Wormhole Traversability via Quantum Random Walks
arXiv:1906.01672
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.
18 pages, 4 figures
References in corpus (21)
- Eternal Black Holes in AdS
- Universal computation by quantum walk
- Bulk Locality and Quantum Error Correction in AdS/CFT
- Spatial search by quantum walk
- Entanglement-Assisted Classical Capacity of Noisy Quantum Channels
- Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
- Traversable Wormholes via a Double Trace Deformation
- An example of the difference between quantum and classical random walks
- The Holographic Entropy Cone
- Holographic Renyi Entropy from Quantum Error Correction
- Exact holographic mapping and emergent space-time geometry
- Consistency Conditions for an AdS/MERA Correspondence
- Holographic entropy relations
- Linearity of Holographic Entanglement Entropy
- Holographic Tensor Networks in Full AdS/CFT
- Traversable Wormholes as Quantum Channels: Exploring CFT Entanglement Structure and Channel Capacity in Holography
- Wormhole and Entanglement (Non-)Detection in the ER=EPR Correspondence
- Handlebody phases and the polyhedrality of the holographic entropy cone
- Splitting Spacetime and Cloning Qubits: Linking No-Go Theorems across the ER=EPR Duality
- Entanglement Conservation, ER=EPR, and a New Classical Area Theorem for Wormholes
- Bulk Connectedness and Boundary Entanglement