Any 1-PRS can be amplified to t-PRS for polynomial t by randomness accounting and quantum extractors that eliminate arbitrary ancilla.
Pseudoran- dom (Function-Like) Quantum State Generators: New Definitions and Applications
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Generic Number-of-Copies Amplification for Pseudorandom States
Any 1-PRS can be amplified to t-PRS for polynomial t by randomness accounting and quantum extractors that eliminate arbitrary ancilla.