Fast scramblers are dynamical quantum systems that produce many-body entanglement on a timescale that grows logarithmically with the system size N. We propose and investigate a family of deterministic, fast scrambling quantum circuits realizable in near-term experiments with arrays of neutral atoms. We show that three experimental tools-nearest-neighbor Rydberg interactions, global single-qubit rotations, and shuffling operations facilitated by an auxiliary tweezer array-are sufficient to generate nonlocal interaction graphs capable of scrambling quantum information using only O(logN) parallel applications of nearest-neighbor gates. These tools enable direct experimental access to fast scrambling dynamics in a highly controlled and programmable way and can be harnessed to produce highly entangled states with varied applications.Fast scramblers are dynamical quantum systems that produce many-body entanglement on a timescale that grows logarithmically with the system size N. We propose and investigate a family of deterministic, fast scrambling quantum circuits realizable in near-term experiments with arrays of neutral atoms. We show that three experimental tools-nearest-neighbor Rydberg interactions, global single-qubit rotations, and shuffling operations facilitated by an auxiliary tweezer array-are sufficient to generate nonlocal interaction graphs capable of scrambling quantum information using only O(logN) parallel applications of nearest-neighbor gates. These tools enable direct experimental access to fast scrambling dynamics in a highly controlled and programmable way and can be harnessed to produce highly entangled states with varied applications.

arXiv:2102.13117Physical Review LettersMay 19, 202118 citations

Tuning between collective dynamics and scrambling through initial-state symmetry alignment in long-range spin models

Sridevi Kuriyattil, Johannes Kombe, Andrew J. Daley +1 more

Long-range interactions in many-body quantum systems give rise to a wide range of dynamical phenomena, from collective dynamics well described by integrable mean-field models with symmetric all-to-all couplings, to fast scrambling of quantum information from disordered long-range interactions. Here, we investigate scenarios in which both regimes emerge within a single deterministic, translation-invariant XY spin model with long-range couplings. We consider a sparse powers-of-two (PWR2) graph, where each spin interacts with a logarithmic number of neighbors, and a power-law-decaying model. By altering the initial state via local perturbations on a completely symmetric state, we show that the dynamics changes from collective to scrambling as witnessed by bipartite and multipartite entanglement measures. We characterize this collective-to-scrambling crossover using Lyapunov exponents in the semiclassical regime, and show that the spectral properties of the coupling graph adjacency matrix provide a very efficient tool to predict the onset of fast scrambling. Our results offer a unified framework for controlling the switch between collective and scrambling dynamics in a setup accessible in experiments with neutral atoms in cavities or in tweezer arrays.Long-range interactions in many-body quantum systems give rise to a wide range of dynamical phenomena, from collective dynamics well described by integrable mean-field models with symmetric all-to-all couplings, to fast scrambling of quantum information from disordered long-range interactions. Here, we investigate scenarios in which both regimes emerge within a single deterministic, translation-invariant XY spin model with long-range couplings. We consider a sparse powers-of-two (PWR2) graph, where each spin interacts with a logarithmic number of neighbors, and a power-law-decaying model. By altering the initial state via local perturbations on a completely symmetric state, we show that the dynamics changes from collective to scrambling as witnessed by bipartite and multipartite entanglement measures. We characterize this collective-to-scrambling crossover using Lyapunov exponents in the semiclassical regime, and show that the spectral properties of the coupling graph adjacency matrix provide a very efficient tool to predict the onset of fast scrambling. Our results offer a unified framework for controlling the switch between collective and scrambling dynamics in a setup accessible in experiments with neutral atoms in cavities or in tweezer arrays.

