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QI: Fachverband Quanteninformation

QI 7: Quantum Error Correction

QI 7.2: Talk

Monday, March 18, 2024, 15:15–15:30, HFT-TA 441

Discovering Compact Quantum Circuits for Fault-Tolerant Logical State Preparation with Reinforcement Learning — •Remmy Zen1, Jan Olle1, Luis Colmenarez2,3, Matteo Puviani1, Markus Müller2,3, and Florian Marquardt1,41Max Planck Institute for the Science of Light, Staudtstrasse 2, 91058 Erlangen, Germany — 2Institute for Quantum Information, RWTH Aachen University, 52056 Aachen, Germany — 3Peter Grünberg Institute, Theoretical Nanoelectronics, Forschungszentrum Jülich, 52425 Jülich, Germany — 4Department of Physics, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstrasse 5, 91058 Erlangen, Germany

One of the key aspects in realizing large-scale fault-tolerant quantum computers is quantum error correction (QEC). The first essential step of QEC is to encode the logical state into physical qubits. However, there is no unique recipe for finding a compact quantum circuit that encodes or prepares the logical state in a fault-tolerant way, especially under hardware constraints such as qubit connectivity and gate set. In this work, we use reinforcement learning (RL) to automatically discover compact quantum circuits that prepare the logical state of a QEC code fault-tolerantly with the flag-based protocol for a given qubit connectivity and gate set. We first demonstrate that an RL agent can fault-tolerantly prepare logical states of a code with up to 15 physical qubits without any hardware constraints. We then show RL-discovered compact circuits for fault-tolerant logical state preparation on a 2D grid.

Keywords: Quantum error correction; Fault-tolerance; Logical state preparation; Reinforcement learning

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