Bound entangled states violate a nonsymmetric local uncertainty relation
نویسنده
چکیده
As a consequence of having a positive partial transpose, bound entangled states lack many of the properties otherwise associated with entanglement. It is therefore interesting to identify properties that distinguish bound entangled states from separable states. In this paper, it is shown that some bound entangled states violate a nonsymmetric class of local uncertainty relations @H. F. Hofmann and S. Takeuchi, Phys. Rev. A 68, 032103 ~2003!#. This result indicates that the asymmetry of nonclassical correlations may be a characteristic feature of bound entanglement.
منابع مشابه
ar X iv : q ua nt - p h / 03 05 00 3 v 1 1 M ay 2 00 3 Bound entangled states violate a non - symmetric local uncertainty relation
As a consequence of having a positive partial transpose, bound entangled states lack many of the properties otherwise associated with entanglement. It is therefore interesting to identify properties that distinguish bound entangled states from separable states. In this paper, it is shown that some bound entangled states violate a non-symmetric class of local uncertainty relations (quant-ph/0212...
متن کاملMultipartite bound entangled states that violate Bell's inequality.
We study the relation between distillability of multipartite states and violation of Bell's inequality. We prove that there exist multipartite bound entangled states (i.e., nonseparable, nondistillable states) that violate a multipartite Bell inequality. This implies that (i) violation of Bell's inequality is not a sufficient condition for distillability and (ii) some bound entangled states can...
متن کاملConstruction of bound entangled states based on permutation operators
We present a construction of new bound entangled states from given bound entangled states for arbitrary dimensional bipartite systems. One way to construct bound entangled states is to show that these states are PPT (positive partial transpose) and violate the range criterion at the same time. By applying certain operators to given bound entangled states or to one of the subsystems of the given...
متن کاملLocal measurements and entangled states
In conformity with our previous work on the measurement process in quantum mechanics in terms of first passage random walks in Hilbert space through interactions with the measuring devices, we here consider the problem of measurement of entangled states at spatially separated measuring devices. We find that Bell’s inequality need not be an obstacle if the set of hidden variables include local o...
متن کاملCharacterization 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 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 2003