced for hyperentangled states. The experiment represents the first realization of a genuine hyperentangled state with the maximum entanglement between the two particles allowed in the given Hilbert space.

4 pages, 2 figures, Revtex4

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• Experimental Entanglement and Nonlocality of a Two-Photon Six-Qubit Cluster State
• Hyperentanglement purification for two-photon six-qubit quantum systems
• Error-detected generation and complete analysis of hyperentangled Bell states for photons assisted by quantum-dot spins in double-sided optical microcavities
• Measurement-device-independent quantum key distribution of multiple degrees of freedom of a single photon
• Entanglement Witnesses for Indistinguishable Particles
• Experimental space-division multiplexed polarization-entanglement distribution through 12 paths of a multicore fiber
• Experimental Realization of the Deutsch-Jozsa Algorithm with a Six-Qubit Cluster State
• Information processing at the speed of light
• Energy-time and time-bin entanglement: past, present and future
• Remote preparation for single-photon state in two degrees of freedom with hyper-entangled states
• Deterministic and complete hyperentangled Bell states analysis assisted by frequency and time interval degrees of freedom
• Optimal verification of entanglement in a photonic cluster state experiment
• Complete hyperentangled Bell states analysis for polarization-spatial-time-bin degrees of freedom with unity fidelity
• Generation of hyperentangled photon pairs in the time and frequency domain on a silicon photonic chip
• Quantitative entanglement witnesses of Isotropic- and Werner-class via local measurements
• Complete analysis of hyperentangled Bell state in three degrees of freedom using Kerr effect and self-assisted mechanism