In the areas of electronic identification and electronic trust services, the Regulation No. 910/2014 of the European Parliament and of the Council on electronic identification and trust services for electronic transactions in the internal market and repealing Directive 1999/93/EC (eIDAS) creates uniform regulations for electronic signatures, seals, time stamps, registered mail and website certificates in the European single market. All developments that affect the security of signature procedures have an impact. In this study, we consider the candidates for quantum computer-resistant asymmetric cryptographic (PQC) methods currently under investigation in international research and standardization and evaluate their suitability for PKI systems with a focus on long-term preservation of evidential value, as is the case in particular with eIDAS-compliant signature solutions. Based on an evaluation system proposed by us - an adaptation of the system from [2] - we compare the application requirements with the properties of the candidates and recommend suitable methods.