Magic state generation is a key ingredient in quantum computing, and until recently it was believed to consume a large amount of computational resources.

Magic state cultivation is a newly proposed protocol that represents the state of the art in magic state generation, drastically reducing the required resources.
 

In this talk, I will present several protocols for magic state injection and cultivation that provide an additional reduction to the state-of-the-art resource estimates. I will discuss their efficiency when operating with erasure qubits and under noise models relevant to neutral atoms and ions. I will also review two proposals for long-range gates for superconducting qubits.

The talk will be based on the following papers:

[1] Yotam Vaknin, Shoham Jacoby, Arne Grimsmo, Alex Retzker.  Efficient Magic State Cultivation on the Surface Code arXiv:2502.01743
[2] Shoham Jacoby, Yotam Vaknin, Alex Retzker, Arne L. Grimsmo, Magic State Injection with Erasure Qubits. PRX quantum (2025).
[3] Alexey V. Gorshkov, Daniel Cohen, Arbel Haim, Amit Rotem, Or Golan, Gihwan Kim, Andreas Butler, Connor T. Hann, Oskar Painter, Fernando G. S. L. Brandão, Alex Retzker, Cavity-mediated cross-cross-resonance gate.