Quantum Channel Capacity of Traversable Wormhole

TL;DR

This paper models the traversable wormhole protocol as a quantum channel, computes its capacity, and links it to operator growth, providing a benchmark for quantum simulations.

Contribution

It introduces a quantum channel formulation of the traversable wormhole protocol and relates its capacity to holographic operator growth.

Findings

Channel capacity is governed by the time derivative of an out-of-time-ordered correlator.

Capacity growth is bounded by the Einstein gravity limit.

Provides a benchmark for quantum simulations of traversable wormholes.

Abstract

We formulate the Gao-Jafferis-Wall traversable wormhole protocol as a quantum channel and compute its quantum channel capacity. We show that this capacity is governed by the time derivative of an out-of-time-ordered correlator, hence by operator size growth in the holographic dual, and that its growth is bounded above by the Einstein gravity limit. The channel capacity therefore provides a natural benchmark for quantum simulations of traversable wormholes.