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Playing Nonlocal Games across a Topological Phase Transition on a Quantum Computer
Oliver Hart1, David T Stephen1,2, Dominic J Williamson3
1University of Colorado Boulder, Department of Physics and Center for Theory of Quantum Matter, Boulder, Colorado 80309, USA.
Physical Review Letters
|April 18, 2025
Summary
Topologically ordered phases of matter offer quantum advantage in new multiplayer quantum games. This advantage is robust to perturbations and demonstrated experimentally on quantum hardware, unlike other quantum states.
Area of Science:
- Quantum Information Science
- Condensed Matter Physics
- Quantum Computing
Background:
- Many-body quantum games link quantum phases of matter to quantum advantage.
- Topological phases of matter possess inherent quantum correlations crucial for quantum advantage.
Purpose of the Study:
- Introduce a family of multiplayer quantum games utilizing topological phases as a resource for quantum advantage.
- Investigate the robustness of quantum advantage against local perturbations in these games.
- Experimentally demonstrate the concept on current quantum hardware.
Main Methods:
- Developed a family of multiplayer quantum games based on topological phases.
- Utilized topologically ordered states, specifically deformed toric codes, as a resource.
- Implemented experiments on Quantinuum's H1-1 quantum computer using midcircuit measurements and feedback.
- Introduced arbitrary local perturbations to test robustness.
Main Results:
- Quantum advantage was observed and persisted away from exactly solvable points.
- The quantum advantage demonstrated robustness against arbitrary local perturbations, irrespective of system size.
- A topological phase transition was observed, marked by the loss of robust quantum advantage.
- Deformed Greenberger-Horne-Zeilinger states showed a loss of quantum advantage under weak perturbations.
Conclusions:
- Topologically ordered phases of matter are a robust resource for quantum advantage in multiplayer quantum games.
- Experimental validation on current quantum hardware confirms the theoretical predictions.
- The findings highlight the potential of topological quantum computing for practical applications.
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