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arXiv · 1201.4870

Eigenvalue Formulation of Quantum Mechanics Near Closed Timelike Curves

Z. Gedik
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Abstract

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.

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Z. Gedik. 2012-01-23. Eigenvalue Formulation of Quantum Mechanics Near Closed Timelike Curves. https://arxiv.org/abs/1201.4870

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