Ultracold polar molecules as qudits

Abstract

We discuss how the internal structure of ultracold molecules, trapped in the motional ground state of optical tweezers, can be used to implement qudits. We explore the rotational, fine and hyperfine structure of ${}^{40}$Ca${}^{19}$F and ${}^{87}$Rb${}^{133}$Cs, which are examples of molecules with ${}^2\Sigma$ and ${}^1\Sigma$ electronic ground states, respectively. In each case we identify a subset of levels within a single rotational manifold suitable to implement a 4-level qudit. Quantum gates can be implemented using two-photon microwave transitions via levels in a neighboring rotational manifold. We discuss limitations to the usefulness of molecular qudits, arising from off-resonant excitation and decoherence. As an example, we present a protocol for using a molecular qudit of dimension $d=4$ to perform the Deutsch algorithm.

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Cited by in corpus (92)

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• Rotational Coherence Times of Polar Molecules in Optical Tweezers
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• Molecular Asymmetry and Optical Cycling: Laser Cooling Asymmetric Top Molecules
• A robust entangling gate for polar molecules using magnetic and microwave fields
• Ultracold Gas of Dipolar NaCs Ground State Molecules
• Formation of ultracold molecules by merging optical tweezers
• A Feshbach resonance in collisions between ultracold ground state molecules
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• Solving correlation clustering with QAOA and a Rydberg qudit system: a full-stack approach
• Direct laser cooling of calcium monohydride molecules
• Quantum Optimal Control of Nuclear Spin Qudecimals in ${}^{87}\text{Sr}$
• Long-lived entanglement of molecules in magic-wavelength optical tweezers
• Realizing quantum gates with optically-addressable ${}^{171}$Yb${}^{+}$ ion qudits
• Decomposing the generalized Toffoli gate with qutrits
• Sub-millisecond Entanglement and iSWAP Gate between Molecular Qubits
• 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
• Quantum capacity analysis of multi-level amplitude damping channels
• Efficient realization of quantum algorithms with qudits
• Observation of Rydberg blockade due to the charge-dipole interaction between an atom and a polar molecule
• Effective potential and superfluidity of microwave-dressed polar molecules
• Seconds-scale coherence on nuclear spin transitions of ultracold polar molecules in 3D optical lattices
• Floquet-Tailored Rydberg Interactions
• Controlling the ac Stark effect of RbCs with dc electric and magnetic fields
• Qudits for decomposing multiqubit gates and realizing quantum algorithms
• Preparation of one ${}^{87}$Rb and one ${}^{133}$Cs atom in a single optical tweezer
• Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits
• Continuous dynamical decoupling of optical ${}^{171}$Yb${}^{+}$ qudits with radiofrequency fields
• Ultracold ${}^{88}{\mathrm{Sr}}_2$ molecules in the absolute ground state
• Magneto-optical trapping of a heavy polyatomic molecule for precision measurement
• Floquet Engineering Ultracold Polar Molecules to Simulate Topological Insulators
• Magic Conditions for Multiple Rotational States of Bialkali Molecules in Optical Lattices
• Complexes formed in collisions between ultracold alkali-metal diatomic molecules and atoms
• Coherent Manipulation of the Internal State of Ultracold ${}^{87}$Rb${}^{133}$Cs Molecules with Multiple Microwave Fields
• Universal quantum computing with qubits embedded in trapped-ion qudits
• Preparation of ${}^{87}$Rb and ${}^{133}$Cs in the motional ground state of a single optical tweezer
• Towards multiqudit quantum processor based on a ${}^{171}$Yb${}^{+}$ ion string: Realizing basic quantum algorithms
• Generalized Toffoli gate decomposition using ququints: Towards realizing Grover's algorithm with qudits
• Observation of resonant dipolar collisions in ultracold ${}^{23}$Na${}^{87}$Rb rotational mixtures
• A hybrid atom tweezer array of nuclear spin and optical clock qubits
• Entanglement via rotational blockade of MgF molecules in a magic potential
• Simulation of Cryogenic Buffer Gas Beams
• Extreme depolarization for any spin
• General classification of qubit encodings in ultracold diatomic molecules
• Efficient Pathway to NaCs Ground State Molecules
• Prospects of forming high-spin polar molecules from ultracold atoms
• Local Dimension Invariant Qudit Stabilizer Codes
• Partially Coherent Direct Sum Channels
• Laser cooling of a fermionic molecule
• Non-Local Multi-Qubit Quantum Gates via a Driven Cavity
• Anisotropic Polarizability of Ultracold Ground-state ${}^{23}$Na${}^{87}$Rb Molecules
• Neuromorphic computing with a single qudit
• Interaction potential for NaCs for ultracold scattering and spectroscopy
• Long-lived multilevel coherences and spin-1 dynamics encoded in the rotational states of ultracold molecules
• Spectroscopic characterization of the a${}^3\Pi$ state of aluminum monofluoride
• Coherence of Symmetry-Protected Rotational Qubits in Cold Polyatomic Molecules
• Characterization of the lowest excited-state ro-vibrational level of ${}^{23}$Na${}^{87}$Rb
• Intercombination line photoassociation spectroscopy of ${}^{87}$Rb${}^{170}$Yb
• Nonequilibrium quench dynamics of Bose-Einstein condensates of microwave-shielded polar molecules
• Measurement of Doppler effects in cryogenic buffer-gas cell
• Quantum annealing with pairs of ${}^2\Sigma$ molecules as qubits
• Ultracold Interactions between Ions and Polar Molecules
• Dynamics of translational and rotational thermalization of AlF molecules via collisions with cryogenic helium
• The Synthetic Hilbert Space of Laser-Driven Free-Electrons
• Robust storage qubits in ultracold polar molecules
• DiPolMol-Py: A Python package for calculations for ${}^2\Sigma$ ground-state molecules
• The Li + CaF $\to$ Ca + LiF chemical reaction under cold conditions
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• Microwave-assisted coherent control of ultracold polar molecules with a ladder-type rotational states
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• Molecule-molecule and atom-molecule collisions with ultracold RbCs molecules
• Permutationally invariant processes in open multiqudit systems
• Trapping polar molecules by surface acoustic waves
• Parity-Doublet Coherence Times in Optically Trapped Polyatomic Molecules
• Qudit encoding in Rydberg blockaded arrays of atoms
• Changing the Local-Dimension of an Entanglement-Assisted Stabilizer Code Removes Entanglement Need
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• Revealing effects of local dimension on variable-range interacting model by connecting Lieb-Robinson bounds and multipartite entanglement
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• High-sensitivity molecular spectroscopy of SrOH using magneto-optical trapping
• First-order phase transition in atom-molecule quantum degenerate mixtures with coherent three-body recombination