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William Kretschmer

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  • ITCS2 editions2021–2023

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Quantum cryptography and quantum complexitySummer Cluster on Quantum Computing 20252025-07-07
Constructs a standard classical oracle where P = NP yet quantum‑computable one‑way functions and even trapdoor variants exist, using a forrelation encoding of…
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Learning Beyond Stabilizer StatesQuantum Summer Cluster Workshop 20232023-07-10
Shows concrete algorithms and limits: outputs of Clifford+T circuits with n qubits and k T gates are learnable in poly(n) time with sample and runtime scaling…
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Low-Stabilizer-Complexity Quantum States Are Not PseudorandomITCS 20232023-01-10
Gives an efficient procedure that, using four copies of an n‑qubit state, samples the scaled convolution q_psi of the Weyl‑operator characteristic distribution…
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Quantum Pseudorandomness and Classical ComplexityQuantum Wave in Computing Reunion 20212021-07-15
Constructs a simple quantum oracle where BQP = QMA relative to a quantum oracle while simultaneously pseudorandom quantum states (PRSs) exist relative to that…
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The Quantum Supremacy Tsirelson InequalityITCS 20212021-01-06
Proves a query lower bound for linear cross-entropy benchmarking: any polynomial-time quantum algorithm needs about 2^{n/4} queries to beat the trivial quantum…
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