Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator

Abstract

A quantum simulator is a restricted class of quantum computer that controls the interactions between quantum bits in a way that can be mapped to certain difficult quantum many-body problems. As more control is exerted over larger numbers of qubits, the simulator can tackle a wider range of problems, with the ultimate limit being a universal quantum computer that can solve general classes of hard problems. We use a quantum simulator composed of up to 53 qubits to study a non-equilibrium phase transition in the transverse field Ising model of magnetism, in a regime where conventional statistical mechanics does not apply. The qubits are represented by trapped ion spins that can be prepared in a variety of initial pure states. We apply a global long-range Ising interaction with controllable strength and range, and measure each individual qubit with near 99% efficiency. This allows the single-shot measurement of arbitrary many-body correlations for the direct probing of the dynamical phase transition and the uncovering of computationally intractable features that rely on the long-range interactions and high connectivity between the qubits.

arXiv comment8 pages, 6 figures

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• A double-slit proposal for quantum annealing
• Cooling arbitrary near-critical systems using hyperbolic quenches
• A stroboscopic approach to trapped-ion quantum information processing with squeezed phonons
• Experimental Hamiltonian Learning of An 11-qubit Solid-State Quantum Spin Register
• Harmonically confined long-ranged interacting gas in the presence of a hard wall
• A high-fidelity method for a single-step $N$-bit Toffoli gate in trapped ions
• Dynamics of coherence: Maximal quantum Fisher information vs. Loschmidt echo
• Motional heating of spatially extended ion crystals
• Single-Particle Decoherence Can Improve Spin-Squeezing Generated In Collective Dynamics
• Consequences of integrability breaking in quench dynamics of pairing Hamiltonians
• Natural parameterized quantum circuit
• Micromotion-Enhanced Fast Entangling Gates For Trapped Ion Quantum Computing
• Higher-Order Methods for Hamiltonian Engineering Pulse Sequence Design
• Adiabatic quantum simulations with driven superconducting qubits
• Hamiltonian sparsification and gap-simulations
• Mechanism of dynamical phase transitions: The complex-time survival amplitude
• Overhead-constrained circuit knitting for variational quantum dynamics
• Multi-Level Variational Spectroscopy using a Programmable Quantum Simulator
• Efficient realization of quantum primitives for Shor's algorithm using PennyLane library
• Wehrl entropy production rate across a dynamical quantum phase transition
• Quantum circuits for the realization of equivalent forms of one-dimensional discrete-time quantum walks on near-term quantum hardware
• A scheme to create and verify scalable entanglement in optical lattice
• Open source Matrix Product States: Exact diagonalization and other entanglement-accurate methods revisited in quantum systems
• Metamorphic dynamical quantum phase transition in double-quench processes at finite temperatures
• Genuine quantum scars in many-body spin systems
• Spatio-temporal spread of perturbations in power-law models at low temperatures: Exact results for OTOC
• Near-Term Quantum-Classical Associative Adversarial Networks
• Fundamental limitations for measurements in quantum many-body systems
• Geometrical quench and dynamical quantum phase transition in the $\alpha -T_3$ lattice
• Quantum teleportation of an elemental silicon nanophotonic CNOT gate
• Reliability of lattice gauge theories in the thermodynamic limit
• Exact thermal properties of free-fermionic spin chains
• Engineering Higgs dynamics by spectral singularities
• Emergent Continuous Time Crystal in Dissipative Quantum Spin System without Driving
• Atomic properties of actinide ions with particle-hole configurations
• Quantum aging and dynamical universality in the long-range $O(N\to \infty )$ model
• Analysis of lower bounds for quantum control times and their relation to the quantum speed limit
