摘要It is a recent observation that entanglement classification for qubits is closely related to stochastic local operations and classical communication (SLOCC) invariants. Verstraete et al.[Phys. Rev. A 65 (2002) 052112] showed that for pure states of four qubits there are nine different degenerate SLOCC entanglement classes. Li et al.[Phys. Rev. A 76 (2007) 052311] showed that there are at least 28 distinct true SLOCC entanglement classes for four qubits by means of the SLOCC invariant and semi-invariant. We give 16 different entanglement classes for four qubits by means of basic SLOCC invariants.
Abstract：It is a recent observation that entanglement classification for qubits is closely related to stochastic local operations and classical communication (SLOCC) invariants. Verstraete et al.[Phys. Rev. A 65 (2002) 052112] showed that for pure states of four qubits there are nine different degenerate SLOCC entanglement classes. Li et al.[Phys. Rev. A 76 (2007) 052311] showed that there are at least 28 distinct true SLOCC entanglement classes for four qubits by means of the SLOCC invariant and semi-invariant. We give 16 different entanglement classes for four qubits by means of basic SLOCC invariants.
ZHA Xin-Wei**;MA Gang-Long
. Classification of Four-Qubit States by Means of a Stochastic Local Operation and the Classical Communication Invariant[J]. 中国物理快报, 2011, 28(2): 20301-020301.
ZHA Xin-Wei**, MA Gang-Long
. Classification of Four-Qubit States by Means of a Stochastic Local Operation and the Classical Communication Invariant. Chin. Phys. Lett., 2011, 28(2): 20301-020301.
[1] Dür W, Vidal G and Cirac J I 2000 Phys. Rev. A 62 062314
[2] Verstraete F, Dehaene J, De Moor B and Verschelde H 2002 Phys. Rev. A 65 052112
[3] Miyake A 2003 Phys. Rev. A 67 012108
[4] Osterloh A and Siewer J 2005 Phys. Rev. A 72 012337
[5] Osterloh A and Siewert J 2006 Int. J. Quantum Inf. 4 531
[6] Luque J G and Thibon J Y 2003 Phys. Rev. A 67 042303
[7] Li D F, Li X R, Huang H T and Li X X 2007 Phys. Rev. A 76 052311
[8] Ren X J, Jiang W, Zhou X, Zhou Z W and Guo G C 2008 Phys. Rev. A 78 012343
[9] Zha X W and Ren K F 2008 Phys. Rev. A 77 014306
2011, Vol. 28 
