Partial transposition on bi-partite system
量子物理
2007-05-23 v1
摘要
Many of the properties of the partial transposition are not clear so far. Here the number of the negative eigenvalues of K(T)(the partial transposition of K) is considered carefully when K is a two-partite state. There are strong evidences to show that the number of negative eigenvalues of K(T) is N(N-1)/2 at most when K is a state in Hilbert space N*N. For the special case, 2*2 system(two qubits), we use this result to give a partial proof of the conjecture sqrt(K(T))(T)>=0. We find that this conjecture is strongly connected with the entanglement of the state corresponding to the negative eigenvalue of K(T) or the negative entropy of K.
引用
@article{arxiv.quant-ph/0609091,
title = {Partial transposition on bi-partite system},
author = {Y. -J. Han and X. J. Ren and Y. C. Wu and G. -C. Guo},
journal= {arXiv preprint arXiv:quant-ph/0609091},
year = {2007}
}