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Quantum State Preparation Representation
Note on a Product Formula Related to Quantum Zeno Dynamics
arXiv
Authors: Pavel Exner, Takashi Ichinose
Year
2020
Paper ID
432
Status
Preprint
Abstract Read
~2 min
Abstract Words
80
Citations
N/A
Abstract
Given a nonnegative self-adjoint operator H acting on a separable Hilbert space and an orthogonal projection P such that HP := \(H1/2P\)^*\(H1/2P\) is densely defined, we prove that limn→ infty \(P e-itH/nP\)n = e-itHPP holds in the strong operator topology. We also derive modifications of this product formula and its extension to the situation when P is replaced by a strongly continuous projection-valued function satisfying P(0)=P.
Why This Paper Matters
- This paper contributes to the Quantum State Preparation & Representation research area in the Quantum Articles archive.
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- Given a nonnegative self-adjoint operator H acting on a separable Hilbert space and an orthogonal projection P such that HP := (H^1/2P)^*(H^1/2P) is densely defined, we prove...
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