The Czech National Competence Center in HPC invites you to the Quantum Computing Seminar: Probabilistic Quantum Error Correction Codes Within Application to NISQ Devices, which will take place online and onsite at IT4Innovations on 10 April 2025.
The primary objective of this seminar is to introduce the concept of probabilistic quantum error correction (QEC) codes. It will be demonstrated that employing probabilistic QEC codes can enhance the performance of quantum systems disturbed by general noise channels. Notably, these codes allow for a reduction in the number of data qubits required for implementation. Generalizations of the Knill-Laflamme theorem will be explored, along with the formulation of necessary and sufficient conditions for determining whether a given noise channel is probabilistically correctable. Additionally, a trade-off will be highlighted between the success probability of the error-correcting procedure and the quality of the code, as quantified by the fidelity function. From an engineering perspective, the seminar will present a numerically efficient algorithm for constructing approximate QEC codes and evaluate its effectiveness. The performance of these codes will be assessed both through simulation and on actual quantum hardware, specifically using publicly accessible IBM quantum computers.
