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A Synthesis of Hidden Subgroup Quantum Algorithms and Quantum Chemical Dynamics

Srinivasan S. IyengarAnup KumarDebadrita SahaAmr Sabry
Dec 2022
摘要
We describe a general formalism for quantum dynamics and show how thisformalism subsumes several quantum algorithms including the Deutsch,Deutsch-Jozsa, Bernstein-Vazirani, Simon, and Shor algorithms as well as theconventional approach to quantum dynamics based on tensor networks. The commonframework exposes similarities among quantum algorithms and natural quantumphenomena: we illustrate this connection by showing how the correlated behaviorof protons in water wire systems that are common in many biological andmaterials systems parallels the structure of Shor's algorithm.
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