کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1901026 1045599 2013 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Realignment Operation and CCNR Criterion of Separability for States in Infinite-Dimensional Quantum Systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Realignment Operation and CCNR Criterion of Separability for States in Infinite-Dimensional Quantum Systems
چکیده انگلیسی

The realignment operation and the computable cross norm or realignment (CCNR) criterion of separability for states in infinite-dimensional bipartite quantum systems are established. Let HA and HB be complex Hilbert spaces with dim HA ⊕ HB ≤ +∞. Let ρ be a quantum state acting on HA ⊕ HB and {δk} be the Schmidt coefficients of ρ as a vector in the Hilbert space C2(HA) ⊕ C2(HB). We introduce the realignment operator ρR and the computable cross norm ||ρ||CCN of ρ and show that if ρ is separable, then ||ρR||Tr = ||ρ||CCN = Σk δ ≤ 1. In particular, if ρ is a pure state, then ρ is separable if and only if ||ρR||Tr = ||ρ||CCN = Σk δk = 1. For the finite-dimensional case, this recovers the original computable cross norm criterion.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 72, Issue 1, August 2013, Pages 25–40
نویسندگان
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