Maximally entangled mixed states under nonlocal unitary operations in two qubits

by: Satoshi Ishizaka, Tohya Hiroshima

Physical Review A, Vol. 62, No. 2. (18 July 2000), 022310.

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Abstract

We propose mixed states in two qubits that have a property that the amount of entanglement of these states cannot be increased by any unitary transformation. The property is proven when the rank of the states is less than 4; and confirmed numerically in the other general cases. The corresponding entanglement of formation specified by its eigenvalues gives an upper bound of that for density matrices with the same eigenvalues. Further; as a simple application of the upper bound of the entanglement of formation; we analyze the entanglement of formation of the state generated by a decohered controlled- not gate in the spin-boson model.

@article{citeulike:1325758, abstract = {We propose mixed states in two qubits that have a property that the amount of entanglement of these states cannot be increased by any unitary transformation. The property is proven when the rank of the states is less than 4; and confirmed numerically in the other general cases. The corresponding entanglement of formation specified by its eigenvalues gives an upper bound of that for density matrices with the same eigenvalues. Further; as a simple application of the upper bound of the entanglement of formation; we analyze the entanglement of formation of the state generated by a decohered controlled- not gate in the spin-boson model.}, author = {Ishizaka, Satoshi and Hiroshima, Tohya }, citeulike-article-id = {1325758}, doi = {10.1103/PhysRevA.62.022310}, journal = {Physical Review A}, keywords = {mems, nonlocal}, month = {July}, number = {2}, pages = {022310+}, posted-at = {2007-05-24 20:58:25}, priority = {0}, publisher = {American Physical Society}, title = {Maximally entangled mixed states under nonlocal unitary operations in two qubits}, url = {http://dx.doi.org/10.1103/PhysRevA.62.022310}, volume = {62}, year = {2000} }

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TY - JOUR ID - citeulike:1325758 L3 - citeulike-article-id:1325758 TI - Maximally entangled mixed states under nonlocal unitary operations in two qubits JF - Physical Review A VL - 62 IS - 2 SP - 022310 PB - American Physical Society N2 - We propose mixed states in two qubits that have a property that the amount of entanglement of these states cannot be increased by any unitary transformation. The property is proven when the rank of the states is less than 4; and confirmed numerically in the other general cases. The corresponding entanglement of formation specified by its eigenvalues gives an upper bound of that for density matrices with the same eigenvalues. Further; as a simple application of the upper bound of the entanglement of formation; we analyze the entanglement of formation of the state generated by a decohered controlled- not gate in the spin-boson model. KW - mems KW - nonlocal AU - Ishizaka, Satoshi AU - Hiroshima, Tohya PY - 2000/07/18/ UR - http://dx.doi.org/10.1103/PhysRevA.62.022310 ER -

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