基于图态和中国剩余定理的量子秘密共享方案

Quantum secret sharing with graph states based on Chinese remainder theorem

受到量子图态几何结构和特性的启发,提出了一种基于图态和中国剩余定理的量子秘密共享方案。在该方案中,分发者在有限域内利用中国剩余定理分发秘密,秘密被编码到量子图态里并且通过酉正操作传送给合法参与者,合法参与者使用群恢复协议合作重建子秘密。该方案提供了一个简洁的方法,即通过使用纠缠图态的稳定子来传递信息,分析显示它能提供更好的信息安全性和性能。

Based on the topological features of quantum graph states,a quantum secret sharing scheme based on Chinese remainder theorem with a vivid graphic description was proposed.The dealer extracts sub-secrets according to Chinese remainder theorem over finite field,which were imbedded with quantum graph states and transmitted to the legal participants with unitary operations.Group-recovery protocols were used in the secret recovering processing through rebuilding sub-secrets among legal cooperative participants.Analysis shows that it could provide better security and capability of the information.