Implementation of Error-Corrected Computation on Rydberg Cat Qubits

The long-range interactions between Rydberg atoms enable the realization of quantum operations at the physical qubit level [1-11], and Rydberg systems have also been successful in generating large Schrödinger cat states [12-14]. This makes Rydberg atoms a promising platform for implementing cat qubit error correction. Error correction requires encoding logical qubits into multiple physical qubits, presenting challenges for logical operations due to the need for large-scale qubit transport. In this talk, we detail the techniques for encoding information into cat qubits and implementing autonomous error correction by coupling logical qubits to auxiliary physical qubits. We further present simulations of gate operations on cat qubits that exploit the Rydberg interactions, demonstrating the feasibility of robust error-corrected quantum computation in this system.

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