Quantification and observation of genuine three-party coherence: A solution based on classical optics

Abstract

We introduce a quantification of genuine three-party pure-state coherence for wave fields, classical and quantum, by borrowing concepts from classical optics. The tensor structure of a classical paraxial light beam composed of three principle degrees of freedom is shown to be equivalent to that of a three-qubit quantum state. The traditional basis-independent optical coherence quantity called degree of polarization is then determined to be the desired quantitative two-party coherence measure. When appropriately generalized, a set of fundamental constraint relations is derived among three two-party coherences. The constraint relations can be geometrically interpreted and visualized as tetrahedra nested within a coherence cube. A measure of three-party coherence is defined based on the constraints. We are reporting completed experimental tests and confirmations of the constraints as well as measurement of three-party coherence in the optical context. Our approach based on classical optics also opens an alternative way to analyze quantum coherence.

arXiv comment9 pages, 3 figures, 1 table

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Cited by in corpus (6)

• Nonseparable states of light: From quantum to classical
• A Triangle Governs Genuine Tripartite Entanglement
• Entanglement polygon inequality in qudit systems
• Managing the Three-Party Entanglement Challenge
• Entanglement and entropy in multipartite systems: a useful approach
• Wave-particle duality of unpolarized photons