The surface code is a quantum error-correcting code for one logical qubit, protected by
spatially localized parity checks in two dimensions. Due to fundamental constraints from …

Fault-tolerant complexes describe surface-code fault-tolerant protocols from a single
geometric object. We first introduce fusion complexes that define a general family of fusion …

Photonics provides a viable path to a scalable fault-tolerant quantum computer. The natural
framework for this platform is measurement-based quantum computation, where fault …

Quantum error correction is a fundamental primitive of fault-tolerant quantum computing. But
in order for error correction to proceed, one must first prepare the codespace of the …

One of the central challenges for a practical fault-tolerant quantum computer is scalability. A
three-dimensional structure of optical tweezer arrays offers the potential for scaling up …

The emergence of nonrelativistic speed limits in locally interacting systems plays a
fundamental role in quantum many-body physics, ranging from the clustering of correlations …