QM Talks@CBPF: Stefan Boettcher – 14.08, 16h

Our series of quantum mechanics related talks continues at full power. This week we have Stefan Boettcher (Emory) visiting us, and we have been discovering a lot of overlapping research lines! Stefan has a Science without Borders project with Renato Portugal, from the quantum information group at LNCC, and was very kind to drop by and deliver a talk here at CBPF. See the details of the talk below. See you there!

Speaker: Stefan Boettcher (Emory)

Coordinates: room 601D, CBPF. 14.08, 16:00h

Title: Renormalization Group for Quantum Walks

Abstract: Grover proposed a quantum algorithm to accomplish the search for an entry in an unstructured list that can succeed quadratically faster than any classical search algorithm. This has raised significant interest in designing theoretical and experimental implementations of such an algorithm in real, structured systems. There has been less focus on the physical engine that drives the quantum search, namely the quantum version of a random walk. Here, we analyze the asymptotic properties of such a quantum walk by developing the real-space renormalization group (RG), which we introduce for the simple walk on a line. Unitarity precludes the stochastic properties familiar from Markovian random walks. Thus, the canonical analysis of the RG-recursions at a real fixed-point is replaced by a study of chaotic attractors in the complex plane. In turn, we are rewarded with a rich phenomenology, such as localization effects, and some exact results.


One thought on “QM Talks@CBPF: Stefan Boettcher – 14.08, 16h

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )


Connecting to %s