Fully optimised variational simulation of a dynamical quantum phase transition on a trapped-ion quantum computer

• URL: http://arxiv.org/abs/2502.06961v1
• Date: Mon, 10 Feb 2025 19:01:28 GMT
• Title: Fully optimised variational simulation of a dynamical quantum phase transition on a trapped-ion quantum computer
• Authors: Lesley Gover, Vinul Wimalaweera, Fariha Azad, Matthew DeCross, Michael Foss-Feig, Andrew G. Green,
• Abstract summary: We time-evolve a translationally invariant quantum state on the Quantinuum H1-1 trapped-ion quantum processor. This physics requires a delicate cancellation of phases in the many-body wavefunction and presents a tough challenge for current quantum devices. 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.
• Score: 0.039583175274885335
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• Abstract: 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.

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