Preservers of Maximally Entangled States
نویسنده
چکیده
The linear structure of the real space spanned by maximally entangled states is investigated, and used to completely characterize those linear maps preserving the set of maximally entangled states on Mm ⊗Mm, where Mm denotes the space of m ×m complex matrices. Aside from a degenerate rank one map, such preservers are generated by a change of orthonormal basis in each tensor factor, interchanging the two tensor factors, and the transpose operator. 2000 Mathematics Subject Classification. 15A86, 15B57, 46N50.
منابع مشابه
Characterization of maximally entangled two-qubit states via the Bell-Clauser-Horne-Shimony-Holt inequality
Maximally entangled states should maximally violate the Bell inequality. In this paper, it is proved that all two-qubit states that maximally violate the Bell-Clauser-Horne-Shimony-Holt inequality are exactly Bell states and the states obtained from them by local unitary transformations. The proof is obtained by using the certain algebraic properties that Pauli’s matrices satisfy. The argument ...
متن کاملMax - Planck - Institut für Mathematik in den Naturwissenschaften Leipzig Mixed Maximally Entangled States
We find that the mixed maximally entangled states exist and prove that the form of the mixed maximally entangled states is unique in terms of the entanglement of formation. Moreover, even if the entanglement is quantified by other entanglement measures, this conclusion is still proven right. This result is a supplementary to the generally accepted fact that all maximally entangled states are pu...
متن کاملMixed maximally entangled states
We find that the mixed maximally entangled states exist and prove that the form of the mixed maximally entangled states is unique in terms of the entanglement of formation. Moreover, even if the entanglement is quantified by other entanglement measures, this conclusion is still proven right. This result is a supplementary to the generally accepted fact that all maximally entangled states are pu...
متن کاملConstant rotation of two-qubit equally entangled pure states by local quantum operations
We look for local unitary operatorsW1⊗W2 which would rotate all equally entangled two-qubit pure states by the same but arbitrary amount. It is shown that all two-qubit maximally entangled states can be rotated through the same but arbitrary amount by local unitary operators. But there is no local unitary operator which can rotate all equally entangled non-maximally entangled states by the same...
متن کاملTeleportation via maximally and non-maximally entangled mixed states
We study the efficiency of two-qubit mixed entangled states as resources for quantum teleportation. We first consider two maximally entangled mixed states, viz., the Werner state[1], and a class of states introduced by Munro et al. [2]. We show that the Werner state when used as teleportation channel, gives rise to better average teleportation fidelity compared to the latter class of states for...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2013