Quantum Computing: Probabilistic Quantum Error Correction Codes Within Application to NISQ Devices

In this seminar, we explore the concept of probabilistic quantum error correction (QEC) codes, which offer a promising approach to improving the quality of quantum systems affected by general noise channels. The talk covers the theoretical foundations of QEC codes, including a discussion on the generalizations of the Kill-Laflamme theorem, and presents the necessary and sufficient conditions for determining if a noise channel is probabilistically correctable.

We also highlight the trade-off between the success probability of the error-correction procedure and the quality of the code, measured by the fidelity function. The seminar further demonstrates a numerically efficient algorithm for constructing approximate QEC codes, and we examine its effectiveness through testing on both simulators and real quantum devices, specifically using publicly available IBM Quantum computers.

Tutor:
Ryszard Kukulski, a post-doctoral researcher at IT4Innovations, specialising in quantum computing and quantum error correction techniques.

Key Takeaways for Attendees:
– A deeper understanding of quantum error correction techniques from a theoretical perspective.
– Insights into important QEC theorems and conditions.
– An opportunity to observe the entire process of creating error-correcting codes, from theory to practical implementation.
– Familiarity with the Qiskit Python package and IBM Quantum devices' architecture.


More about training events provided by Czech National Competence Centre in HPC (NCC Czechia): https://www.eurocc-czechia.cz/en/trai...

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