Probing the geometry of two-qubit state space by evolution

التفاصيل البيبلوغرافية
العنوان: Probing the geometry of two-qubit state space by evolution
المؤلفون: Frydryszak, Andrzej M., Gieysztor, Maria, Kuzmak, Andrij
المصدر: Quantum Inf Process (2019) 18: 84
سنة النشر: 2018
المجموعة: Mathematics
Mathematical Physics
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Mathematical Physics, 81Q70, 81P40, 81P16
الوصف: 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.
Comment: 19 p
نوع الوثيقة: Working Paper
DOI: 10.1007/s11128-019-2199-4
URL الوصول: http://arxiv.org/abs/1809.00731
رقم الأكسشن: edsarx.1809.00731
قاعدة البيانات: arXiv
الوصف
DOI:10.1007/s11128-019-2199-4