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quant-ph2024★ 2 cited
Searching Weighted Barbell Graphs with Laplacian and Adjacency Quantum Walks
Jonas Duda, Thomas G. Wong
A quantum particle evolving by Schrödinger's equation in discrete space constitutes a continuous-time quantum walk on a graph of vertices and edges. When a vertex is marked by an o…
quant-ph2024★ 2 cited
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…