The minimal time of dynamic evolution to an arbitrary state
Di Lv, Yan-Song Li, Gui Lu Long
TL;DR
This paper establishes bounds on the minimal time required for dynamic systems to evolve from an initial state to an arbitrary target state, with applications in quantum gates and algorithms.
Contribution
It introduces new bounds on the evolution time for quantum states, enhancing understanding of quantum control and speed limits.
Findings
Derived bounds for minimal evolution time in quantum systems
Applied bounds to quantum gates and algorithms
Provided insights into quantum control speed limits
Abstract
Two bounds on the minimal time of dynamic rotating an initial state by arbitrary angle have been obtained. These bounds have been applied to study the evolutions in the Hadamard-Walsch gate, the Control-NOT quantum gate, and the Grover algorithm.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Computing Algorithms and Architecture · Neural Networks and Reservoir Computing