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This is a theoretical quantum-optics study of whether a solid-state emitter in a waveguide can still produce the two-photon conditional phase that photonic quantum neural network designs rely on. Its main finding is that pure dephasing mainly suppresses the amplitude carrying that phase rather than rotating it, and it reweights photon-number sectors in a way that phase tuning cannot correct. For readers building photonic quantum hardware, this is a concrete noise budget: the common factorization shortcut for two-photon correlators breaks down even at first order in dephasing.
Pure dephasing destroys two-photon amplitude, not nonlinear phase
arXiv:2610.30098v1 Announce Type: new Abstract: A two-level emitter chirally coupled to a waveguide imprints a $\pi$ conditional phase on a two-photon pulse, a key component assumed in quantum photonic neural network architectures, but whether it survives the pure dephasing of a solid-state emitter is unknown, since no two-photon scattering treatment includes it. We derive the dephased two-photon amplitude in closed form and validate it against an independent Fock-state master equation. The conditional phase is pinned at exactly $\pi$ at every dephasing rate examined: dephasing destroys the amplitude carrying the nonlinear phase rather than rotating it. The one- and two-photon channels are not attenuated equally, so dephasing does not simply scale the node down but reweights it between photon-number sectors---an error no phase setting can train away. The standard factorization of two-photon correlators, exact for arbitrary loss, fails at first order in $\gamma_\phi$, discarding $16$--$81\%$ of pairs over $\gamma_\phi/\gamma=0.1$--$1$.
Abstract:A two-level emitter chirally coupled to a waveguide imprints a $\pi$ conditional phase on a two-photon pulse, a key component assumed in quantum photonic neural network architectures, but whether it survives the pure dephasing of a solid-state emitter is unknown, since no two-photon scattering treatment includes it. We derive the dephased two-photon amplitude in closed form and validate it against an independent Fock-state master equation. The conditional phase is pinned at exactly $\pi$ at every dephasing rate examined: dephasing destroys the amplitude carrying the nonlinear phase rather than rotating it. The one- and two-photon channels are not attenuated equally, so dephasing does not simply scale the node down but reweights it between photon-number sectors---an error no phase setting can train away. The standard factorization of two-photon correlators, exact for arbitrary loss, fails at first order in $\gamma_\phi$, discarding $16$--$81\%$ of pairs over $\gamma_\phi/\gamma=0.1$--$1$.
arXiv:2610.30098 [quant-ph]
(or arXiv:2610.30098v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2610.30098 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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