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In arXiv:2001.03419 we introduce a universal error bound for constrained unitary dynamics within a well-gapped energy band of an isolated quantum system. Here, we provide the full details on the… Click to show full abstract
In arXiv:2001.03419 we introduce a universal error bound for constrained unitary dynamics within a well-gapped energy band of an isolated quantum system. Here, we provide the full details on the derivation of the bound. In addition, we generalize the result to isolated quantum many-body systems by employing the local Schrieffer-Wolff transformation, obtaining an error bound that grows polynomially in time. We also generalize the result to Markovian open quantum systems and quantitatively explain the quantum Zeno effect.
Keywords:
bounds constrained;
constrained dynamics;
dynamics gapped;
quantum systems;
gapped quantum;
error bounds
Journal Title: Physical Review A
Year Published: 2020
Link to full text (if available)
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Journal Title: Physical Review A
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!