quant-pharXiv:2610.28462Oct 21, 20260 citations

Optimizing the Fast Rydberg Gate

Marianna S. Safronova, Carl J. Williams, Charles W. Clark

Physical Review AJan 1, 20031 citation

Onset of Scrambling as a Dynamical Transition in Tunable-Range Quantum Circuits

Sridevi Kuriyattil, Tomohiro Hashizume, Gregory S. Bentsen +1 more

In a fast-scrambling many-body quantum system, information is spread and entanglement is built up on a time scale that grows logarithmically with the system size.This is of fundamental interest in understanding the dynamics of many-body systems, as well as in efficiently producing entangled resource states and error-correcting codes.In this work, we identify a dynamical transition marking the onset of scrambling in quantum circuits with different levels of long-range connectivity.In particular, we show that as a function of the interaction range for circuits of different structures, the tripartite mutual information exhibits a scaling collapse around a critical point between two clearly defined regimes of different dynamical behavior.We study this transition analytically in a related long-range Brownian-circuit model and show how the transition can be mapped onto the statistical mechanics of a long-range Ising model in a particular region of parameter space.This mapping predicts mean-field critical exponents ν = -1/(1 + s c ), which are consistent with the critical exponents extracted from Clifford-circuit numerics.In addition to systems with conventional power-law interactions, we identify the same phenomenon in deterministic sparse circuits that can be realized in experiments with neutral-atom arrays.In a fast-scrambling many-body quantum system, information is spread and entanglement is built up on a time scale that grows logarithmically with the system size.This is of fundamental interest in understanding the dynamics of many-body systems, as well as in efficiently producing entangled resource states and error-correcting codes.In this work, we identify a dynamical transition marking the onset of scrambling in quantum circuits with different levels of long-range connectivity.In particular, we show that as a function of the interaction range for circuits of different structures, the tripartite mutual information exhibits a scaling collapse around a critical point between two clearly defined regimes of different dynamical behavior.We study this transition analytically in a related long-range Brownian-circuit model and show how the transition can be mapped onto the statistical mechanics of a long-range Ising model in a particular region of parameter space.This mapping predicts mean-field critical exponents ν = -1/(1 + s c ), which are consistent with the critical exponents extracted from Clifford-circuit numerics.In addition to systems with conventional power-law interactions, we identify the same phenomenon in deterministic sparse circuits that can be realized in experiments with neutral-atom arrays.

arXiv:2304.09833PRX QuantumAug 23, 20235 citations

Deterministic atom-shuttle interconnects via ultrafast atom-ion entangling gate

Mu Qiao

Neutral-atom arrays and trapped-ion crystals offer complementary strengths for fault-tolerant quantum computing but lack a fast way to deterministically interact. Here we propose a controlled- $Z$ gate generated by the charge-induced-dipole ( $C_4$ ) force between a Rydberg-excited atom and a trapped ion, balanced by a spin-dependent optical Magnus force on the ion that closes phase-space trajectories within a few microseconds. Toggling the Rydberg state extends the scheme to multi-ion crystals at negligible overhead. The resulting ${\sim}5\,$ kHz atom shuttle accelerates short-distance QCCD links and enables hybrid qLDPC memories in which atom logical qubits are written onto an ion block treated as a passive storage zone. We perform circuit-level Monte Carlo simulations and find that the hybrid architecture supports orders of magnitude more operations than atom-only or ion-only architectures at fixed code distance and logical error rate.Neutral-atom arrays and trapped-ion crystals offer complementary strengths for fault-tolerant quantum computing but lack a fast way to deterministically interact. Here we propose a controlled-$Z$ gate generated by the charge-induced-dipole ($C_4$) force between a Rydberg-excited atom and a trapped ion, balanced by a spin-dependent optical Magnus force on the ion that closes phase-space trajectories within a few microseconds. Toggling the Rydberg state extends the scheme to multi-ion crystals at negligible overhead. The resulting ${\sim}5\,$kHz atom shuttle accelerates short-distance QCCD links and enables hybrid qLDPC memories in which atom logical qubits are written onto an ion block treated as a passive storage zone. We perform circuit-level Monte Carlo simulations and find that the hybrid architecture supports orders of magnitude more operations than atom-only or ion-only architectures at fixed code distance and logical error rate.

quant-pharXiv:2607.15597Jul 20, 20260 citations

Neutral-atom arrays and trapped-ion crystals offer complementary strengths for fault-tolerant quantum computing but lack a fast way to deterministically interact. Here we propose a controlled-

Z

gate generated by the charge-induced-dipole (

C_4

) force between a Rydberg-excited atom and a trapped ion, balanced by a spin-dependent optical Magnus force on the ion that closes phase-space trajectories within a few microseconds. Toggling the Rydberg state extends the scheme to multi-ion crystals at negligible overhead. The resulting

{\sim}5\,

kHz atom shuttle accelerates short-distance QCCD links and enables hybrid qLDPC memories in which atom logical qubits are written onto an ion block treated as a passive storage zone. We perform circuit-level Monte Carlo simulations and find that the hybrid architecture supports orders of magnitude more operations than atom-only or ion-only architectures at fixed code distance and logical error rate.