8 papers
Phases of decodability in the surface code with unitary errors
Yimu Bao, Sajant Anand
The maximum likelihood (ML) decoder in the two-dimensional surface code with generic unitary errors is governed by a statistical mechanics model with complex weights, which can be…
Extensive long-range magic in non-Abelian topological orders
Yuzhen Zhang, Isaac H. Kim, Yimu Bao +1
We show that the low-energy states of non-Abelian topological orders possess extensive magic which is long-ranged, and cannot be eliminated by a constant-depth local unitary circui…
Non-linear Sigma Model for the Surface Code with Coherent Errors
Stephen W. Yan, Yimu Bao, Sagar Vijay
The surface code is a promising platform for a quantum memory, but its threshold under coherent errors remains incompletely understood. We study maximum-likelihood decoding of the…
No-go theorems for sequential preparation of two-dimensional chiral states via channel-state correspondence
Ruihua Fan, Yantao Wu, Yimu Bao +1
We investigate whether sequential unitary circuits can prepare two-dimensional chiral states, using a correspondence between sequentially prepared states, isometric tensor network…
Phases of Floquet code under local decoherence
Yuchen Tang, Yimu Bao
Floquet code is a dynamical quantum memory with a periodically evolving logical space. As a defining feature, the code exhibits an anyon automorphism after each period, giving rise…
Designs from magic-augmented Clifford circuits
Yuzhen Zhang, Sagar Vijay, Yingfei Gu +1
We introduce magic-augmented Clifford circuits -- architectures in which Clifford circuits are preceded and/or followed by constant-depth circuits of non-Clifford (``magic") gates…