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quant-ph2026
Spatial Search by Nonlinear Quantum Walk
David A. Meyer, Thomas G. Wong
Many-body quantum systems with effective nonlinearities have been shown to speed up quantum search on the complete graph, \textit{i.e.}, the combinatorial version of Grover's algor…
quant-ph2025
Conserved Quantities in Linear and Nonlinear Quantum Search
David A. Meyer, Thomas G. Wong
In this tutorial, which contains some original results, we bridge the fields of quantum computing algorithms, conservation laws, and many-body quantum systems by examining three al…
quant-ph2024
Constant-Time Quantum Search with a Many-Body Quantum System
Benjamin DalFavero, Alexander Meill, David A. Meyer +2
The optimal runtime of a quantum computer searching a database is typically cited as the square root of the number of items in the database, which is famously achieved by Grover's…