Bound on quantum scrambling with all-to-all interactions

Abstract

We prove bounds on operator growth and infinite temperature out-of-time-ordered correlators in many-body systems with $N$ spin-$\frac{1}{2}$ degrees of freedom which interact via two-body all-to-all interactions. Our results parametrically improve previous bounds, and sharply constrain when and how quantum simulators, including trapped ion crystals and cavity quantum electrodynamics, can study quantum gravity.

8 pages. v2: added result on tightness. v3: published version

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Cited by in corpus (26)

• Minimal Model for Fast Scrambling
• Speed limits and locality in many-body quantum dynamics
• Absence of fast scrambling in thermodynamically stable long-range interacting systems
• Information scrambling vs. decoherence -- two competing sinks for entropy
• Imaginary components of out-of-time correlators and information scrambling for navigating the learning landscape of a quantum machine learning model
• Quantum operator growth bounds for kicked tops and semiclassical spin chains
• Fast scrambling without appealing to holographic duality
• Many-body quantum dynamics slows down at low density
• Finite speed of quantum information in models of interacting bosons at finite density
• Optimal Frobenius light cone in spin chains with power-law interactions
• Surprises in the Deep Hilbert Space of all-to-all systems: From super-exponential scrambling to slow entanglement growth
• The Timescales of Quantum Breaking
• Krylov complexity for non-local spin chains
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• Operator growth bounds in a cartoon matrix model
• Planckian properties of 2D semiconductor systems
• Information Scrambling and the Correspondence of Entanglement- and Operator Dynamics in Systems with Nonlocal Interactions
• Fast and Accurate Greenberger-Horne-Zeilinger Encoding Using All-to-all Interactions
• Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system
• Time optimal quantum state transfer in a fully-connected quantum computer
• Fast scrambling dynamics and many-body localization transition in an all-to-all disordered quantum spin model
• Signatures of Integrability and Exactly Solvable Dynamics in an Infinite-Range Many-Body Floquet Spin System
• Out-of-time-order correlator computation based on discrete truncated Wigner approximation
• Information scrambling of the dilute Bose gas at low temperature
• Experimental Measurement of Out-of-Time-Ordered Correlators at Finite Temperature
• Revealing effects of local dimension on variable-range interacting model by connecting Lieb-Robinson bounds and multipartite entanglement