Optical holonomic single quantum gates with a geometric spin under a zero field

Abstract

Realization of fast fault-tolerant quantum gates on a single spin is the core requirement for solid-state quantum-information processing. As polarized light shows geometric interference, spin coherence is also geometrically controlled with light via the spin-orbit interaction. Here, we show that a geometric spin in a degenerate subspace of a spin-1 electronic system under a zero field in a nitrogen vacancy center in diamond allows implementation of optical non-adiabatic holonomic quantum gates. The geometric spin under quasi-resonant light exposure undergoes a cyclic evolution in the spin-orbit space, and acquires a geometric phase or holonomy that results in rotations about an arbitrary axis by any angle defined by the light polarization and detuning. This enables universal holonomic quantum gates with a single operation. We demonstrate a complete set of Pauli quantum gates using the geometric spin preparation and readout techniques. The new scheme opens a path to holonomic quantum computers and repeaters.

References in corpus (4)

• Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
• Coherent transfer of light polarization to electron spins in a semiconductor
• Quantum process tomography and Linblad estimation of a solid state qubit
• Theory of fast optical spin rotation in a quantum dot based on geometric phases and trapped states

Cited by in corpus (8)

• General approach for constructing Hamiltonians for nonadiabatic holonomic quantum computation
• Robust and Fast Holonomic Quantum Gates with Encoding on Superconducting Circuits
• Nonadiabatic holonomic multiqubit controlled gates
• Robust paths to realize nonadiabatic holonomic gates
• Giant nonlinear optical effects induced by nitrogen-vacancy centers in diamond crystals
• Dynamical decoupling of a geometric qubit
• Optical signatures of Mott-superfluid transition in nitrogen-vacancy centers coupled to photonic crystal cavities
• Optimal demonstration of Autler Townes splitting