Universal nonadiabatic geometric gates in two-qubit decoherence-free subspaces

Area of Science:

• Quantum Information Science
• Quantum Computing
• Condensed Matter Physics

Background:

• Geometric quantum computation in decoherence-free subspaces is crucial for protecting quantum information.
• Existing schemes often suffer from state leakage or require complex four-body interactions.

Purpose of the Study:

• To propose a novel, feasible geometric quantum computation scheme.
• To address and eliminate state leakage and four-body interaction problems inherent in previous methods.

Main Methods:

• Implementation within two-qubit decoherence-free subspaces.
• Utilization of a generic Hamiltonian for broad applicability.

Main Results:

• Successfully avoids state leakage issues.
• Eliminates the need for four-body interactions.
• Demonstrates a feasible scheme for quantum computation.

Conclusions:

• The proposed scheme offers a practical advancement for robust quantum computation.
• Its generic nature suggests potential experimental realization across various qubit platforms, including superconducting charge qubits.