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This research introduces a deterministic protocol for implementing the controlled-phase gate with entanglement consumption that approaches theoretical optimality across all rotation angles, addressing a limitation of previous Clifford-gate-only solutions. By demonstrating that vanishing rotation angles require correspondingly low entanglement, the work advances resource-efficient quantum circuit design essential for scalable fault-tolerant systems.
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Essentially optimal gate teleportation

arXiv1 min read

arXiv:2608.24345v1 Announce Type: new Abstract: Gate teleportation allows us to implement a nonlocal unitary using local operations, classical communication (LOCC), and a shared entangled state. Known deterministic teleportation protocols consume at least one full ebit and achieve optimal entanglement consumption only for Clifford gates. Here, we present a deterministic LOCC protocol for implementing the two-qubit controlled-phase gate $U_{\phi}=\mathrm{diag}(1,1,1,e^{i \phi})$ with $\phi \in [0,\pi]$ whose entanglement consumption is close to optimal for every $\phi$. In particular, vanishing rotation angles require vanishing entanglement.

Abstract:Gate teleportation allows us to implement a nonlocal unitary using local operations, classical communication (LOCC), and a shared entangled state. Known deterministic teleportation protocols consume at least one full ebit and achieve optimal entanglement consumption only for Clifford gates. Here, we present a deterministic LOCC protocol for implementing the two-qubit controlled-phase gate $U_{\phi}=\mathrm{diag}(1,1,1,e^{i \phi})$ with $\phi \in [0,\pi]$ whose entanglement consumption is close to optimal for every $\phi$. In particular, vanishing rotation angles require vanishing entanglement.

arXiv:2608.24345 [quant-ph]

(or arXiv:2608.24345v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.24345 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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