Probing the geometry of two-qubit state space by evolution
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Publication:670000
DOI10.1007/S11128-019-2199-4zbMATH Open1417.81029arXiv1809.00731OpenAlexW3103683753WikidataQ128493395 ScholiaQ128493395MaRDI QIDQ670000
Author name not available (Why is that?)
Publication date: 15 March 2019
Published in: (Search for Journal in Brave)
Abstract: We derive an explicit expressions for geometric description of state manifold obtained from evolution governed by a three parameter family of Hamiltonians covering most cases related to real interacting two-qubit systems. We discuss types of evolution in terms of the defining parameters and obtain relevant explicit description of the pure state spaces and their Remannian geometry with the Fubini-Study metric . In particular, there is given an analysis of the modification of known geometry of quantum state manifold by the linear noncommuting perturbation of the Hamiltonian. For families of states resulting from the unitary evolution, we characterize a degree of entanglement using the squared concurrence as its measure.
Full work available at URL: https://arxiv.org/abs/1809.00731
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