Abstract
ER=EPR allows us to think of quantum teleportation as communication of quantum information through space-time wormholes connecting entangled systems. The conditions for teleportation render the wormhole traversable so that a quantum system entering one end of the ERB will, after a suitable time, appear at the other end. Teleportation requires the transfer of classical information outside the horizon, but the classical bit-string carries no information about the teleported system; the teleported system passes through the ERB leaving no trace outside the horizon. In general the teleported system will retain a memory of what it encountered in the wormhole. This phenomenon could be observable in a laboratory equipped with quantum computers.
Highlights
Quantum gravity is nothing if not surprising: (i) Black holes are not black: they have entropy, temperature, and they evaporate. (ii) Geometric theorems like the nondecrease of horizon area are violated. (iii) The most fundamental locality principle of quantum field theory—that degrees of freedom (d.o.f.) can independently be varied in different regions of space—is not even approximately correct.1 (iv) Quantum entanglement is responsible for the continuity of space [1]
The most recent surprise is the ER 1⁄4 EPR principle [2] that equates the existence of wormholes with quantum entanglement
One manifestation of ER 1⁄4 EPR is that under certain special conditions, Alice and Bob can jump into very distant black holes and quickly meet behind the horizon
Summary
Quantum gravity is nothing if not surprising: (i) Black holes are not black: they have entropy, temperature, and they evaporate. (ii) Geometric theorems like the nondecrease of horizon area are violated. (iii) The most fundamental locality principle of quantum field theory—that degrees of freedom (d.o.f.) can independently be varied in different regions of space—is not even approximately correct. (iv) Quantum entanglement is responsible for the continuity of space [1]. From whatever manipulation Charlie did when he handed Alice and Bob their bits, will store a perfect record that Eve can access.. Alice has a third qubit T in the quantum state jΦiT ≡ Φð0Þj0iT þ Φð1Þj1iT: Alice measures her two qubit system—call it AT—in the Bell basis j1i 1⁄4 j00i þ j11i jxi 1⁄4 j10i þ j01i jyi 1⁄4 j10i − j01i jzi 1⁄4 j00i − j11i ð1:1Þ and gets one of four outcomes labeled (1, x, y, z) She writes the outcome on a scrap of paper and sends it to Bob. When Bob gets the classical message, depending on what it says, he applies one of four operators 1, X, Y, or Z to his qubit. Combining quantum teleportation with the idea that entangled black holes are connected by Einstein-Rosen bridges implies that ER 1⁄4 EPR could in-principle be tested by observers who themselves never cross the horizon. Assuming the existence of gravitational duals, the protocols must have bulk descriptions involving traversable wormholes
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
