Small sets of locally indistinguishable orthogonal maximally entangled states
نویسندگان
چکیده
منابع مشابه
Small sets of locally indistinguishable orthogonal maximally entangled states
We study the problem of distinguishing quantum states using local operations and classical communication (LOCC). A question of fundamental interest is whether there exist sets of k ≤ d orthogonal maximally entangled states in Cd ⊗ Cd that are not perfectly distinguishable by LOCC. A recent result by Yu, Duan, and Ying [Phys. Rev. Lett. 109 020506 (2012)] gives an affirmative answer for the case...
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 کاملPreservers of Maximally Entangled States
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, interchangin...
متن کاملTask-Oriented Maximally Entangled States
We introduce the notion of a task-oriented maximally entangled state (TMES). This notion depends on the tasks for which a quantum state is used as the resource. This concept may be more fruitful than that of a general maximally entangled state in the case of a multipartite system. We illustrate this idea by giving an operational definition of maximally entangled states on the basis of communica...
متن کاملLocally unextendible non-maximally entangled basis
We introduce the concept of the locally unextendible non-maximally entangled basis (LUNMEB) in H ⊗ H. It is shown that such a basis consists of d orthogonal vectors for a non-maximally entangled state. However, there can be a maximum of (d − 1) orthogonal vectors for non-maximally entangled state if it is maximally entangled in (d− 1) dimensional subspace. Such a basis plays an important role i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quantum Information and Computation
سال: 2014
ISSN: 1533-7146,1533-7146
DOI: 10.26421/qic14.13-14-3