Realization of a holonomic quantum computer in a chain of three-level systems

Abstract

Holonomic quantum computation is the idea to use non-Abelian geometric phases to implement universal quantum gates that are robust to fluctuations in control parameters. Here, we propose a compact design for a holonomic quantum computer based on coupled three-level systems. The scheme does not require adiabatic evolution and can be implemented in arrays of atoms or ions trapped in tailored standing wave potentials.

Some changes, journal reference added

References in corpus (5)

• Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
• Holonomic quantum computation in decoherence-free subspaces
• Robustness of non-adiabatic holonomic gates
• Non-abelian superconducting pumps
• Fast non-Abelian geometric gates via transitionless quantum driving

Cited by in corpus (7)

• Single-loop multiple-pulse nonadiabatic holonomic quantum gates
• Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
• Holonomic Surface Codes for Fault-Tolerant Quantum Computation
• Dynamical-decoupling-protected nonadiabatic holonomic quantum computation
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Speeding up adiabatic holonomic quantum gates via $\pi$-pulse modulation
• Geometric and holonomic quantum computation