Dipolar Exchange Quantum Logic Gate with Polar Molecules

Abstract

We propose a two-qubit gate based on dipolar exchange interactions between individually addressable ultracold polar molecules in an array of optical dipole traps. Our proposal treats the full Hamiltonian of the ${}^1{\Sigma }^{+}$ molecule NaCs, utilizing a pair of nuclear spin states as storage qubits. A third rotationally excited state with rotation-hyperfine coupling enables switchable dipolar exchange interactions between two molecules to generate an iSWAP gate. All three states are insensitive to external magnetic and electric fields. Impacts on gate fidelity due to coupling to other molecular states, imperfect ground-state cooling, blackbody radiation and vacuum spontaneous emission are small, leading to potential fidelity above $99.99\%$ in a coherent quantum system that can be scaled by purely optical means.

References in corpus (45)

• Quantum Computation with Quantum Dots
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• Good Quantum Error-Correcting Codes Exist
• The Physical Implementation of Quantum Computation
• Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
• Quantum computation with trapped polar molecules
• Noiseless Quantum Codes
• Multiple Particle Interference and Quantum Error Correction
• Two-Bit Gates are Universal for Quantum Computation
• Reliable Quantum Computers
• Realizing a lattice spin model with polar molecules
• An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• High-fidelity quantum logic gates using trapped-ion hyperfine qubits
• High-fidelity two-qubit quantum logic gates using trapped calcium-43 ions
• Ultracold dense samples of dipolar RbCs molecules in the rovibrational and hyperfine ground state
• High-Fidelity Universal Gate Set for ${}^9$Be${}^{+}$ Ion Qubits
• Experimental Comparison of Two Quantum Computing Architectures
• Magneto-optical trapping of a diatomic molecule
• Molecules cooled below the Doppler limit
• Tunable Superfluidity and Quantum Magnetism with Ultracold Polar Molecules
• Schemes for robust quantum computation with polar molecules
• Non-equilibrium quantum magnetism in a dipolar lattice gas
• Controlling the hyperfine state of rovibronic ground-state polar molecules
• Radio Frequency Magneto-Optical Trapping of CaF with High Density
• Natural two-qubit gate for quantum computation using the XY interaction
• Building one molecule from a reservoir of two atoms
• Single-qubit-gate error below 10^-4 in a trapped ion
• Quantum magnetism with multicomponent polar molecules in an optical lattice
• Characterizing errors on qubit operations via iterative randomized benchmarking
• Robust two-qubit gates in a linear ion crystal using a frequency-modulated driving force
• Second-Scale Nuclear Spin Coherence Time of Trapped Ultracold ${}^{23}$Na${}^{40}$K Molecules
• Indirect Interaction of Solid-State Qubits via Two-Dimensional Electron Gas
• Decoherence due to elastic Rayleigh scattering
• Coping with qubit leakage in topological codes
• Prospects for Quantum Computing with an Array of Ultracold Polar Paramagnetic Molecules
• Coherent Microwave Control of Ultracold ${}^{23}$Na${}^{40}$K Molecules
• Implementation of Quantum Logic Gates Using Polar Molecules in Pendular States
• Infrared-dressed entanglement of cold open-shell polar molecules for universal matchgate quantum computing
• Hyperfine structure of alkali-metal diatomic molecules
• Manipulating ultracold polar molecules with microwave radiation: the influence of hyperfine structure
• Motional Ground State Cooling Outside the Lamb-Dicke Regime
• High-resolution Internal State Control of Ultracold ${}^{23}$Na${}^{87}$Rb Molecules
• AC Stark Effect in Ultracold Polar RbCs Molecules
• Precision measurements with polar molecules: the role of the black body radiation

Cited by in corpus (129)

