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  "path": "/papers/q-2026-05-20-2109/",
  "publishedAt": "2026-05-20T09:31:15.000Z",
  "site": "https://quantum-journal.org",
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    "https://doi.org/10.22331/q-2026-05-20-2109"
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  "textContent": "Quantum 10, 2109 (2026).\n\nhttps://doi.org/10.22331/q-2026-05-20-2109\n\nWe 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"
}