Fully optimised variational simulation of a dynamical quantum phase transition on a trapped-ion quantum computer
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911697670766592 |
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| author | Gover, Lesley Wimalaweera, Vinul Azad, Fariha DeCross, Matthew Foss-Feig, Michael Green, Andrew G. |
| author_facet | Gover, Lesley Wimalaweera, Vinul Azad, Fariha DeCross, Matthew Foss-Feig, Michael Green, Andrew G. |
| contents | We time-evolve a translationally invariant quantum state on the Quantinuum H1-1 trapped-ion quantum processor, studying the dynamical quantum phase transition of the transverse field Ising model. This physics requires a delicate cancellation of phases in the many-body wavefunction and presents a tough challenge for current quantum devices. We follow the dynamics using a quantum circuit matrix product state ansatz, optimised for the time-evolution using a fidelity cost function. Sampling costs are mitigated by using the measured values of this circuit as stochastic corrections to a simple classical extrapolation of the ansatz parameters. Our results demonstrate the feasibility of variational quantum time-evolution and reveal a hitherto hidden simplicity of the evolution of the transverse-field Ising model through the dynamical quantum phase transition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06961 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fully optimised variational simulation of a dynamical quantum phase transition on a trapped-ion quantum computer Gover, Lesley Wimalaweera, Vinul Azad, Fariha DeCross, Matthew Foss-Feig, Michael Green, Andrew G. Quantum Physics We time-evolve a translationally invariant quantum state on the Quantinuum H1-1 trapped-ion quantum processor, studying the dynamical quantum phase transition of the transverse field Ising model. This physics requires a delicate cancellation of phases in the many-body wavefunction and presents a tough challenge for current quantum devices. We follow the dynamics using a quantum circuit matrix product state ansatz, optimised for the time-evolution using a fidelity cost function. Sampling costs are mitigated by using the measured values of this circuit as stochastic corrections to a simple classical extrapolation of the ansatz parameters. Our results demonstrate the feasibility of variational quantum time-evolution and reveal a hitherto hidden simplicity of the evolution of the transverse-field Ising model through the dynamical quantum phase transition. |
| title | Fully optimised variational simulation of a dynamical quantum phase transition on a trapped-ion quantum computer |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2502.06961 |