کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5103248 | 1480100 | 2017 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Approximate transformations of bipartite pure-state entanglement from the majorization lattice
ترجمه فارسی عنوان
تحولات تقریبی از دخالت دولت خالص دو طرفه از شبکه بزرگ کننده
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
چکیده انگلیسی
We study the problem of deterministic transformations of an initial pure entangled quantum state, |Ïã, into a target pure entangled quantum state, |Ïã, by using local operations and classical communication (LOCC). A celebrated result of Nielsen (1999) gives the necessary and sufficient condition that makes this entanglement transformation process possible. Indeed, this process can be achieved if and only if the majorization relation ÏâºÏ holds, where Ï and Ï are probability vectors obtained by taking the squares of the Schmidt coefficients of the initial and target states, respectively. In general, this condition is not fulfilled. However, one can look for an approximate entanglement transformation. Vidal et al. (2000) have proposed a deterministic transformation using LOCC in order to obtain a target state |Ïoptã most approximate to |Ïã in terms of maximal fidelity between them. Here, we show a strategy to deal with approximate entanglement transformations based on the properties of the majorization lattice. More precisely, we propose as approximate target state one whose Schmidt coefficients are given by the supremum between Ï and Ï. Our proposal is inspired on the observation that fidelity does not respect the majorization relation in general. Remarkably enough, we find that for some particular interesting cases, like two-qubit pure states or the entanglement concentration protocol, both proposals are coincident.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 473, 1 May 2017, Pages 403-411
Journal: Physica A: Statistical Mechanics and its Applications - Volume 473, 1 May 2017, Pages 403-411
نویسندگان
G.M. Bosyk, G. Sergioli, H. Freytes, F. Holik, G. Bellomo,