Quantum channel capacity of traversable wormholes

Susmita Bhattacharjee, Riddhima Sadhu, Deep Bhattacharjee +13 more

Ping Gao, Hong Liu

Daniel Louis Jafferis, Alexander Zlokapa, Joseph David Lykken +5 more

Adam R. Brown, Leonard Susskind

Jingru Lu, Zhenbin Yang, J. P. Zheng

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.

Ning Bao, Aidan Chatwin-Davies, Jason Pollack +1 more

A bstract We interpret the traversable wormhole in AdS/CFT in the context of quantum information theory. In particular, we investigate its properties as both a quantum channel and entanglement witness. We define protocols that allow either the bounding of the channel’s entanglement capacity or the determination of aspects of the entanglement structure between the two boundary CFTs. Such protocols and connections allow for the use of quantum channel techniques in the study of gravitational physics and vice versa. More generally, our results suggest a purely quantum information-theoretic criterion for recognizing when the product of two boundary theories has a classical bulk interpretation.