Accessing quantum secrets via local operations and classical communication
Accessing quantum secrets via local operations and classical communication
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DOI：
10.1103/physreva.88.022340
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发表时间：
2013-08-30
影响因子：
2.9
通讯作者：
Sanders, Barry C.
中科院分区：
文献类型：
--
作者：
Gheorghiu, Vlad;Sanders, Barry C.
量子秘密共享和量子纠错方案依赖于多方解码协议，但涉及的非局部操作具有挑战性，有时甚至是不可行的。在这里，我们构造了一个量子秘密共享协议，减少了参与者之间的量子通信信道数量。提出了一种将经典线性码嵌入到量子纠错码中，然后将量子纠错码映射到量子秘密共享协议中的方案。与Calderbank-Shor-Steane构造不同，我们不对经典码施加任何限制；我们的协议适用于任何线性码。我们的工作为简化量子纠错码的译码这一更一般的问题铺平了道路。
Quantum secret-sharing and quantum error-correction schemes rely on multipartite decoding protocols, yet the nonlocal operations involved are challenging and sometimes infeasible. Here we construct a quantum secret-sharing protocol with a reduced number of quantum communication channels between the players. We introduce a scheme based on embedding a classical linear code into a quantum error-correcting code and then mapping the latter to a quantum secret-sharing protocol. In contrast to the Calderbank-Shor-Steane construction, we do not impose any restriction on the classical code; our protocol works with any arbitrary linear code. Our work paves the way towards the more general problem of simplifying the decoding of quantum error-correcting codes.