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

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Summary
This summary is machine-generated.

We optimized quantum circuits to simulate quantum criticality in the quantum Ising model, overcoming finite-size effects for better condensed matter simulations.

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Area of Science:

  • Condensed matter physics
  • Quantum simulation

Background:

  • Quantum criticality is key to novel collective phenomena in condensed matter systems.
  • Simulating quantum critical phenomena is challenging due to diverging correlation lengths and finite-size effects.
  • Tensor network techniques offer a path to simulate systems in the thermodynamic limit.

Purpose of the Study:

  • To optimize translationally invariant, sequential quantum circuits for simulating the quantum Ising model's ground state through its quantum critical point.
  • To demonstrate the simulation of dynamical quantum critical points during quenches across the quantum critical point.
  • To overcome finite-size scaling limitations using infinite matrix product state-inspired circuits.

Main Methods:

  • Optimization of sequential quantum circuits on superconducting quantum devices.
  • Implementation of circuits inspired by infinite matrix product states to avoid finite-size effects.
  • Application of error mitigation strategies for state implementation, optimization, and time-evolution.

Main Results:

  • Successful simulation of the quantum Ising model's ground state through its quantum critical point.
  • Demonstration of simulating dynamical quantum critical points in quantum quenches.
  • Development of efficient circuits and error mitigation techniques for quantum simulations.

Conclusions:

  • Sequential quantum circuits offer a viable method for simulating quantum criticality, bypassing finite-size effects.
  • The developed approach enhances the capability of quantum devices for studying complex condensed matter phenomena.
  • This work provides practical tools and strategies for advancing quantum simulations of critical systems.