Realization of fermionic Laughlin state on a quantum processor.

Area of Science:

• Condensed Matter Physics
• Quantum Information Science
• Quantum Computing

Background:

• Topological phases of matter are crucial for quantum technologies but difficult to study in materials.
• Engineered quantum platforms offer a way to simulate and control these exotic states.
• The Laughlin state is a fundamental topological phase, but its fermionic version has not been realized on quantum processors.

Purpose of the Study:

• To experimentally realize the ν = 1/3 fermionic Laughlin state on a quantum processor.
• To demonstrate the feasibility of simulating material-intrinsic topological orders using digital quantum computers.
• To establish a workflow for exploring topological states' dynamics and excitations.

Main Methods:

• Utilized IonQ's trapped-ion quantum computer.
• Employed an efficient and scalable Hamiltonian variational ansatz.
• Implemented symmetry-verification error mitigation techniques.
• Executed a 16-qubit circuit with 369 two-qubit gates.

Main Results:

• Successfully realized the ν = 1/3 fermionic Laughlin state.
• Extracted key observables: correlation hole, bulk-edge correspondence, and topological entanglement entropy.
• Achieved strong agreement between quantum processor results and exact diagonalization benchmarks.
• Demonstrated an end-to-end workflow for simulating topological orders.

Conclusions:

• This work presents the first demonstration of the fermionic Laughlin state on a quantum processor.
• The developed methods enable the simulation of complex topological phases.
• This provides a foundation for future research into topological matter dynamics and excitations on quantum computers.