Many-body quantum teleportation via operator spreading in the traversable wormhole protocol
arXiv:2102.00010 · doi:10.1103/PhysRevX.12.031013
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.
41 + 24 pages, 12 figures
References in corpus (18)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Probing many-body dynamics on a 51-atom quantum simulator
- Black holes as mirrors: quantum information in random subsystems
- Ground-to-satellite quantum teleportation
- Quantum Teleportation Between Distant Matter Qubits
- Correcting Quantum Errors with Entanglement
- Measuring entanglement growth in quench dynamics of bosons in an optical lattice
- Measuring entanglement entropy of a generic many-body system with a quantum switch
- Coherent many-body spin dynamics in a long-range interacting Ising chain
- Trapped ion quantum computation with transverse phonon modes
- Designing Frustrated Quantum Magnets with Laser-Dressed Rydberg Atoms
- T-junction ion trap array for two-dimensional ion shuttling, storage and manipulation
- Entanglement spectroscopy on a quantum computer
- Scrambling and Complexity in Phase Space
- Six-point functions and collisions in the black hole interior
- An obstacle to sub-AdS holography for SYK-like models
- Complexity Geometry and Schwarzian Dynamics
- Variational Preparation of the Sachdev-Ye-Kitaev Thermofield Double
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- Diagnosis of information scrambling from Hamiltonian evolution under decoherence
- Deterministic Fast Scrambling with Neutral Atom Arrays
- The Weak Gravity Conjecture Requires the Existence of Exotic AdS Black Holes
- Surprises in the Deep Hilbert Space of all-to-all systems: From super-exponential scrambling to slow entanglement growth
- Proposal for measuring out-of-time-ordered correlators at finite temperature with coupled spin chains
- Measurement-induced phase transition in teleportation and wormholes
- Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
- Towards Quantum Gravity in the Lab on Quantum Processors
- Long-Range Bell States from Local Measurements and Many-Body Teleportation without Time-Reversal
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- Size Winding Mechanism beyond Maximal Chaos
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- SYK model based regime dependent two-qubit dynamical wormhole-inspired teleportation protocol simulation
- Two-local modifications of SYK model with quantum chaos
- Dynamics of Loschmidt echoes from operator growth in noisy quantum many-body systems
- Connecting Magic Dynamics in Thermofield Double States to Spectral Form Factors
- Sparse SYK and traversable wormholes
- Tensor Product Structure Geometry under Unitary Channels
- Sachdev-Ye-Kitaev physics from the Hubbard model: A Floquet engineering approach
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- Entanglement production in the Sachdev-Ye-Kitaev Model and its variants