Presents LCU block-encodings for SLAC derivative operators, applies Shannon wavelets and preconditioning, and obtains O(d n^3 α^(k) log(1/ε)) gate complexity for d-dimensional PDEs via QLSA.
Fault-Tolerant Quantum Simulations of Chemistry in First Quantization
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Resource estimates for quantum simulation of pionless and pionful nuclear lattice EFTs, including time evolution and energy estimation, with new error bounds from symmetries and locality yielding orders-of-magnitude improvements for the pionless case.
Unitaria is a new open-source Python library that provides a high-level, composable interface for block encodings in quantum computing, enabling automatic circuit generation and classical simulation-based verification.
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Quantum algorithm for solving differential equations using SLAC derivatives
Presents LCU block-encodings for SLAC derivative operators, applies Shannon wavelets and preconditioning, and obtains O(d n^3 α^(k) log(1/ε)) gate complexity for d-dimensional PDEs via QLSA.
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Quantum Algorithms for Simulating Nuclear Effective Field Theories
Resource estimates for quantum simulation of pionless and pionful nuclear lattice EFTs, including time evolution and energy estimation, with new error bounds from symmetries and locality yielding orders-of-magnitude improvements for the pionless case.