Statistics of topological defects across a phase transition in a digital superconducting quantum processor
arXiv:2410.06250 · doi:10.1088/2058-9565/addf75
Abstract
When a quantum phase transition is crossed within a finite time, critical slowing down disrupts adiabatic dynamics, resulting in the formation of topological defects. The average density of these defects scales with the quench rate, adhering to a universal power law as predicted by the Kibble-Zurek mechanism (KZM). In this study, we aim to investigate the counting statistics of kink density in the 1D transverse-field quantum Ising model. We demonstrate on multiple quantum processing units up to 100 qubits, that higher-order cumulants follow a universal power law scaling as a function of the quench time. We also show the breakdown of the KZM for short quenches for finite-size systems. Tensor network simulations corroborate our quantum simulation results for bigger systems not in the asymptotic limit.
7 pages, 5 figures
References in corpus (50)
- Nonequilibrium dynamics of closed interacting quantum systems
- Logical quantum processor based on reconfigurable atom arrays
- Optimal Hamiltonian Simulation by Quantum Signal Processing
- Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
- Quantum error correction below the surface code threshold
- Dynamics of quantum phase transition: exact solution in quantum Ising model
- Quantum Error Mitigation
- Toward the first quantum simulation with quantum speedup
- Noise tailoring for scalable quantum computation via randomized compiling
- Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
- A Theory of Trotter Error
- A random compiler for fast Hamiltonian simulation
- Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
- Coherent quantum annealing in a programmable 2000-qubit Ising chain
- Heisenberg-limited ground state energy estimation for early fault-tolerant quantum computers
- Model-free readout-error mitigation for quantum expectation values
- Fundamental limits of quantum error mitigation
- Mitigating depolarizing noise on quantum computers with noise-estimation circuits
- Time-dependent Hamiltonian simulation with -norm scaling
- Quantum phase transition dynamics in the two-dimensional transverse-field Ising model
- Early Fault-Tolerant Quantum Computing
- Universal Statistics of Topological Defects Formed in a Quantum Phase Transition
- Quantum computing of the Li nucleus via ordered unitary coupled clusters
- Simulation of Collective Neutrino Oscillations on a Quantum Computer
- Long-distance transmon coupler with CZ gate fidelity above
- Full Counting Statistics of Topological Defects After Crossing a Phase Transition
- Simulating the dynamics of time-dependent Hamiltonians with a truncated Dyson series
- Symmetry breaking bias and the dynamics of a quantum phase transition
- Constructing Smaller Pauli Twirling Sets for Arbitrary Error Channels
- Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition
- Experimentally testing quantum critical dynamics beyond the Kibble-Zurek mechanism
- Hybridized Methods for Quantum Simulation in the Interaction Picture
- Efficient quantum readout-error mitigation for sparse measurement outcomes of near-term quantum devices
- Kibble-Zurek Dynamics in a Trapped Ultracold Bose Gas
- Enhancing quantum utility: simulating large-scale quantum spin chains on superconducting quantum computers
- Benchmarking digital quantum simulations above hundreds of qubits using quantum critical dynamics
- From square plaquettes to triamond lattices for SU(2) gauge theory
- Statistical phase estimation and error mitigation on a superconducting quantum processor
- Finite-size criticality in fully connected spin models on superconducting quantum hardware
- Importance sampling for stochastic quantum simulations
- Large Deviations Beyond the Kibble-Zurek Mechanism
- Adaptive Trotterization for time-dependent Hamiltonian quantum dynamics using piecewise conservation laws
- Quantum error mitigation for Fourier moment computation
- Early Fault-Tolerant Quantum Algorithms in Practice: Application to Ground-State Energy Estimation
- Efficient and practical Hamiltonian simulation from time-dependent product formulas
- A polynomial-time classical algorithm for noisy quantum circuits
- Quantum simulation of time-dependent Hamiltonians via commutator-free quasi-Magnus operators
- Technology and Performance Benchmarks of IQM's 20-Qubit Quantum Computer
- Hamiltonian Simulation in the Interaction Picture Using the Magnus Expansion
- The quantum Kibble-Zurek mechanism: the role of boundary conditions, endpoints and kink types