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Realizing topologically ordered states on a quantum processor
K J Satzinger1, Y-J Liu2,3, A Smith2,4,5
1Google Quantum AI, Mountain View, CA, USA.
Science (New York, N.Y.)
|December 2, 2021
Summary
Researchers created a topologically ordered ground state using a superconducting quantum processor. This work advances quantum error correction and the study of topological quantum matter.
Area of Science:
- Quantum Physics
- Condensed Matter Physics
- Quantum Information Science
Background:
- Topological order fundamentally changed our understanding of quantum matter.
- It also laid the groundwork for quantum error correction codes.
- Creating topologically ordered states is difficult in both condensed matter and synthetic systems.
Purpose of the Study:
- To experimentally realize the ground state of the toric code Hamiltonian.
- To investigate topological entanglement entropy and emergent excitation braiding statistics.
- To explore key aspects of surface codes relevant to quantum computing.
Main Methods:
- Implementation of an efficient quantum circuit on a superconducting quantum processor.
- Measurement of topological entanglement entropy.
- Simulation of anyon interferometry for braiding statistics extraction.
- Investigation of logical state injection and order parameter decay in surface codes.
Main Results:
- Successful preparation of the toric code ground state.
- Measurement of topological entanglement entropy close to the theoretical value of –ln2.
- Extraction of braiding statistics of emergent excitations via anyon interferometry.
- Analysis of surface code properties, including logical state injection and order parameter decay.
Conclusions:
- Quantum processors can provide valuable insights into topological quantum matter.
- This research demonstrates the potential of quantum processors for advancing quantum error correction.
- The experimental realization and characterization of topological states pave the way for future quantum technologies.
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