Randomly Generating Four Mixed Bell-Diagonal States with a Concurrences Sum to Unity
S. P. Toh1**, Hishamuddin Zainuddin2,3, Kim Eng Foo2,4
1Faculty of Engineering, The University of Nottingham Malaysia Campus, Jalan Broga, 43500 Semenyih, Selangor Darul Ehsan, Malaysia 2Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia 3Department of Physics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia 4Faculty of Health and Life Sciences, INTI International University, Persiaran Perdana BBN, Putra Nilai, 71800 Nilai, Negeri Sembilan, Malaysia
Randomly Generating Four Mixed Bell-Diagonal States with a Concurrences Sum to Unity
S. P. Toh1**, Hishamuddin Zainuddin2,3, Kim Eng Foo2,4
1Faculty of Engineering, The University of Nottingham Malaysia Campus, Jalan Broga, 43500 Semenyih, Selangor Darul Ehsan, Malaysia 2Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia 3Department of Physics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia 4Faculty of Health and Life Sciences, INTI International University, Persiaran Perdana BBN, Putra Nilai, 71800 Nilai, Negeri Sembilan, Malaysia
摘要A two-qubit system in quantum information theory is the simplest bipartite quantum system and its concurrence for pure and mixed states is well known. As a subset of two-qubit systems, Bell-diagonal states can be depicted by a very simple geometrical representation of a tetrahedron with sides of length 2 √2. Based on this geometric representation, we propose a simple approach to randomly generate four mixed Bell decomposable states in which the sum of their concurrence is equal to one.
Abstract：A two-qubit system in quantum information theory is the simplest bipartite quantum system and its concurrence for pure and mixed states is well known. As a subset of two-qubit systems, Bell-diagonal states can be depicted by a very simple geometrical representation of a tetrahedron with sides of length 2 √2. Based on this geometric representation, we propose a simple approach to randomly generate four mixed Bell decomposable states in which the sum of their concurrence is equal to one.
(Entanglement measures, witnesses, and other characterizations)
引用本文:
S. P. Toh**;Hishamuddin Zainuddin;Kim Eng Foo;. Randomly Generating Four Mixed Bell-Diagonal States with a Concurrences Sum to Unity[J]. 中国物理快报, 2012, 29(1): 10305-010305.
S. P. Toh**, Hishamuddin Zainuddin, Kim Eng Foo,. Randomly Generating Four Mixed Bell-Diagonal States with a Concurrences Sum to Unity. Chin. Phys. Lett., 2012, 29(1): 10305-010305.
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2012, Vol. 29 
