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We report the construction of a passive, deterministic andnear-unity-fidelity controlled-$\pi$-phase gate for single-photon wavepacketswith a node comprising a two-level emitter and a small number of cavities. Theproposed gate is rooted in the concept of time-reversal symmetric photontransport, which makes the entire photon transport process into a perfectabsorption and re-emission process. Consequently, it can circumvent thelongstanding issue of wavepacket distortion inherent in photonic phase gatesemploying nonlinear media. Moreover, such time-reversal symmetric transportensures the nonlinear $\pi$ phase shift by a single two-level emitter for thetwo-photon case. We develop analytical solutions to reveal the temporaldynamics of the nonlinear photon transport and to optimize the gate structure.Notably, the gate fidelity can exceed 99\% for a node with only four cavitiesfor both single-photon and two-photon operations. Moreover, the proposed gatearchitecture is compatible with the platforms of integrated photonics.

Passive and Deterministic Controlled-phase Gate for Single-photon Wavepackets Based on Time-reversal Symmetric Photon Transport