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Synthesis of Hidden Subgroup Quantum Algorithms and Quantum Chemical Dynamics.
S. Iyengar, Anup Kumar, Debadrita Saha, Amr Sabry·December 25, 2022·DOI: 10.1021/acs.jctc.3c00404
PhysicsMathematicsMedicine
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Abstract
We describe a general formalism for quantum dynamics and show how this formalism subsumes several quantum algorithms, including the Deutsch, Deutsch-Jozsa, Bernstein-Vazirani, Simon, and Shor algorithms as well as the conventional approach to quantum dynamics based on tensor networks. The common framework exposes similarities among quantum algorithms and natural quantum phenomena: we illustrate this connection by showing how the correlated behavior of protons in water wire systems that are common in many biological and materials systems parallels the structure of Shor's algorithm.