arXiv subjects

M. Bensed

Publications and source records attributed to M. Bensed.

2 recordsLinked to original sources

arXiv2017

Four-qubit Systems and Dyonic Black Hole-Black Branes in Superstring Theory

Using dyonic solutions in the type IIA superstring theory on Calabi-Yau manifolds, we reconsider the study of black objects and quantum information theory using string/string duality in six dimensions. Concretely, we relate four-qubits with a stringy quaternionic moduli space of type IIA compactification associated with a dyonic black solution formed by black holes (BH) and black 2-branes (B2B) carrying 8 electric charges and 8 magnetic charges. This connection is made by associating the cohomology classes of the heterotic superstring on T^{4} to four-qubit states. These states are interpreted in terms of such dyonic charges resulting from the quaternionic symmetric space \frac{SO(4,4)}{SO(4)\times SO(4)} corresponding to a N=4 sigma model superpotential in two dimensions. The superpotential is considered as a functional depending on four quaternionic fields mapped to a class of Clifford algebras denoted as Cl_{0,4}. A link between such an algebra and the cohomology classes of T^4 in heterotic superstring theory is also given.

hep-th↗

arXiv2017

Qubit and Fermionic Fock Spaces from Type II Superstring Black Holes

Using Hodge diagram combinatorial data, we study qubit and fermionic Fock spaces from the point of view of type II superstring black holes based on complex compactifications. Concretely, we establish a one-to-one correspondence between qubits, fermionic spaces and extremal black holes in maximally supersymmetric supergravity obtained from type II superstring on complex toroidal and Calabi-Yau compactifications. We interpret the differential forms of the n-dimensional complex toroidal compactification as states of n-qubits encoding information on extremal black hole charges. We show that there are 2^n copies of n-qubit systems which can be split as 2^n=2^{n-1}+2^{n-1}. More precisely, 2^{n-1} copies are associated with even D-brane charges in type IIA superstring and the other 2^{n-1} ones correspond to odd D-brane charges in IIB superstring. This correspondence is generalized to a class of Calabi-Yau manifolds. In connection with black hole charges in type IIA superstring, an n-qubit system has been obtained from a canonical line bundle of n factors of one dimensional projective space \mathbb{CP}^1.

hep-th↗