کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5102369 | 1480082 | 2018 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
New entropic inequalities for qubit and unimodal Gaussian states
ترجمه فارسی عنوان
نابرابری های جدید آنتروپیک برای حالت کوبی و غیر همجوار گاوسی
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
چکیده انگلیسی
The Tsallis relative entropy Sq(ÏË,ÏË) measures the distance between two arbitrary density matrices ÏË and ÏË. In this work the approximation to this quantity when q=1+δ (δâª1) is obtained. It is shown that the resulting series is equal to the von Neumann relative entropy when δ=0. Analyzing the von Neumann relative entropy for an arbitrary ÏË and a thermal equilibrium state ÏË=eâβHËâTr(eâβHË) is possible to define a new inequality relating the energy, the entropy, and the partition function of the system. From this inequality, a parameter that measures the distance between the two states is defined. This distance is calculated for a general qubit system and for an arbitrary unimodal Gaussian state. In the qubit case, the dependence on the purity of the system is studied for Tâ¥0 and also for T<0. In the Gaussian case the general partition function, given a unimodal quadratic Hamiltonian, is calculated and the comparison of the thermal light state as a thermal equilibrium state of the parametric amplifier is presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 491, 1 February 2018, Pages 64-70
Journal: Physica A: Statistical Mechanics and its Applications - Volume 491, 1 February 2018, Pages 64-70
نویسندگان
J.A. López-SaldÃvar, O. Castaños, M.A. Man'ko, V.I. Man'ko,