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arXiv · 1906.01672

Wormhole Traversability via Quantum Random Walks

Ning Bao·Vincent P. Su·Mykhaylo Usatyuk
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Abstract

In this work we seek to generalize the connection between traversable wormholes and quantum channels. We do this via a connection between traversable wormholes and graph geometries on which we can perform quantum random walks for signal transmission. As a proof of principle, we give an example of a geometry for which quantum random walk signal traversal occurs exponentially faster than a standard ballistic classical traversal. We then generalize this connection to superpositions over holographic states, and argue that the quantum random walk/graph geometry picture works to study quantum channel properties of such states.

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Ning Bao, Vincent P. Su, Mykhaylo Usatyuk. 2019-06-04. Wormhole Traversability via Quantum Random Walks. https://arxiv.org/abs/1906.01672

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