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Efficient geometry oracle design for quantum algorithms simulating structured materials. Identifies when quantum oracles for exponentially many geometric features can be implemented via polynomial-size circuits using pseudorandom local texture structures. Based on arXiv:2606.00222.
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| name | quantum-geometry-oracles |
| description | Efficient geometry oracle design for quantum algorithms simulating structured materials. Identifies when quantum oracles for exponentially many geometric features can be implemented via polynomial-size circuits using pseudorandom local texture structures. Based on arXiv:2606.00222. |
Quantum algorithms for linear systems require oracle access to matrix geometry. For materials with exponentially many geometric features, oracles are generally intractable (Grover-type lower bounds).
Pseudorandom locally textured materials admit polynomial-size quantum circuit oracles when suitable structure is imposed, despite having exponentially many geometric features.
quantum oracle, geometry oracle, material simulation, pseudorandom structure, quantum linear systems, Grover lower bound
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