In this paper, we present a quantum group signature (QGS) scheme based on orthogonal product states (OPSs) that cannot be perfectly distinguished by local operations and classical communication. Our scheme has all the properties of QGS, including unforgeability, undeniability, traceability, verifiability and anonymity. These properties can guarantee the security of the scheme. More importantly, different particles of a product state that comes from a nonlocal set are transmitted separately, thus the information that is encoded in the product state will not be leaked. Security and efficiency analysis of the scheme show that our scheme is secure and efficient.

中文翻译：

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基于正交积态的新型量子群签名方案

在本文中，我们提出了一种基于正交乘积状态 (OPS) 的量子群签名 (QGS) 方案，该方案无法通过局部操作和经典通信完美区分。我们的方案具有QGS的所有特性，包括不可伪造性、不可否认性、可追溯性、可验证性和匿名性。这些特性可以保证方案的安全性。更重要的是，来自非局部集合的产品状态的不同粒子是分开传输的，因此编码在产品状态中的信息不会泄露。方案的安全性和效率分析表明，我们的方案是安全和高效的。