Dynamical generation of chiral $W$ and Greenberger-Horne-Zeilinger states in laser-controlled Rydberg-atom trimers

Abstract

Motivated by the significantly improved scalability of optically-trapped neutral-atom systems, extensive efforts have been devoted in recent years to quantum-state engineering in Rydberg-atom ensembles. Here we investigate the problem of engineering generalized (``twisted'') $W$ states, as well as Greenberger-Horne-Zeilinger (GHZ) states, in the strongly-interacting regime of a neutral-atom system. We assume that each atom in the envisioned system initially resides in its ground state and is subject to several external laser pulses that are close to being resonant with the same internal atomic transition. In particular, in the special case of a three-atom system (Rydberg-atom trimer) we determine configurations of field alignments and atomic positions that enable the realization of chiral $W$ states -- a special type of twisted three-qubit $W$ states of interest for implementing noiseless-subsystem qubit encoding. Using chiral W states as an example we also address the problem of deterministically converting twisted $W$ states into their GHZ counterparts in the same three-atom system, thus significantly generalizing recent works that involve only ordinary $W$ states. We show that starting from twisted -- rather than ordinary -- $W$ states is equivalent to renormalizing downwards the relevant Rabi frequencies. While this leads to somewhat longer state-conversion times, we also demonstrate that those times are at least two orders of magnitude shorter than typical lifetimes of relevant Rydberg states.

final, published version

References in corpus (28)

• Array Programming with NumPy
• Probing many-body dynamics on a 51-atom quantum simulator
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
• Quantum computing with neutral atoms
• Quantum simulation and computing with Rydberg-interacting qubits
• Enhanced atom-by-atom assembly of arbitrary tweezers arrays
• Fast preparation of W states with superconducting quantum interference devices by using dressed states
• Quantum logic and entanglement by neutral Rydberg atoms: methods and fidelity
• Molecular assembly of ground state cooled single atoms
• Quantum simulation of small-polaron formation with trapped ions
• Superresolution microscopy of optical fields using tweezer-trapped single atoms
• Dissipative preparation of W states in trapped ion systems
• Doppler-resilient ground-Rydberg transition and its application in high-fidelity entangling gates with neutral atoms
• Bayesian optimal control of GHZ states in Rydberg lattices
• One-photon Solutions to Multiqubit Multimode quantum Rabi model
• Bare-Excitation Ground State of a Spinless-Fermion -- Boson Model and $W$-State Engineering in an Array of Superconducting Qubits and Resonators
• Creation and transfer of non-classical states of motion using Rydberg dressing of atoms in a lattice
• Conversion from $W$ to Greenberger-Horne-Zeilinger states in the Rydberg-blockade regime of neutral-atom systems: Dynamical-symmetry-based approach
• Scalable $W$-type entanglement resource in neutral-atom arrays with Rydberg-dressed resonant dipole-dipole interaction
• Superfluid drag of two-species Bose-Einstein condensates in optical lattices
• Generation of Bell, W and GHZ states via exceptional points in non-Hermitian quantum spin systems
• Non-adiabatic quantum state preparation and quantum state transport in chains of Rydberg atoms
• Assembled arrays of Rydberg-interacting atoms
• Quantum dynamics of the small-polaron formation in a superconducting analog simulator
• Unified generation and fast emission of arbitrary single-photon multimode $W$ states
• Coherent Atom Transport via Enhanced Shortcuts to Adiabaticity: Double-Well Optical Lattice
• Dynamic generation of GHZ states with coupled charge qubits

Cited by in corpus (9)

• High-fidelity interconversion between Greenberger-Horne-Zeilinger and $W$ states through Floquet-Lindblad engineering in Rydberg atom arrays
• Dicke-state preparation through global transverse control of Ising-coupled qubits
• Quantum-brachistochrone approach to the conversion from $W$ to Greenberger-Horne-Zeilinger states for Rydberg-atom qubits
• Interconversion of $W$ and Greenberger-Horne-Zeilinger states for Ising-coupled qubits with transverse global control
• Spin squeezing in internal bosonic Josephson junctions via enhanced shortcuts to adiabaticity
• Twist-and-turn dynamics of spin squeezing in bosonic Josephson junctions: Enhanced shortcuts-to-adiabaticity approach
• Spectral features of polaronic excitations in a superconducting analog simulator
• Shortcut-to-adiabaticity for coupled harmonic oscillators
• Harnessing subspace controllability: Dynamical generation of Dicke states in Heisenberg-coupled qubit arrays with a single local control