论文标题
量子电路的安全多方量子计算协议:三重量子误差校正代码的利用
Secure multi-party quantum computation protocol for quantum circuits: the exploitation of triply-even quantum error-correcting codes
论文作者
论文摘要
安全的多方量子计算(MPQC)协议是一个加密原始的,即使某些量子节点不遵守该协议的说明,也允许对$ n $互不信任的量子节点进行无错误的分布式量子计算。在这里,我们建议一种修改后的MPQC协议,该协议采用非常规量子错误校正代码,因此减少了协议执行所需的量子数。尤其是,用三重速度的自我双重calderbank-s-s-s-steane量子误差校正代码允许我们避免以前必不可少但资源密集的``魔术''状态验证的过程。此外,由于每个额外的量子都会降低物理设备的可信度,因此我们的建议通过将量子节点的必要量子数从$ n^2 +θ(r)n $减少来使MPQC协议更容易访问,其中$ r $是$ n^2 + n^2 + 3n $。
Secure multi-party quantum computation (MPQC) protocol is a cryptographic primitive allowing error-free distributed quantum computation to a group of $n$ mutually distrustful quantum nodes even when some quantum nodes disobey the instructions of the protocol. Here we suggest a modified MPQC protocol that adopts unconventional quantum error-correcting codes and as a consequence reduces the number of qubits required for the protocol execution. In particular, the replacement of the self-dual Calderbank-Shor-Steane quantum error-correcting codes with triply-even ones permits us to avoid the previously indispensable but resource-intensive procedure of the ``magic'' state verification. Besides, since every extra qubit reduces the credibility of physical devices, our suggestion makes the MPQC protocol more accessible for the near-future technology by reducing the number of necessary qubits per quantum node from $n^2 + Θ(r)n$, where $r$ is the security parameter, to $n^2 + 3n$.