Eigenvalue Formulation of Quantum Mechanics Near Closed Timelike Curves

Details Eigenvalue Formulation of Quantum Mechanics Near Closed Timelike Curves Eigenvalue Formulation of Quantum Mechanics Near Closed Timelike Curves

2012-01-23

arxiv.org/abs/1201.4870v1

Physics

Quantum Physics

8 pages, no figures

Scientific paper

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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