• Quantum simulation and computing with Rydberg-interacting qubits
• An Optical Tweezer Array of Ultracold Molecules
• A Fermi Degenerate Gas of Polar Molecules
• Evaporation of microwave-shielded polar molecules to quantum degeneracy
• Ultracold polar molecules as qudits
• Robust encoding of a qubit in a molecule
• Ytterbium nuclear-spin qubits in an optical tweezer array
• On-Demand Entanglement of Molecules in a Reconfigurable Optical Tweezer Array
• $\Lambda$-Enhanced Imaging of Molecules in an Optical Trap
• Assembly of a rovibrational ground state molecule in an optical tweezer
• Photo-induced two-body loss of ultracold molecules
• Probing site-resolved correlations in a spin system of ultracold molecules
• Loss of ultracold RbCs molecules via optical excitation of long-lived two-body collision complexes
• Quantum state manipulation and cooling of ultracold molecules
• Sub-Doppler Cooling and Compressed Trapping of YO Molecules at $\mu$K Temperatures
• Tuning of dipolar interactions and evaporative cooling in a three-dimensional molecular quantum gas
• Quantum entanglement between an atom and a molecule
• Bimolecular chemistry in the ultracold regime
• A Scalable Quantum Computing Platform Using Symmetric-Top Molecules
• Quantum Computing with Circular Rydberg Atoms
• Rotational Coherence Times of Polar Molecules in Optical Tweezers
• Laser cooled molecules
• Molecular Asymmetry and Optical Cycling: Laser Cooling Asymmetric Top Molecules
• A robust entangling gate for polar molecules using magnetic and microwave fields
• Collisions of ultracold molecules in bright and dark optical dipole traps
• Forming a single molecule by magnetoassociation in an optical tweezer
• Molecular assembly of ground state cooled single atoms
• Tunable itinerant spin dynamics with polar molecules
• A quasiclassical method for calculating the density of states of ultracold collision complexes
• Dipolar quantum logic for freely-rotating trapped molecular ions
• Formation of ultracold molecules by merging optical tweezers
• Spectroscopic characterization of aluminum monofluoride with relevance to laser cooling and trapping
• Asymmetric blockade and multi-qubit gates via dipole-dipole interactions
• A Feshbach resonance in collisions between ultracold ground state molecules
• Field-linked resonances of polar molecules
• High Phase-Space Density of Laser-Cooled Molecules in an Optical Lattice
• Accurate prediction and measurement of vibronic branching ratios for laser cooling linear polyatomic molecules
• Blue-Detuned Magneto-Optical Trap of Molecules
• Long-lived entanglement of molecules in magic-wavelength optical tweezers
• Franck-Condon tuning of optical cycling centers by organic functionalization
• Sub-millisecond Entanglement and iSWAP Gate between Molecular Qubits
• Sideband cooling of molecules in optical traps
• Magnetic Feshbach resonances in collisions of ${}^{23}$Na${}^{40}$K with ${}^{40}$K
• Enriching the quantum toolbox of ultracold molecules with Rydberg atoms
• Enhanced quantum control of individual ultracold molecules using optical tweezer arrays
• Tune-out and magic wavelengths for ground-state ${}^{23}$Na${}^{40}$K molecules
• Observation of Rydberg blockade due to the charge-dipole interaction between an atom and a polar molecule
• Diatomic molecules of alkali-metal and alkaline-earth-metal atoms: interaction potentials, dipole moments, and polarizabilities
• Seconds-scale coherence on nuclear spin transitions of ultracold polar molecules in 3D optical lattices
• Prospects for assembling ultracold radioactive molecules from laser-cooled atoms
• Microwave shielding with far-from-circular polarization
• Cooling of a Zero-Nuclear-Spin Molecular Ion to a Selected Rotational State
• Fast and scalable quantum information processing with two-electron atoms in optical tweezer arrays
• Reduction of laser intensity noise over 1 MHz band for single atom trapping
• Controlling the ac Stark effect of RbCs with dc electric and magnetic fields
• Preparation of one ${}^{87}$Rb and one ${}^{133}$Cs atom in a single optical tweezer
• Ultracold ${}^{88}{\mathrm{Sr}}_2$ molecules in the absolute ground state
• Floquet Engineering Ultracold Polar Molecules to Simulate Topological Insulators
• Magneto-optical trapping of a heavy polyatomic molecule for precision measurement
• Complexes formed in collisions between ultracold alkali-metal diatomic molecules and atoms
• Magic Conditions for Multiple Rotational States of Bialkali Molecules in Optical Lattices
• Coherent optical creation of a single molecule
• Antiferromagnetic bosonic $t$-$J$ models and their quantum simulation in tweezer arrays
• Probing ultracold chemistry using ion spectrometry
• Enhancing dipolar interactions between molecules using state-dependent optical tweezer traps
• Coherent Manipulation of the Internal State of Ultracold ${}^{87}$Rb${}^{133}$Cs Molecules with Multiple Microwave Fields
• Bichromatic Imaging of Single Molecules in an Optical Tweezer Array
