非破坏性零知识证明在量子态上的应用，以及多方生成授权的隐藏GHZ态
Non-Destructive Zero-Knowledge Proofs on Quantum States, and Multi-Party Generation of Authorized Hidden GHZ States
AI总结：
本文提出非交互式零知识证明在量子领域的扩展，实现非破坏性验证量子态属性，并允许多方匿名生成授权的GHZ态，用于量子安全通信。
摘要：
我们提出了非交互式零知识证明（NIZK）在量子语言中的首次一般化（NIZKoQS），并提供了一个协议，用于非破坏性地证明接收到的量子态的高级属性（单条消息从证明者发送到验证者）。在我们的第二个正交贡献中，我们改进了昂贵的远程态制备协议[CCKW18,CCKW19,GV19]，这些协议可以经典地伪装量子信道（这是我们NIZKoQS协议的核心），通过展示如何从单一叠加态生成多量子比特态。最后，我们将这些结果推广到多方环境，并证明多方可以匿名地分发GHZ态，使得只有知道秘密凭证的参与者才能共享该态，这可能应用于量子匿名传输、量子秘密共享、量子洋葱路由等。
英文摘要：
We propose the first generalization of the famous Non-Interactive Zero-Knowledge (NIZK) proofs to quantum languages (NIZKoQS) and we provide a protocol to prove advanced properties on a received quantum state non-destructively and non-interactively (a single message being sent from the prover to the verifier). In our second orthogonal contribution, we improve the costly Remote State Preparation protocols [CCKW18,CCKW19,GV19] that can classically fake a quantum channel (this is at the heart of our NIZKoQS protocol) by showing how to create a multi-qubits state from a single superposition. Finally, we generalize these results to a multi-party setting and prove that multiple parties can anonymously distribute a GHZ state in such a way that only participants knowing a secret credential can share this state, which could have applications to quantum anonymous transmission, quantum secret sharing, quantum onion routing and more.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
