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arXiv · 1406.2578

Graph Theory and Qubit Information Systems of Extremal Black Branes

Adil Belhaj·Moulay Brahim Sedra·Antonio Segui
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Abstract

Using graph theory based on Adinkras, we consider once again the study of extremal black branes in the framework of quantum information. More precisely, we propose a one to one correspondence between qubit systems, Adinkras and certain extremal black branes obtained from type IIA superstring compactified on T^n. We accordingly interpret the real Hodge diagram of T^n as the geometry of a class of Adinkras formed by 2^n bosonic nodes representing n qubits. In this graphic representation, each node encodes information on the qubit quantum states and the charges of the extremal black branes built on T^n. The correspondence is generalized to n superqubits associated with odd and even geometries on the real supermanifold T^{n|n}. Using a combinatorial computation, general expressions describing the number of the bosonic and the fermionic states are obtained.

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Adil Belhaj, Moulay Brahim Sedra, Antonio Segui. 2014-06-10. Graph Theory and Qubit Information Systems of Extremal Black Branes. https://doi.org/10.1088/1751-8113/48/4/045401

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