Arbitrary Dicke-State Control of Symmetric Rydberg Ensembles

Abstract

Symmetric ensembles of neutral atoms interacting via the Rydberg blockade are well-described by the Jaynes-Cummings Hamiltonian. We use this framework to study the problem of generating arbitrary superpositions of Dicke states of hyperfine qubits in such ensembles. The combination of the symmetric Rydberg blockade and microwaves that drive the qubits with a time-dependent phase is sufficient to make these ensembles completely controllable, in the sense that one can generate an arbitrary unitary transformation on the system. We apply this to the problem of state mapping. With currently feasible parameters, it is possible to generate arbitrary symmetric states of ~ 10 hypefine qubits with high fidelity in ~ 1 microsecond, assuming fast microwave phase switching times. To reduce the requirements on phase switching, we propose a "dressed ground control" scheme, in which the control task is simplified by restricting the system's dynamics to the dressed ground subspace.

7 pages (including 2 of supplemental material), 3 figures

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Cited by in corpus (14)

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• Number Partitioning with Grover's Algorithm in Central Spin Systems
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• Efficient preparation of entangled states in cavity QED with Grover's algorithm
• Quantum state engineering by periodical two-step modulation in atomic system
• Quantum dynamics of a fully-blockaded Rydberg atom ensemble
• Fast spin squeezing by distance-selective long-range interactions with Rydberg molecule dressing
• Deterministic carving of quantum states with Grover's algorithm
• Fast and robust cat state preparation utilizing higher order nonlinearities in Rydberg ensembles
• Optimizing quantum codes with an application to the loss channel with partial erasure information
• Quantum simulation of fermionic non-Abelian lattice gauge theories in $(2+1)$D with built-in gauge protection
• Qudit encoding in Rydberg blockaded arrays of atoms
• Harnessing subspace controllability: Dynamical generation of Dicke states in Heisenberg-coupled qubit arrays with a single local control