Harrybuhrman, Nishanthchandran, Sergefehr et al.
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Preprint
Oct 2026
We provide the first evidence relative to a classical oracle that pseudorandom unitaries (PRUs) can exist without quantum-computable one-way functions. To obtain this result, we first prove that five independent random diagonal phase layers interleaved with Hadamard transforms \[ U=F_5HF_4HF_3HF_2HF_1 \] form a strong...
Aditya Gulati, Dakshita Khurana, Kabir Tomer
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Eike Kiltz, V. Lyubashevsky, C. Schaffner
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Eike Kiltz, V. Lyubashevsky, C. Schaffner
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Preprint
Sep 2026
A key challenge in quantum cryptography is to build quantum one-wayness and pseudorandomness without the use of (quantum computable) one-way functions. So far, this has turned out to be a difficult task, with only a few proposed candidates that are not directly built from one-way functions. Even within these few propos...
Aditya Gulati, Dakshita Khurana, Kabir Tomer
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H. Buhrman, M. Christandl, C. Schaffner
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