Optimal control of atom transport for quantum gates in optical lattices

Abstract

By means of optimal control techniques we model and optimize the manipulation of the external quantum state (center-of-mass motion) of atoms trapped in adjustable optical potentials. We consider in detail the cases of both non interacting and interacting atoms moving between neighboring sites in a lattice of a double-well optical potentials. Such a lattice can perform interaction-mediated entanglement of atom pairs and can realize two-qubit quantum gates. The optimized control sequences for the optical potential allow transport faster and with significantly larger fidelity than is possible with processes based on adiabatic transport.

revised version: minor changes, 2 references added, published version

References in corpus (20)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Entanglement of atoms via cold controlled collisions
• Controlled Collisions for Multiparticle Entanglement of Optically Trapped Atoms
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Exploring phase coherence in a 2D lattice of Bose-Einstein condensates
• Quantum Logic Gates in Optical Lattices
• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• A lattice of double wells for manipulating pairs of cold atoms
• Fast and robust two-qubit gates for scalable ion trap quantum computing
• Implementation of Spin Hamiltonians in Optical Lattices
• Quantum computations with atoms in optical lattices: marker qubits and molecular interactions
• Production of a Fermi gas of atoms in an optical lattice
• Loading a Bose-Einstein Condensate onto an Optical Lattice: an Application of Optimal Control Theory to The Non Linear Schrödinger Equation
• Preparing and probing atomic number states with an atom interferometer
• Sublattice addressing and spin-dependent motion of atoms in a double-well lattice
• Robust optimal quantum gates for Josephson charge qubits
• Quantum Ratchets for Quantum Communication with Optical Superlattices
• Collisional de-excitation in a quasi-2D degenerate Bose gas
• Fast initialization of a high-fidelity quantum register using optical superlattices

Cited by in corpus (46)

• Control of quantum phenomena: Past, present, and future
• Training Schrödinger's cat: quantum optimal control
• Controlling open quantum systems: Tools, achievements, and limitations
• Shortcut to adiabaticity for an interacting Bose-Einstein condensate
• Fast optimal transition between two equilibrium states
• Colloquium: Trapped ions as quantum bits -- essential numerical tools
• Communication at the quantum speed limit along a spin chain
• Exploring the Quantum Speed Limit with Computer Games
• Shortcuts to adiabaticity for trapped ultracold gases
• Fermionic quantum processing with programmable neutral atom arrays
• Optimal control of entangling operations for trapped ion quantum computing
• Gravitational redshift in quantum-clock interferometry
• Microwave Control of Atomic Motion in Optical Lattices
• A quantum computation architecture using optical tweezers
• Quantum Transport of Bosonic Cold Atoms in Double Well Optical Lattices
• Quantum computing implementations with neutral particles
• Vibrational state inversion of a Bose-Einstein condensate: optimal control and state tomography
• Controlling the transport of an ion: Classical and quantum mechanical solutions
• Time-optimal synthesis of SU(2) transformations for a spin-1/2 system
• Krotov Method for Optimal Control in Closed Quantum Systems
• Decoherence Models for Discrete-Time Quantum Walks and their Application to Neutral Atom Experiments
• Arbitrary quantum-state preparation of a harmonic oscillator via optimal control
• Preparation of a Heteronuclear Two-atom System in the 3D Motional Ground State in an Optical Tweezer
• Searching for quantum optimal controls in the presence of singular critical points
• Searching for quantum optimal controls under severe constraints
• QEngine: An open-source C++ Library for Quantum Optimal Control of Ultracold Atoms
• Dynamical symmetry breaking with optimal control: reducing the number of pieces
• Fabrication of a planar micro Penning trap and numerical investigations of versatile ion positioning protocols
• Time-Optimal Control of Collisional $\sqrt{\text{SWAP}}$ Gates in Ultracold Atomic Systems
• Exploring Quantum Control Landscape Structure
• Fast universal two-qubit gate for neutral fermionic atoms in optical tweezers
• Constructing General Unitary Maps from State Preparations
• Production and manipulation of wave packets from ultracold atoms in an optical lattice
• Atom-Orbital Qubits under Holonomic Quantum Control
• Robustness of Enhanced Shortcuts to Adiabaticity in Lattice Transport
• Coherent Atom Transport via Enhanced Shortcuts to Adiabaticity: Double-Well Optical Lattice
• Coherent control of atomic transport in spinor optical lattices
• Non-adiabatic many-atom quantum state control in few-well systems
• A Toolbox for Linear Optics in a 1D Lattice via Minimal Control
• Phase-controlled localization and directed transport in a bipartite lattice
• Accurate and robust unitary transformation of a high-dimensional quantum system
• Single- and two-qubit quantum gates using superimposed optical lattice potentials
• Quantum Control of d-Dimensional Quantum Systems with Application to Alkali Atomic Spins
• Maximally entangled gapped ground state of lattice fermions
• Manipulating matter waves in an optical superlattice
• Quantum transport in a driven disordered potential: onset of directed current and noise-induced current reversal