Conversion from to Greenberger-Horne-Zeilinger states in the Rydberg-blockade regime of neutral-atom systems: Dynamical-symmetry-based approach
arXiv:2012.15169 · doi:10.1103/PhysRevA.103.032427
Abstract
We investigate the possibilities for a deterministic conversion between two important types of maximally entangled multiqubit states, namely, and Greenberger-Horne-Zeilinger (GHZ) states, in the Rydberg-blockade regime of a neutral-atom system where each atom is subject to four external laser pulses. Such interconversions between states and their GHZ counterparts have quite recently been addressed using the method of shortcuts to adiabaticity, more precisely techniques based on Lewis-Riesenfeld invariants [R.-H. Zheng {\em et al.}, Phys. Rev. A {\bf 101}, 012345 (2020)]. Motivated in part by this recent work, we revisit the to GHZ state-conversion problem using a fundamentally different approach, which is based on the dynamical symmetries of the system and a Lie-algebraic parametrization of its permissible evolutions. In contrast to the previously used invariant-based approach, which leads to a state-conversion protocol characterized by strongly time-dependent Rabi frequencies of external lasers, ours can also yield one with time-independent Rabi frequencies. This feature makes our protocol more easily applicable experimentally, with the added advantage that it allows the desired state conversion to be carried out in a significantly shorter time with the same total laser pulse energy used.
arXiv commentfinal, published version
References in corpus (49)
- Three qubits can be entangled in two inequivalent ways
- Quantum information with Rydberg atoms
- Probing many-body dynamics on a 51-atom quantum simulator
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
- Conditions for a class of entanglement transformations
- Shortcuts to adiabaticity: concepts, methods, and applications
- Observation of Rydberg blockade between two atoms
- An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
- Demonstration of a neutral atom controlled-NOT quantum gate
- Observation of collective excitation of two individual atoms in the Rydberg blockade regime
- Entanglement of two individual neutral atoms using Rydberg blockade
- Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
- Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
- Local Blockade of Rydberg Excitation in an Ultracold Gas
- Synthetic three-dimensional atomic structures assembled atom by atom
- 10-qubit entanglement and parallel logic operations with a superconducting circuit
- High-fidelity control and entanglement of Rydberg atom qubits
- Suppression of Excitation and Spectral Broadening Induced by Interactions in a Cold Gas of Rydberg Atoms
- Rydberg atom quantum technologies
- Observation of Entangled States of a Fully Controlled 20-Qubit System
- Experimental demonstration of three-color entanglement
- Quantum teleportation via a W state
- Defect-free assembly of 2D clusters of more than 100 single-atom quantum systems
- Experimental GHZ Entanglement beyond Qubits
- Quantum simulation of a system with competing two- and three-body interactions
- Efficient multiparticle entanglement via asymmetric Rydberg blockade
- High-Fidelity Single-Shot Toffoli Gate via Quantum Control
- High-fidelity Rydberg-blockade entangling gate using shaped, analytic pulses
- Enhanced atom-by-atom assembly of arbitrary tweezers arrays
- Grey-molasses optical-tweezer loading: Controlling collisions for scaling atom-array assembly
- An elementary optical gate for expanding entanglement web
- Anonymous transmission in a noisy quantum network using the W state
- Fast preparation of W states with superconducting quantum interference devices by using dressed states
- Local Conversion of Greenberger-Horne-Zeilinger States to Approximate W States
- Simple preparation of Bell and GHZ states using ultrastrong-coupling circuit QED
- Local quantum control of Heisenberg spin chains
- Quantum-control approach to realizing a Toffoli gate in circuit QED
- Three-Photon Discrete-Energy-Entangled W State in Optical Fiber
- Bayesian optimal control of GHZ states in Rydberg lattices
- Bare-Excitation Ground State of a Spinless-Fermion -- Boson Model and -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
- Scalable -type entanglement resource in neutral-atom arrays with Rydberg-dressed resonant dipole-dipole interaction
- Controlling qubit arrays with anisotropic XXZ Heisenberg interaction by acting on a single qubit
- 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
- Deterministic Many-Resonator W Entanglement of Nearly Arbitrary Microwave States via Attractive Bose-Hubbard Simulation
- Feasibility of single-shot realizations of conditional three-qubit gates in exchange-coupled qubit arrays with local control
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- Coherent Atom Transport via Enhanced Shortcuts to Adiabaticity: Double-Well Optical Lattice
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- Twist-and-turn dynamics of spin squeezing in bosonic Josephson junctions: Enhanced shortcuts-to-adiabaticity approach
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