• Characterization of Suspended Membrane Waveguides towards a Photonic Atom Trap Integrated Platform
• Site-by-site quantum state preparation algorithm for preparing vacua of fermionic lattice field theories
• Non-equilibrium non-Markovian steady-states in open quantum many-body systems: Persistent oscillations in Heisenberg quantum spin chains
• Benchmarking a novel efficient numerical method for localized 1D Fermi-Hubbard systems on a quantum simulator
• Vacuum Characterization of a Compact Room-temperature Trapped Ion System
• Scalable improvement of the generalized Toffoli gate realization using trapped-ion-based qutrits
• Effective spin-spin interactions in bilayers of Rydberg atoms and polar molecules
• Steady helix states in a resonant XXZ Heisenberg model with Dzyaloshinskii-Moriya interaction
• Ultra-fast two-qubit ion gate using sequences of resonant pulses
• Relationship between the transverse-field Ising model and the XY model via the rotating-wave approximation
• Quantum thermodynamics of nonequilibrium processes in lattice gauge theories
• Signal processing techniques for efficient compilation of controlled rotations in trapped ions
• Dynamical quantum phase transition in diamond: applications in quantum metrology
• Aging dynamics in quenched noisy long-range quantum Ising models
• Dynamics of the Geometric Phase in Inhomogeneous Quantum Spin Chains
• Late-time critical behavior of local string-like observables under quantum quenches
• A room-temperature ion trapping apparatus with hydrogen partial pressure below $10^{-11}$ mBar
• Statistical Benchmarking of Scalable Photonic Quantum Systems
• Robustness of Variational Quantum Algorithms against stochastic parameter perturbation
• Systematic Analysis of Crystalline Phases in Bosonic Lattice Models with Algebraically Decaying Density-Density Interactions
• Violation of Eigenstate Thermalization Hypothesis in Quantum Field Theories with Higher-Form Symmetry
• Unitary Subharmonic Response and Floquet Majorana Modes
• Role of collective information in networks of quantum operating agents
• Circuit QED-based measurement of vortex lattice order in a Josephson junction array
• Global Variational Quantum Circuits for Arbitrary Symmetric State Preparation
• Probabilistic Eigensolver with a Trapped-Ion Quantum Processor
• Time fractals and discrete scale invariance with trapped ions
• Bilayer crystals of trapped ions for quantum information processing
• Achieving continuously tunable critical exponents for long-range spin systems simulated with trapped ions
• Probing the Possibilities of Ergodicity in the 1D Spin-1/2 XY Chain with Quench Dynamics
• Detecting quantum phase transitions in the quasi-stationary regime of Ising chains
• Sampling scheme for neuromorphic simulation of entangled quantum systems
• Stabilization of Qubit Relaxation Rates by Frequency Modulation
• Chiral spin currents in a trapped-ion quantum simulator using Floquet engineering
• Experimental observation of spontaneous symmetry breaking in a quantum phase transition
• Universal dynamics of superradiant phase transition in the anisotropic quantum Rabi model
• Probing dynamical criticality near quantum phase transitions
• Resource theory of heat and work with non-commuting charges
• Provable quantum state tomography via non-convex methods
• Lie-algebraic approach to one-dimensional translationally invariant free-fermionic dissipative systems
• Quantum cellular automata for quantum error correction and density classification
• Uhlmann quench and geometric dynamic quantum phase transition of mixed states
• Individual-Ion Addressing and Readout in a Penning Trap
• Low-temperature environments for quantum computation and quantum simulation
• Emergent entanglement structures and self-similarity in quantum spin chains
• Locally purified density operators for noisy quantum circuits
• Observation of anisotropy-independent magnetization dynamics in spatially disordered Heisenberg spin systems
• Robust Polarization Gradient Cooling of Trapped Ions
• Universal logarithmic correction to Rényi (Shannon) entropy in generic systems of critical quadratic fermions
