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quant-ph2025
Quantum Search with a Generalized Laplacian
Jonas Duda, Molly E. McLaughlin, Thomas G. Wong
A single excitation in a quantum spin network described by the Heisenberg model can effect a variety of continuous-time quantum walks on unweighted graphs, including those governed…
quant-ph2025★ 1 cited
Quantum Search with the Signless Laplacian
Molly E. McLaughlin, Thomas G. Wong
Continuous-time quantum walks are typically effected by either the discrete Laplacian or the adjacency matrix. In this paper, we explore a third option: the signless Laplacian, whi…
quant-ph2025★ 1 cited
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…