Atom-Orbital Qubits under Holonomic Quantum Control

Abstract

Quantum computing has been attracting tremendous efforts in recent years. One prominent application is to perform quantum simulations of electron correlations in large molecules and solid-state materials, where orbital degrees of freedom are crucial to quantitatively model electronic properties. Electron orbitals unlike quantum spins obey crystal symmetries, making the atomic orbital in optical lattices a natural candidate to emulate electron orbitals. Here, we construct atom-orbital qubits by manipulating $s$- and $d$-orbitals of atomic Bose-Einstein condensation in an optical lattice. Noise-resilient quantum gate operations are achieved by performing holonomic quantum control, which admits geometrical protection. We find it is critical to eliminate the orbital leakage error in the system. The gate robustness is tested by varying the intensity of the laser forming the lattice. Our work opens up wide opportunities for atom-orbital based quantum information processing, of vital importance to programmable quantum simulations of multi-orbital physics in molecules and quantum materials.

14 pages, 9 figures, published version

References in corpus (10)

• Simulated Quantum Computation of Molecular Energies
• Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• Topological orbital ladders
• Optical holonomic single quantum gates with a geometric spin under a zero field
• Robustness of non-adiabatic holonomic gates
• Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
• Quantum process tomography and Linblad estimation of a solid state qubit
• Optimal control of atom transport for quantum gates in optical lattices
• Single-atom verification of the noise-resilient and fast characteristics of universal nonadiabatic noncyclic geometric quantum gates

Cited by in corpus (9)

• Optimal lattice depth on lifetime of D-band ultracold atoms in a triangular optical lattice
• Temporal Talbot interferometer of strongly interacting molecular Bose-Einstein condensate
• Transport of ultracold atoms in superpositions of S- and D-band states in a moving optical lattice
• Programmable Hamiltonian engineering with quadratic quantum Fourier transform
• Investigation of Floquet engineered non-Abelian geometric phase for holonomic quantum computing
• Atomic Ramsey interferometry with S- and D-band in a triangular optical lattice
• Scattering halos in strongly interacting Feshbach molecular Bose-Einstein condensates
• Unitary Transformations using Robust Optimal Control on a Cold Atom Qudit
• Collisional scattering of strongly interacting D-band Feshbach molecules in optical lattices