Quantum Commitments and Signatures Without One-Way Functions

In the classical world, existence of commitments is equivalent to one-way functions. quantum setting, on other hand, are not known imply functions, but all constructions use at least Are functions really necessary for in world? this work, we show that non-interactive (for messages) with computational hiding and statistical binding exist if pseudorandom states exist. Pseudorandom sets efficiently generated their polynomially many copies computationally indistinguishable from same number Haar random [Ji, Liu, Song, CRYPTO 2018]. It even $$\textbf{BQP}=\textbf{QMA}$$ (relative a oracle) [Kretschmer, TQC 2021], which means can no quantum-secure cryptographic primitive exists. Our result therefore shows particular, function also consider digital signatures, fundamental primitives cryptography. We one-time secure signatures public keys result, (including functions)