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Quantum Foundations
Hamiltonian Transformability, Fast Adiabatic Dynamics and Hidden Adiabaticity
arXiv
Authors: Lian-Ao Wu, Dvira Segal
Year
2020
Paper ID
18633
Status
Preprint
Abstract Read
~2 min
Abstract Words
85
Citations
N/A
Abstract
We prove the existence of a unitary transformation that enables two arbitrarily given Hamiltonians in the same Hilbert space to be transformed into one another. The result is straightforward yet, for example, it lays the foundation to implementing or mimicking dynamics with the most controllable Hamiltonian. As a promising application, this existence theorem allows for a rapidly evolving realization of adiabatic quantum computation by transforming a Hamiltonian where dynamics is in the adiabatic regime into a rapidly evolving one. We illustrate the theorem with examples.
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- This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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- We prove the existence of a unitary transformation that enables two arbitrarily given Hamiltonians in the same Hilbert space to be transformed into one another.
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