• Deterministic multi-mode nonlinear coupling for quantum circuits
• Quantum Zeno Effect in Noisy Integrable Quantum Circuits for Impurity Models
• Strong entanglement of spins inside a quantum domain wall
• Semiclassical approach to finite temperature quantum annealing with trapped ions
• Many-body entanglement and topology from uncertainties and measurement-induced modes
• Fractional resonances and prethermal states in Floquet systems
• The Coming Decades of Quantum Simulation
• Ion native variational ansatz for quantum approximate optimization
• Meson content of entanglement spectra after integrable and nonintegrable quantum quenches
• Dissipative stabilization of entangled qubit pairs in quantum arrays with a single localized dissipative channel
• Thermalization of long range Ising model in different dynamical regimes: a full counting statistics approach
• Collision-resolved pressure sensing
• Thermal Area Law in Long-Range Interacting Systems
• Simulating long-range hopping with periodically-driven superconducting qubits
• Benchmarking Quantum Computers: Towards a Standard Performance Evaluation Approach
• Fisher zeroes and dynamical quantum phase transitions for two- and three-dimensional models
• Fermion-induced Dynamical Critical Point
• Roughening dynamics of interfaces in the two-dimensional quantum Ising model
• Generating Target Graph Couplings for QAOA from Native Quantum Hardware Couplings
• Realizing a class of stabilizer quantum error correction codes using a single ancilla and circular connectivity
• RF-induced heating dynamics of non-crystallized trapped ions
• Universal Counterdiabatic Driving
• Measuring energy by measuring any other observable
• Phonon-induced electronic relaxation in a strongly correlated system: the Sn/Si(111) $(\sqrt{3}\times \sqrt{3})$ adlayer revisited
• Comparison of Spontaneous Emission in Trapped Ion Multiqubit Gates at High Magnetic Fields
• Single-photon pulse induced giant response in N$>$100 qubit system
• The quantum annealing gap and quench dynamics in the exact cover problem
• Noise-robust exploration of many-body quantum states on near-term quantum devices
• Quantum advantage from energy measurements of many-body quantum systems
• Robustness and eventual slow decay of bound states of interacting microwave photons in the Google Quantum AI experiment
• Entanglement and dynamical phase transition in a spin-orbit-coupled Bose-Einstein condensate
• Quantum Coherence in Ergodic and Many-Body Localized Systems
• Disorder-induced dynamical Griffiths singularities after certain quantum quenches
• Pair correlation function of the one-dimensional Riesz gas
• Quantum annealing of a frustrated magnet
• Simplicity of mean-field theories in neural quantum states
• Hybrid Exchange Measurement-Based Qubit Operations in Semiconductor Double Quantum Dot Qubits
• A learning algorithm with emergent scaling behavior for classifying phase transitions
• Many-Body Physics in Small Systems: Observing the Onset and Saturation of Correlation in Linear Atomic Chains
• Aperiodic dynamical quantum phase transitions in multi-band Bloch Hamiltonian and its origin
• Quantum error correction for long chains of trapped ions
• Geometric Entanglement and Quantum Phase Transition in Generalized Cluster-XY models
• Phase-transition-like behavior in information retrieval of a quantum scrambled random circuit system
• Measurement of the order parameter and its spatial fluctuations across Bose-Einstein condensation
• A modular entanglement-based quantum computer architecture
• Inherent quantum resources in stationary spin chains
• Time optimal quantum state transfer in a fully-connected quantum computer
• Rapid production of defect-free beryllium ion Coulomb crystals
• Kernel-Function Based Quantum Algorithms for Finite Temperature Quantum Simulation
• Quantum memory at an eigenstate phase transition in a weakly chaotic model
• Coherence-preserving cooling of nuclear spin qubits in a weak magnetic field
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model
• Scheme to Detect the Strong-to-weak Symmetry Breaking via Randomized Measurements
• Is Schrödinger's Cat Alive?
