Quantum Error Correction of Bosonic Qudits Beyond Break-even
Benjamin Brock from Yale University ( @yale ) presents at the QuDits for Quantum Technology workshop, hosted by the Quantum Interactions Theory Group at the Institute for Quantum Computing, University of Waterloo. Learn more: https://quantum-interactions.com/
Hilbert space dimension is a key resource for quantum information processing. A large Hilbert space is not only an essential requirement for quantum error correction, but it can also be advantageous for realizing gates and algorithms more efficiently. There has thus been considerable experimental effort in recent years to develop quantum computing platforms using qudits (d-dimensional quantum systems with d is greater than 2) as the fundamental unit of quantum information. Just as with qubits, quantum error correction of these qudits will be necessary for delivering on their promise in the long run, but to date error correction of logical qudits has not been realized experimentally. Here we present the first experimental demonstrations of error-corrected logical qutrits (d=3) and ququarts (d=4) by employing the Gottesman-Kitaev-Preskill (GKP) bosonic code [1] in a circuit QED architecture. Using a reinforcement learning agent [2] we optimize the GKP qutrit (ququart) as a ternary (quaternary) quantum memory and demonstrate beyond break-even error correction with a gain of 1.82 +/- 0.03 (1.87 +/- 0.03). In addition to these demonstrations, this work opens up many new research directions for quantum information processing with bosonic qudits. [1] Gottesman, Kitaev, Preskill, PRA (2001) [2] Sivak et al., Nature (2023)
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