Quantum teleportation through time-shifted AdS wormholes

TL;DR

The paper extends traversable-wormhole constructions to a broad family of time-shifted thermofield double states $|\Psi_T\rangle = e^{i H_R T} |\Psi_{\mathrm{tfd}}\rangle$, and shows that the Gao–Jafferis–Wall deformation $e^{i g \\mathcal{O}_L \\mathcal{O}_R}$ or an appropriately structured quantum teleportation protocol can render the wormhole traversable. It demonstrates that, for all $T>0$, the interior remains smooth, with correlators isomorphic to the standard TFD case via precursors such as $X_R$, and it discusses a laboratory realization of a time-machine in which a probe exits the right CFT after an elapsed proper time independent of $T$. The work also analyzes $T<0$ regimes and the firewall/state-dependence implications, arguing that smooth interiors across the time-shifted family point toward state-dependent bulk observables. Together, these results reinforce the ER=EPR viewpoint and provide a concrete, teleportation-based framework for temporally shifting traversal in holographic spacetimes.

Abstract

Based on the work of Gao-Jafferis-Wall and Maldacena-Stanford-Yang, we observe that the time-shifted thermofield states of two entangled CFTs can be made traversable by an appropriate coupling of the two CFTs, or alternatively by the application of a modified quantum teleportation protocol. This provides evidence for the smoothness of the horizon for a large class of entangled states related to the thermofield by time-translations. The smoothness of these states has some relevance for the firewall paradox and the proposal that some observables in quantum gravity may be state-dependent. We notice that quantum teleportation through these entangled states could be used in a laboratory setup to implement a time-machine, which allows the observer to travel far in the future.

Figures (5)

• Figure 1: A double trace deformation creates a shockwave which displaces the probe $\phi$, allowing it to escape from the black hole. The coordinates are discontinues at the shockwave, while the path of the probe is smooth.
• Figure 2: a) In the time-shifted wormhole, with $T>0$, we need to act with a more complicated operator $X_R$ to receive the probe. b) Similar results can be achieved by using a precursor on the left CFT. Note that the Penrose diagrams can be misleading for precursors, because they may have a more involved bulk interpretation, see for example Heemskerk:2012mn. However, the quantum state on the boundary after the end of the experiment can be reliably predicted.
• Figure 3: a) The memory of the probe can be modified by sending an early perturbation from the right. b) The same setup for the thermofield state.
• Figure 4: a) In the time-shifted wormhole, with $T < 0$, we can still recover the probe provided that T is not to large. b) The extreme case in which we receive the probe almost immediately.
• Figure 5: Local operators at points $P,Q$ are state-dependent