• Coined quantum walks on the line: Disorder, entanglement, and localization
• Robust unidirectional phantom helix states in the XXZ Heisenberg model with Dzyaloshinskii-Moriya interaction
• Dynamics of decoherence in a noisy driven environment
• Efficient site-resolved imaging and spin-state detection in dynamic two-dimensional ion crystals
• Vortex loop dynamics and dynamical quantum phase transitions in 3D fermion matter
• High-precision tomography of ion qubits based on registration of fluorescent photons
• Reducing backaction when measuring temporal correlations in quantum systems
• Conditions for superdecoherence
• More current with less particles due to power-law hopping
• Stable dynamic helix state in the nonintegrable XXZ Heisenberg model
• Transport through a quantum critical system: A thermodynamically consistent approach
• Exploring quantum ergodicity of unitary evolution through the Krylov approach
• Simple Hamiltonian dynamics is a powerful quantum processing resource
• Dynamical potentials for non-equilibrium quantum many-body phases
• Lattice Defects in Rydberg Atom Arrays
• Controlling quantum many-body systems using reduced-order modelling
• Observation of quantum temporal correlations well beyond Luders bound
• Quantum coherence assisted dynamical phase transition
• Engineering holography with stabilizer graph codes
• Dynamical quantum phase transitions from random matrix theory
• Locality of gapped ground states in systems with power-law decaying interactions
• Noise-aware variational eigensolvers: a dissipative route for lattice gauge theories
• Two ultracold highly magnetic atoms in a one-dimensional harmonic trap
• Coarse-grained spectral projection (CGSP): a deep learning-assisted approach to quantum unitary dynamics
• Optically Controlled Entangling Gates in Randomly Doped Silicon
• Boiling Quantum Vacuum: Thermal Subsystems from Ground-State Entanglement
• A protocol to characterize errors in quantum simulation of many-body physics
• Majorana modes in trapped-ion system and their Floquet engineering
• Full counting statistics of 1d short-range Riesz gases in confinement
• Regulating spin reversal in dipolar systems by the quadratic Zeeman effect
• Quantum supremacy with analog quantum processors for material science and machine learning
• Experimental demonstration of spontaneous symmetry breaking with emergent multi-qubit entanglement
• From Complexification to Self-Similarity: New Aspects of Quantum Criticality
• Quantum Simulation of Quantum Phase Transitions Using the Convex Geometry of Reduced Density Matrices
• General, efficient, and robust Hamiltonian engineering
• Spatio-temporal fluctuations in the passive and active Riesz gas on the circle
• Loschmidt echo zeros in finite-size quantum systems with linear quench
• Logarithmic growth of local entropy and total correlations in many-body localized dynamics
• Non-equilibrium dynamics of fluctuations in an ultra-cold atomic mixture
• Emerging topological characterization in non-equilibrium states of quenched Kitaev chains
• Quantum computing hardware in the cloud: Should a computational chemist care?
• Generalized Gibbs ensembles in weakly interacting dissipative systems and digital quantum computers
• Quasiballistic transport in long-range anisotropic Heisenberg model
• A Quantum Simulator Based on Locally Controlled Logical Systems
• Uhlmann Fidelity and Fidelity Susceptibility for Integrable Spin Chains at Finite Temperature: Exact Results
• Dynamical Zeeman resonance in spin-orbit-coupled spin-1 Bose gases
• Neural-network quantum state study of the long-range antiferromagnetic Ising chain
• Quantum purification spectroscopy
• Simulation of chiral motion of excitation within the ground-state manifolds of neutral atoms
• Spontaneous symmetry breaking in a $SO(3)$ non-Abelian lattice gauge theory in $2+1$D with quantum algorithms
• Late-time ensembles of quantum states in quantum chaotic systems
• Thermal-bath effects in quantum quenches within quantum critical regimes
• Geometry effect of the dynamical quantum phase transitions at finite temperatures
• The failure of semiclassical approach in the dissipative fully-connected Ising model
• Probing Entanglement Dynamics in the SYK Model using Quantum Computers
