Time-Optimal Control of Collisional $\sqrt{\text{SWAP}}$ Gates in Ultracold Atomic Systems

Abstract

We use quantum optimal control to identify fast collision-based two-qubit $\sqrt{\text{SWAP}}$ gates in ultracold atoms. We show that a significant speed up can be achieved by optimizing the full gate instead of separately optimizing the merge-wait-separate sequence of the trapping potentials. Our optimal strategy does not rely on the atoms populating the lowest eigenstates of the merged potential, and it crucially includes accumulation of quantum phases before the potentials are fully merged. Our analyses transcend the particular trapping geometry, but to compare with previous works, we present systematic results for an optical lattice and find greatly improved gate durations and fidelities.

arXiv comment15 pages, 13 figures, animations at https://www.quatomic.com/quatomic_publications/

References in corpus (50)

• Many-Body Physics with Ultracold Gases
• Quantum information with Rydberg atoms
• The Physical Implementation of Quantum Computation
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
• Fast quantum gates for neutral atoms
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
• Demonstration of a neutral atom controlled-NOT quantum gate
• Entanglement of atoms via cold controlled collisions
• Controlled Collisions for Multiparticle Entanglement of Optically Trapped Atoms
• Entanglement of two individual neutral atoms using Rydberg blockade
• Single-Spin Addressing in an Atomic Mott Insulator
• Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
• Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
• Quantum Logic Gates in Optical Lattices
• Synthetic three-dimensional atomic structures assembled atom by atom
• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• High-fidelity control and entanglement of Rydberg atom qubits
• Entangling Atomic Spins with a Strong Rydberg-Dressed Interaction
• Quantum computing with alkaline earth atoms
• In situ single-atom array synthesis by dynamic holographic optical tweezers
• Randomized benchmarking of single qubit gates in a 2D array of neutral atom qubits
• A Rydberg blockade CNOT gate and entanglement in a 2D array of neutral atom qubits
• Experimental investigations of the dipolar interactions between single Rydberg atoms
• Quantum gates with neutral atoms: Controlling collisional interactions in time dependent traps
• Hong-Ou-Mandel atom interferometry in tunnel-coupled optical tweezers
• Alkaline earth atoms in optical tweezers
• Microscopic control and detection of ultracold strontium in optical-tweezer arrays
• Deterministic entanglement of two neutral atoms via Rydberg blockade
• Defect-free assembly of 2D clusters of more than 100 single-atom quantum systems
• Narrow-line cooling and imaging of Ytterbium atoms in an optical tweezer array
• An omniscient Maxwell's demon
• Universal gates based on targeted phase shifts in a 3D neutral atom array
• Entangling two transportable neutral atoms via local spin exchange
• Microwave potentials and optimal control for robust quantum gates on an atom chip
• Quantum logic via the exchange blockade in ultracold collisions
• Coherent addressing of individual neutral atoms in a 3D optical lattice
• Quantum Computing and Quantum Simulation with Group-II Atoms
• Quantum computing with spatially delocalized qubits
• Optimal control of atom transport for quantum gates in optical lattices
• A quantum computation architecture using optical tweezers
• Quantum computing implementations with neutral particles
• Quantum computing in optical microtraps based on the motional states of neutral atoms
• Theoretical analysis of the implementation of a quantum phase gate with neutral atoms on atom chips
• Quantum computation with ultracold atoms in a driven optical lattice
• QEngine: An open-source C++ Library for Quantum Optimal Control of Ultracold Atoms
• Fast and scalable quantum information processing with two-electron atoms in optical tweezer arrays
• A simple quantum gate with atom chips
• Single- and two-qubit quantum gates using superimposed optical lattice potentials

Cited by in corpus (15)

• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Quantum logic and entanglement by neutral Rydberg atoms: methods and fidelity
• Hessian-based optimization of constrained quantum control
• Optimal control of families of quantum gates
• Crowdsourcing human common sense for quantum control
• Fast universal two-qubit gate for neutral fermionic atoms in optical tweezers
• Rydberg quantum computation with nuclear spins in two-electron neutral atoms
• Atom-Orbital Qubits under Holonomic Quantum Control
• Quantum Composer: A programmable quantum visualization and simulation tool for education and research
• A Framework for Curriculum Transformation in Quantum Information Science and Technology Education
• Coherent Atom Transport via Enhanced Shortcuts to Adiabaticity: Double-Well Optical Lattice
• Near-threshold scaling of resonant inelastic collisions at ultralow temperatures
• Spreading entanglement through pairwise exchange interactions
• Fast collisional $\sqrt{\mathrm{SWAP}}$ gate for fermionic atoms in an optical superlattice
• Modelling assisted tunneling on the Bloch sphere using the Quantum Composer