Many-body quantum teleportation via operator spreading in the
traversable wormhole protocol
- URL: http://arxiv.org/abs/2102.00010v2
- Date: Fri, 5 Aug 2022 21:22:29 GMT
- Title: Many-body quantum teleportation via operator spreading in the
traversable wormhole protocol
- Authors: Thomas Schuster, Bryce Kobrin, Ping Gao, Iris Cong, Emil T.
Khabiboulline, Norbert M. Linke, Mikhail D. Lukin, Christopher Monroe, Beni
Yoshida, Norman Y. Yao
- Abstract summary: Recent advances have uncovered an intrinsically many-body generalization of quantum teleportation, with an elegant and surprising connection to gravity.
Here, we propose and analyze a new mechanism for many-body quantum teleportation -- dubbed peaked-size teleportation.
We demonstrate the ubiquity of peaked-size teleportation, both analytically and numerically, across a diverse landscape of physical systems.
- Score: 1.1198195005311917
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: By leveraging shared entanglement between a pair of qubits, one can teleport
a quantum state from one particle to another. Recent advances have uncovered an
intrinsically many-body generalization of quantum teleportation, with an
elegant and surprising connection to gravity. In particular, the teleportation
of quantum information relies on many-body dynamics, which originate from
strongly-interacting systems that are holographically dual to gravity; from the
gravitational perspective, such quantum teleportation can be understood as the
transmission of information through a traversable wormhole. Here, we propose
and analyze a new mechanism for many-body quantum teleportation -- dubbed
peaked-size teleportation. Intriguingly, peaked-size teleportation utilizes
precisely the same type of quantum circuit as traversable wormhole
teleportation, yet has a completely distinct microscopic origin: it relies upon
the spreading of local operators under generic thermalizing dynamics and not
gravitational physics. We demonstrate the ubiquity of peaked-size
teleportation, both analytically and numerically, across a diverse landscape of
physical systems, including random unitary circuits, the Sachdev-Ye-Kitaev
model (at high temperatures), one-dimensional spin chains and a bulk theory of
gravity with stringy corrections. Our results pave the way towards using
many-body quantum teleportation as a powerful experimental tool for: (i)
characterizing the size distributions of operators in strongly-correlated
systems and (ii) distinguishing between generic and intrinsically gravitational
scrambling dynamics. To this end, we provide a detailed experimental blueprint
for realizing many-body quantum teleportation in both trapped ions and Rydberg
atom arrays; effects of decoherence and experimental imperfections are
analyzed.
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