arXiv:1201.4870 [quant-ph]AbstractReferencesReviewsResources
Eigenvalue Formulation of Quantum Mechanics Near Closed Timelike Curves
Published 2012-01-23Version 1
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.
Comments: 8 pages, no figures
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