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Open Quantum Systems Decoherence
Quantum Simulation
Entanglement Theory Quantum Correlations
Local numerical range for a class of 2otimes d hermitian operators
arXiv
Authors: J. Jurkowski, A. Rutkowski, D. Chruściński
Year
2014
Paper ID
47058
Status
Preprint
Abstract Read
~2 min
Abstract Words
92
Citations
N/A
Abstract
A local numerical range is analyzed for a family of circulant observables and states of composite 2 otimes d systems. It is shown that for any 2otimes d circulant operator cal O there exists a basis giving rise to the matrix representation with real non-negative off-diagonal elements. In this basis the problem of finding extremum of cal O on product vectors ket{x}otimes ket{y} in mathbb{C}2otimes mathbb{C}d reduces to the corresponding problem in mathbb{R}2otimes mathbb{R}d. The final analytical result for d=2 is presented.
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- A local numerical range is analyzed for a family of circulant observables and states of composite 2 otimes d systems.
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