Fig. 2. Quantitative complementarity relation of wave-particle duality. (IMAGE)
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(A) Quantitative complementarity relation P2 + V2 = μs2 with respect with respect to γ = ∣α2∣ / ∣α1∣ and ∣α∣ = ∣α2∣. Here, path predictability P represents particle-like behavior, while fringe visibility V represents wave-like behavior of the quanton in the double-path interferometer. The totality of complementarity is bounded by the source purity. (B) Source purity μs of the quanton (signal photon) and entanglement E between the quanton and which-path (which-source) detector form another complementarity relation μs2 + E2 = 1. These two measures are plotted with respect to γ = ∣α2∣ / ∣α1∣ and ∣α∣ = ∣α2∣.
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