Traditional financial institutions face inefficiencies that can be addressed by distributed ledger technology. However, a primary barrier to adoption is the privacy concerns surrounding publicly available transaction data. Existing private protocols for distributed ledger that focus on the Ring-CT model are not suitable for adoption for financial institutions. We propose a post-quantum, lattice-based transaction scheme for encrypted ledgers which better aligns with institutions' requirements for confidentiality and audit-ability. The construction leverages various zero-knowledge proof techniques, and introduces a new method for equating two commitment messages, without the capability to open one of the commitment during the re-commitment. Subsequently, we build a publicly verifiable transaction scheme that is efficient for single or multi-assets, by introducing a new compact range-proof. We then provide a security analysis of it. The techniques used and the proofs constructed could be of independent interest.

翻译：传统金融机构面临效率低下的问题，分布式账本技术可为此提供解决方案。然而，采用该技术的主要障碍在于公开交易数据引发的隐私担忧。现有专注于环机密交易模型的私有分布式账本协议并不适用于金融机构。我们提出一种基于格的后量子加密账本交易方案，该方案更符合机构对保密性与可审计性的要求。该构建运用了多种零知识证明技术，并引入了一种新的承诺消息等值化方法，该方法在重新承诺过程中无法打开任一原始承诺。随后，我们通过引入新型紧凑范围证明，构建了适用于单资产或多资产场景的高效公开可验证交易方案，并提供了相应的安全性分析。所采用的技术与构建的证明本身可能具有独立的研究价值。