• Exact Model Reduction for Continuous-Time Open Quantum Dynamics
• Signatures of Integrability and Exactly Solvable Dynamics in an Infinite-Range Many-Body Floquet Spin System
• Thermal entanglement of superconducting qubits for arbitrary interaction strength
• General theory for discrete symmetry-breaking equilibrium states
• A simplified Mølmer-Sørensen gate for the trapped ion quantum computer
• Empirical determination of the simulation capacity of a near-term quantum computer
• Probing Majorana Modes via Local Spin Dynamics
• Quantum Reservoir Computing for Realized Volatility Forecasting
• Invariance of success probability in Grover's quantum search under local noise with memory
• Dynamical phase transition of light in time-varying nonlinear dispersive media
• Dynamical dimerization phase in Jaynes-Cummings lattices
• Quantum simulation of quantum mechanical system with spatial noncommutativity
• Absence of Correlations in Dissipative Interacting Qubits: a No-Go Theorem
• Provably Efficient Simulation of 1D Long-Range Interacting Systems at Any Temperature
• Energy diffusion in the long-range interacting spin systems
• Kicked-Ising Quantum Battery
• Demonstration of a MOT in a Sub-Millimeter Membrane Hole
• Universal Hamiltonian simulators in one and two dimensions
• Investigating the quench dynamics of the bound states in a spin-orbital coupling system using a trapped ion
• Macroproperties vs. Microstates in the Classical Simulation of Critical Phenomena in Quench Dynamics of 1D Ising Models
• Lieb-Robinson Bounds on Entanglement Gaps from Symmetry-Protected Topology
• Superconducting phase in the BCS model with imaginary magnetic field. III. Non-vanishing free dispersion relations
• Supervised binary classification of small-scale digit images and weighted graphs with a trapped-ion quantum processor
• Adiabatic Sensing Enhanced by Quantum Criticality
• Shannon entropy in quasiparticle states of quantum chains
• Dynamical deconfinement transition driven by density of excitations
• Entangled quantum cellular automata, physical complexity, and Goldilocks rules
• Non-stationarity and Dissipative Time Crystals: Spectral Properties and Finite-Size Effects
• Speedup of thermodynamic entropy production via quantum dynamical criticality
• Exact zeros of fidelity in finite-size systems as a signature for probing quantum phase transitions
• Quantum thermal machine regimes in the transverse-field Ising model
• Efimov Effect in Long-range Quantum Spin Chains
• Adaptively partitioned analog quantum simulation on near-term quantum computers: The nonclassical free-induction decay of NV centers in diamond
• Entanglement in the Quantum Spherical Model -- a Review
• Decoherence in Exchange-Coupled Quantum Spin Qubit Systems: Impact of Multiqubit Interactions and Geometric Connectivity
• Crossover in densities of confined particles with finite range of interaction
• Feasibility of the ion-trap simulation of a class of non-equilibrium phase transitions
• Preparing spin-squeezed states in Rydberg atom arrays via quantum optimal control
• Effect of long-range hopping on dynamic quantum phase transitions of an exactly solvable free-fermion model: Nonanalyticities at almost all times
• Proposal for realizing quantum-spin systems on a two-dimensional square lattice with Dzyaloshinskii-Moriya interaction by Floquet engineering using Rydberg atoms
• Non-equilibrium critical scaling and universality in a quantum simulator
• Universal quantum computation and quantum error correction with ultracold atomic mixtures
• Measurement-induced criticality in extended and long-range unitary circuits
• Matrix-Completion Quantum State Tomography
• Achieving the quantum field theory limit in far-from-equilibrium quantum link models
• Boundary-induced singularity in strongly-correlated quantum systems at finite temperature
• Entanglement gap in 1D long-range quantum spherical models
• Individual addressing of ion qubits with counter-propagating optical frequency combs
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $\lambda {\varphi }^4$ model
• Tunable superdiffusion in integrable spin chains using correlated initial states
• Qubits on programmable geometries with a trapped-ion quantum processor
• Quantum fidelity kernel with a trapped-ion simulation platform
