%0 Journal Article
%T Eigenvalue Formulation of Quantum Mechanics Near Closed Timelike Curves
%A Z. Gedik
%J Physics
%D 2012
%I arXiv
%X Einstein's field equations of gravitation are known to admit closed timelike curve (CTC) solutions. Deutsch approached the problem from the quantum information point of view and proposed a self-consistency condition. In this work, the Deutsch equation is formulated as an eigenvalue problem. The disappearance of entanglement between two qubits in an Einstein-Podolsky-Rosen (EPR) state near a CTC is demonstrated. The method is utilized to analyze the discontinuous evolution of two chronology respecting (CR) qubits near a CTC.
%U http://arxiv.org/abs/1201.4870v1