Tag: quantum algorithms
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Quantum Computers Extract Scattering Phase Shift in 1D Systems via Integrated Correlation Functions
Overview: A New Route to Scattering Phase Shifts Understanding how particles interact at the quantum level often hinges on accurately calculating scattering phase shifts. These shifts encode how wavefunctions evolve as particles scatter and interact, revealing fundamental properties of the forces at play. Traditionally, determining phase shifts in one-dimensional (1D) systems has posed significant theoretical…
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Qubit-Efficient Optimization: Geometry in a Smaller Hilbert Space
Recasting optimization as geometry Quantum computing has promised exponential speedups for certain problems, but practical implementations still face the hurdle of qubit scarcity and error rates. A growing research direction aims to reframe challenging optimization tasks as geometric problems within a carefully crafted Hilbert space. By doing so, scientists can capture the essential structure of…