Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer

• URL: http://arxiv.org/abs/2205.12996v1
• Date: Wed, 25 May 2022 18:05:53 GMT
• Title: Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer
• Authors: James Dborin, Vinul Wimalaweera, Fergus Barratt, Eric Ostby, Thomas E. O'Brien, Andrew G. Green
• Abstract summary: We simulate the groundstate of the quantum Ising model through its quantum critical point on a superconducting quantum device. Our approach avoids finite-size scaling effects by using sequential quantum circuits inspired by infinite matrix product states.
• Score: 0.11744028458220425
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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