148 citations · 757 across the 21 of their papers we have counts for
4 papers · 1 filter
Branching MERA codes: a natural extension of polar codes
Andrew J. Ferris, David Poulin
We introduce a new class of circuits for constructing efficiently decodable error-correction codes, based on a recently discovered contractible tensor network. We perform an in-dep…
Tensor Networks and Quantum Error Correction
Andrew J. Ferris, David Poulin
We establish several relations between quantum error correction (QEC) and tensor network (TN) methods of quantum many-body physics. We exhibit correspondences between well-known fa…
Fourier transform of fermionic systems and the spectral tensor network
Andrew J. Ferris
Leveraging the decomposability of the fast Fourier transform, I propose a new class of tensor network that is efficiently contractible and able to represent many-body systems with…
The area law and real-space renormalization
Andrew J. Ferris
Real-space renormalization-group techniques for quantum systems can be divided into two basic categories - those capable of representing correlations following a simple boundary (o…