• Robust nuclear spin entanglement via dipolar interactions in polar molecules
• Quantum-Enhanced Metrology for Molecular Symmetry Violation using Decoherence-Free Subspaces
• Preparation of ${}^{87}$Rb and ${}^{133}$Cs in the motional ground state of a single optical tweezer
• Æ codes
• Intensity-borrowing mechanisms pertinent to laser cooling of linear polyatomic molecules
• Observation of resonant dipolar collisions in ultracold ${}^{23}$Na${}^{87}$Rb rotational mixtures
• Electric-field-controlled cold dipolar collisions between trapped CH${}_3$F molecules
• Controlling the dynamics of ultracold polar molecules in optical tweezers
• Fast optical transport of ultracold molecules over long distances
• Entanglement via rotational blockade of MgF molecules in a magic potential
• Spin exchange-enabled quantum simulator for large-scale non-Abelian gauge theories
• Transition strength measurements to guide magic wavelength selection in optically trapped molecules
• General classification of qubit encodings in ultracold diatomic molecules
• Prospects of forming high-spin polar molecules from ultracold atoms
• Experimental implementation of precisely tailored light-matter interaction via inverse engineering
• Fully saturated hydrocarbons as hosts of optical cycling centers
• Realization of Heisenberg models of spin systems with polar molecules in pendular states
• Multivalent optical cycling centers in polyatomic molecules
• A general approach to state-dependent optical tweezer traps for polar molecules
• A high optical access cryogenic system for Rydberg atom arrays with a 3000-second trap lifetime
• Anisotropic Polarizability of Ultracold Ground-state ${}^{23}$Na${}^{87}$Rb Molecules
• Symmetry breaking in sticky collisions between ultracold molecules
• Nondestructive dispersive imaging of rotationally excited ultracold molecules
• Interaction potential for NaCs for ultracold scattering and spectroscopy
• Magnetic properties and quench dynamics of two interacting ultracold molecules in a trap
• The iSWAP gate with polar molecules: Robustness criteria for entangling operations
• Scheme for Deterministic Loading of Laser-Cooled Molecules into Optical Tweezers
• Characterization of the lowest excited-state ro-vibrational level of ${}^{23}$Na${}^{87}$Rb
• Coherence of Symmetry-Protected Rotational Qubits in Cold Polyatomic Molecules
• A protocol to realize triatomic ultralong range Rydberg molecules in an ultracold KRb gas
• Direct measurement of high-lying vibrational repumping transitions for molecular laser cooling
• A Model for Scattering with Proliferating Resonances: Many Coupled Square Wells
• Resonances in non-universal dipolar collisions
• Quantifying Entanglement in Cluster States Built with Error-Prone Interactions
• Nonequilibrium quench dynamics of Bose-Einstein condensates of microwave-shielded polar molecules
• Class of codes correcting absorptions and emissions
• Quantum Molecular Robots
• Rotational properties of two interacting cold polar molecules: linear, symmetric, and asymmetric tops
• Near-threshold scaling of resonant inelastic collisions at ultralow temperatures
• Protocol for Optically Pumping AlH${}^{+}$ to a Pure Quantum State
• Quenched Magneto-association of Ultracold Feshbach Molecules
• Robust storage qubits in ultracold polar molecules
• The long mean-life-time-controlled and potentially scalable qubits composed of electric dipolar molecules based on graphene
• Engineering of the qubit initialization in an imperfect physical system
• Effects of Conical Intersections on Hyperfine Quenching of Hydroxyl OH in collision with an ultracold Sr atom
• High-fidelity quantum state control of a polar molecular ion in a cryogenic environment
• A novel method to determine the phase-space distribution of a pulsed molecular beam
• Spin--spin interaction and magnetic Feshbach resonances in collisions of high-spin atoms with closed-shell atoms
• Nanofibre-based trap for Rb${}_2$ molecule
• Empirical LiK excited state potentials: connecting short range and near dissociation expansions
• Lossy Quantum Defect Theory of Ultracold Molecular Collisions
• What is the diatomic molecule with the largest dipole moment?
• Variational approach to open quantum systems with long-range competing interactions
• Aspects of arbitrarily oriented dipoles scattering in plane: short-range interaction influence
• Molecule-molecule and atom-molecule collisions with ultracold RbCs molecules
• Control of Dipolar Dynamics by Geometrical Programming
• Van der Waals coefficients for interactions of dysprosium and erbium atoms with alkali-metal and alkaline-earth-metal atoms
• Scalable platform for qudit-based quantum computing using polar molecules
• All-to-all connectivity of Rydberg-atom-based quantum processors with messenger qubits
• Hyperfine van der Waals repulsion between open-shell polar molecules
• Narrowline Laser Cooling and Spectroscopy of Molecules via Stark States
• High-sensitivity molecular spectroscopy of SrOH using magneto-optical trapping