Playing nonlocal games across a topological phase transition on a quantum computer
arXiv:2403.04829 · doi:10.1103/PhysRevLett.134.130602
Abstract
Many-body quantum games provide a natural perspective on phases of matter in quantum hardware, crisply relating the quantum correlations inherent in phases of matter to the securing of quantum advantage at a device-oriented task. In this paper we introduce a family of multiplayer quantum games for which topologically ordered phases of matter are a resource yielding quantum advantage. Unlike previous examples, quantum advantage persists away from the exactly solvable point and is robust to arbitrary local perturbations, irrespective of system size. We demonstrate this robustness experimentally on Quantinuum's H1-1 quantum computer by playing the game with a continuous family of randomly deformed toric code states that can be created with constant-depth circuits leveraging mid-circuit measurements and unitary feedback. We are thus able to tune through a topological phase transition - witnessed by the loss of robust quantum advantage - on currently available quantum hardware. This behavior is contrasted with an analogous family of deformed GHZ states, for which arbitrarily weak local perturbations destroy quantum advantage in the thermodynamic limit. Finally, we discuss a topological interpretation of the game, which leads to a natural generalization involving an arbitrary number of players.
4.5 pages, 3 figures
References in corpus (13)
- Topological Order and Conformal Quantum Critical Points
- Computational power of correlations
- Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices
- Quantum Circuits assisted by LOCC: Transformations and Phases of Matter
- A quantum topological phase transition at the microscopic level
- Nishimori's cat: stable long-range entanglement from finite-depth unitaries and weak measurements
- Interplay of Topological Order and Spin Glassiness in the Toric Code under Random Magnetic Fields
- Robust teleportation of a surface code and cascade of topological quantum phase transitions
- Gaining insights on anyon condensation and 1-form symmetry breaking across a topological phase transition in a deformed toric code model
- Playing quantum nonlocal games with six noisy qubits on the cloud
- Quantum computational advantage attested by nonlocal games with the cyclic cluster state
- A multi-player, multi-team nonlocal game for the toric code
- Playing nonlocal games with phases of quantum matter