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本质最优的门远程传输

Essentially optimal gate teleportation

Lukas Schmitt, David Sutter

arXiv 2608.24345首次发表:更新:

AI 中文总结

针对两量子比特受控相位门,提出一种接近最优纠缠消耗的确定性LOCC门远程传输协议,解决了现有协议仅对Clifford门实现最优纠缠消耗的问题。

AI 中文摘要

门远程传输允许我们利用局域操作、经典通信(LOCC)及共享纠缠态实现非局域幺正操作。已知确定性远程传输协议至少消耗1个完整ebit,且仅对Clifford门实现最优纠缠消耗。本文提出一种用于实现两量子比特受控相位门$U_{\boldsymbol{\u03C6}}=\boldsymbol{\u0064iag}(1,1,1,e^{i\boldsymbol{\u03C6}})$($\boldsymbol{\u03C6}\boldsymbol{\u2208}[0,\boldsymbol{\u03C0}]$)的确定性LOCC协议,其对任意$\boldsymbol{\u03C6}$的纠缠消耗均接近最优,尤其当旋转角趋近于0时,所需纠缠也趋近于0。

英文摘要

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 $U_ϕ=\mathrm{diag}(1,1,1,e^{i ϕ})$ with $ϕ\in [0,π]$ whose entanglement consumption is close to optimal for every $ϕ$. In particular, vanishing rotation angles require vanishing entanglement.

Comments19 pages, 5 figures

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