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Impossibility of the photon-number transformation from $\left|330\right\rangle$ to $\left|114\right\rangle$
Impossibility conjecture. The deterministic transformation from $\left|330\right\rangle$ to $\left|114\right\rangle$ by a quantum linear-optical system is impossible.
Conjectureopenphoton-number-states quantum-information quantum-linear-opticsarXiv posted 2 days ago

Impossibility of the photon-number transformation from ∣330⟩\left|330\right\rangle∣330⟩ to ∣114⟩\left|114\right\rangle∣114⟩