Monday, April 4th, h 15,00 - zoom link:
https://unipd.zoom.us/j/367589168
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Marco Ballarin - PhD student
Title:
An introduction to quantum error correction
Abstract:
Quantum computers are promising machines expected to speed up some classical computations and perform quantum simulations. However, their results are strongly affected by noise and errors. Thus, these results cannot be fully trusted. For this reason, quantum error correction techniques have been developed to reduce those errors. These techniques involve a high number of qubits, forbidding a scaling analysis using exact diagonalization methods. For this reason, using tensor networks allows us to overcome this issue and study the scaling properties of quantum error correction codes.
In this seminar, we review some of the errors that can affect quantum computers. Then, we introduce the framework of quantum error correction, focusing on the stabilizers codes. We treat in detail the 7-qubits Steane code, as an example of stabilizer codes. Finally, we introduce quantum trajectories, a method to simulate noisy evolutions with Matrix Product States.