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Programmable higher-order nonequilibrium topological phases on a superconducting quantum processor.

Haoran Qian1,2,3, Ming Gong1,2,3, Jiahui Zhang4,5

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Researchers implemented higher-order topological phases using a programmable quantum processor. They developed a method to identify unique nonequilibrium topological features, enabling exploration of exotic quantum matter.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Science

Background:

  • Topological phases of matter are crucial for fundamental science and technological applications.
  • Higher-order topological phases exhibit unique properties beyond traditional topological insulators.

Purpose of the Study:

  • To implement equilibrium and nonequilibrium higher-order topological phases.
  • To explore quantum programming of these phases on a superconducting quantum processor.
  • To introduce a universal method for identifying nonequilibrium topological features.

Main Methods:

  • Utilized a two-dimensional programmable superconducting quantum processor.
  • Constructed quantum circuits with over 50 cycles of Floquet operators on a 6x6 qubit array.
  • Measured chiral density dynamics to detect topological features.

Main Results:

  • Successfully implemented both equilibrium and nonequilibrium higher-order topological phases.
  • Demonstrated quantum programming of nonequilibrium higher-order topological phases.
  • Identified Floquet corner topological invariants and π-energy topological corner modes.

Conclusions:

  • Programmable quantum processors can be used to study exotic higher-order topological phases.
  • The developed method provides a universal approach for identifying nonequilibrium topological features.
  • This research advances the exploration of topological matter in quantum systems.