Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session T73: Quantum Error Correction Foundations and Theory II
11:30 AM–2:18 PM,
Thursday, March 9, 2023
Room: Room 405
Sponsoring
Unit:
DQI
Chair: Arne Grimsmo, University of Sydney
Abstract: T73.00009 : Continuous quantum error correction on non-Markovian models*
1:06 PM–1:18 PM
Presenter:
Juan Garcia Nila
(University of Southern California)
Author:
Juan Garcia Nila
(University of Southern California)
Collaborations:
Juan Garcia Nila, Todd A. Brun
This work starts with a one-qubit system being maintained in a particular state against noise. This case allows a analytical solutions. We then generalize the study to the three-qubit repetition code. The fidelity in the Markovian case decays more abruptly than when a non-Markovian model is used: the performance of error correction is enhanced against a non-Markovian error model enhances. In particular, for the one-qubit model we observe a linear decay in time of fidelity for the Markovian case, while the non-Markovian cases exhibit a quadratic time decay at short times. Analogously, for the three-qubit code, the fidelity decays quadratically in the Markovian case and as the cube in the non-Markovian case. We attribute this difference to the existence of a quantum Zeno regime in both non-Markovian models.
**NSF Grants 1719778 and 1911089.
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