• Quantum computation with logical gates between hot systems
• Relaxation dynamics in the alternating XY chain following a quantum quench
• Sample complexity of matrix product states at finite temperature
• Variational simulation of higher-spin systems on qubit-based quantum simulators
• Continuous time crystals as a PT symmetric state and the emergence of critical exceptional points
• Dynamical Phase Transitions, Caustics, and Quantum Dark Bands
• Ballistic Entanglement Cloud after a Boundary Quench
• Transpiling quantum assembly language circuits to a qudit form
• Classical periodic trajectories and quantum scars in many-spin systems
• Mitigating Errors in Analog Quantum Simulation by Hamiltonian Reshaping or Hamiltonian Rescaling
• Emergent dynamical quantum phase transition in a $Z_3$ symmetric chiral clock model
• Dynamical Spreading and Memory Retention Under Power Law Potential
• Correcting and extending Trotterized quantum many-body dynamics
• Staircase in magnetization and entanglement entropy of spin squeezed condensates
• Geometric Quantum Gates of Non-closed Paths Under Counterdiabatic Driving
• Configurable photonic simulator for quantum field dynamics
• Simulating one hundred entangled atoms using projected-interacting full configuration interaction wavefunctions corrected by projected density functionals
• Observation of synchronization between two quantum van der Pol oscillators in trapped ions
• Aging of coupled qubits
• Universality in Non-Equilibrium Quantum Systems
• Quantum simulation scheme of two-dimensional xy-model Hamiltonian with controllable coupling
• Asymmetry and dynamical criticality
• Evolution of quantum geometric tensor of 1D periodic systems after a quench
• Chaos, thermalization and breakdown of quantum-classical correspondence in a collective many-body system
• Phase structure of the one-dimensional ${\mathbb{Z}}_2$ lattice gauge theory with second nearest-neighbor interactions
• Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits
• Dynamical Quantum Phase Transitions and Many-Body Backflow in Open Quantum Systems
• A Dynamical Bulk-Boundary Correspondence in Two Dimensional Topological Matter
• Analog Circuit-QED Simulator of Quantum Spin Dynamics Through the Extended Bose-Hubbard Model
• Anatomy of Non-Hermitian Dynamical Quantum Phase Transitions
• Dynamical quantum phase transitions on random networks
• Work and heat exchanged during sudden quenches of strongly coupled quantum systems
• Low-Crosstalk, Silicon-Fabricated Optical Waveguides for Laser Delivery to Matter Qubits
• Noise-resilient and resource-efficient hybrid algorithm for robust quantum gap estimation
• Criticality of the magnon-bound-state hierarchy for the quantum Ising chain with the long-range interactions
• Realizing Topological Quantum Walks on NISQ Digital Quantum Computer
• Revealing effects of local dimension on variable-range interacting model by connecting Lieb-Robinson bounds and multipartite entanglement
• Observation of strong and weak thermalization in a superconducting quantum processor
• Characterizing dynamical phase transitions in a spinor Bose-Einstein condensate via quantum and semiclassical analyses
• Certification of spin-based quantum simulators
• Variational quantum simulation of the quantum critical regime
• Interaction quenches in Bose gases studied with a time-dependent hypernetted-chain Euler-Lagrange method
• Ramsey interferometry of Rydberg ensembles inside microwave cavities
• Optimal quantum spatial search with one-dimensional long-range interactions
• Realization of two-dimensional crystal of ions in a monolithic Paul trap
• Dynamical quantum phase transitions in strongly correlated two-dimensional spin lattices following a quench
• Classical Simulation of High Temperature Quantum Ising Models
• Quantum Chaos and Universal Trotterisation Behaviours in Digital Quantum Simulations
• Relativistic meson spectra on ion-trap quantum simulators
• Preparation of Many-body Ground States by Time Evolution with Variational Microscopic Magnetic Fields and Incomplete Interactions
• Quantum Computation
• Perturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse Fields
• Nonequilibrium Dynamics in a Quantum Spin Chain with Pump-Probe Resonant Inelastic X-ray Scattering