Quantum homomorphic signature with repeatable verification

In January 2015, the first quantum homomorphic signature scheme was proposed creatively. However, only one verifier is allowed to verify a signature once in this scheme. In order to support repeatable verification for general scenario, we propose a new quantum homomorphic signature scheme with repeatable verification by introducing serial verification model and parallel verification model. Serial verification model solves the problem of signature verification by combining key distribution and Bell measurement. Parallel verification model solves the problem of signature duplication by logically treating one particle of an EPR pair as a quantum signature and physically preparing a new EPR pair. These models will be beneficial to the signature verification of general scenarios. Scheme analysis shows that both intermediate verifiers and terminal verifiers can successfully verify signatures in the same operation with fewer resource consumption, and especially the verified signature in entangled states can be used repeatedly.