Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer
arXiv:2205.12996 · doi:10.1038/s41467-022-33737-4
Abstract
We optimise a translationally invariant, sequential quantum circuit on a superconducting quantum device to simulate the groundstate of the quantum Ising model through its quantum critical point. We further demonstrate how the dynamical quantum critical point found in quenches of this model across its quantum critical point can be simulated. Our approach avoids finite-size scaling effects by using sequential quantum circuits inspired by infinite matrix product states. We provide efficient circuits and a variety of error mitigation strategies to implement, optimise and time-evolve these states.
References in corpus (9)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- The density-matrix renormalization group in the age of matrix product states
- Quantum criticality
- Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
- Strong and weak thermalization of infinite non-integrable quantum systems
- Sequential Generation of Matrix-Product States in Cavity QED
- Sequentially generated states for the study of two dimensional systems
- Quantum dynamics simulations beyond the coherence time on NISQ hardware by variational Trotter compression
- Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer
Cited by in corpus (8)
- Quantum Error Mitigation
- Characterizing a non-equilibrium phase transition on a quantum computer
- Optimised Trotter Decompositions for Classical and Quantum Computing
- High-fidelity realization of the AKLT state on a NISQ-era quantum processor
- Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer
- Time Evolution of Uniform Sequential Circuits
- Digital quantum simulation of non-perturbative dynamics of open systems with orthogonal polynomials
- Two Dimensional Isometric Tensor Networks on an Infinite Strip