Validity of rotating wave approximation in non-adiabatic holonomic quantum computation

Abstract

We examine the validity of the rotating wave approximation (RWA) in non-adiabatic holonomic single-qubit gates [New J. Phys. {\bf 14}, 103035 (2012)]. We demonstrate that the adoption of RWA may lead to a sharp decline in fidelity for rapid gate implementation and small energy separation between the excited and computational states. The validity of the RWA in the recent experimental realization [Nature (London) {\bf 496}, 482 (2013)] of non-adiabatic holonomic quantum computation for a superconducting qubit is examined.

Changes, old figure replaced two new figures, journal reference added

References in corpus (4)

• Experimental Realization of Non-Abelian Geometric Gates
• Robustness of non-adiabatic holonomic gates
• Geometric phases in superconducting qubits beyond the two-level-approximation
• Determination of the phase of an electromagnetic field via incoherent detection of fluorescence

Cited by in corpus (20)

• Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm
• Single-loop multiple-pulse nonadiabatic holonomic quantum gates
• Geometric phases in quantum information
• Nonadiabatic holonomic single-qubit gates in off-resonant $\Lambda$ systems
• Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
• Nonadiabatic holonomic quantum computation with Rydberg superatoms
• Non-Abelian holonomic transformation in the presence of classical noise
• Nonadiabatic holonomic multiqubit controlled gates
• Dynamical-decoupling-protected nonadiabatic holonomic quantum computation
• Conceptual aspects of geometric quantum computation
• Exploring Non-Abelian Geometric Phases in Spin-1 Ultracold Atoms
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Subpicosecond $X$ rotations of atomic clock states
• Error-Resilient Floquet Geometric Quantum Computation
• Nonadiabatic braiding of Majorana modes
• Time optimal holonomic quantum computation
• Mitigation of systematic amplitude error in nonadiabatic holonomic operations
• Bounding the rotating wave approximation for coupled harmonic oscillators
• Fast non-Abelian geometric gates via transitionless quantum driving
• Geometric and holonomic quantum computation