Phase-free ZX diagrams are CSS codes (... or how to graphically grok the surface code)
A Kissinger - arxiv preprint arxiv:2204.14038, 2022 - arxiv.org
In this paper, we demonstrate a direct correspondence between phase-free ZX diagrams, a
graphical notation for representing and manipulating a certain class of linear maps on …
graphical notation for representing and manipulating a certain class of linear maps on …
CSS code surgery as a universal construction
A Cowtan, S Burton - Quantum, 2024 - quantum-journal.org
We define code maps between Calderbank-Shor-Steane (CSS) codes using maps between
chain complexes, and describe code surgery between such codes using a specific colimit in …
chain complexes, and describe code surgery between such codes using a specific colimit in …
ZX-calculus is Complete for Finite-Dimensional Hilbert Spaces
The ZX-calculus is a graphical language for reasoning about quantum computing and
quantum information theory. As a complete graphical language, it incorporates a set of …
quantum information theory. As a complete graphical language, it incorporates a set of …
Algebraic aspects of boundaries in the Kitaev quantum double model
We provide a systematic treatment of boundaries based on subgroups K⊆ G for the Kitaev
quantum double D (G) model in the bulk. The boundary sites are representations of a∗ …
quantum double D (G) model in the bulk. The boundary sites are representations of a∗ …
Lattice Surgery for Dummies
Quantum error correction (QEC) plays a crucial role in correcting noise and paving the way
for fault-tolerant quantum computing. This field has seen significant advancements, with new …
for fault-tolerant quantum computing. This field has seen significant advancements, with new …
Generating logical magic states with the aid of non-Abelian topological order
SJ Huang, Y Chen - arxiv preprint arxiv:2502.00998, 2025 - arxiv.org
In fault-tolerant quantum computing with the surface code, non-Clifford gates are crucial for
universal computation. However, implementing these gates using methods like magic state …
universal computation. However, implementing these gates using methods like magic state …
[PDF][PDF] Completeness of graphical languages for finite dimensional Hilbert spaces
Completeness of graphical languages for finite dimensional Hilbert spaces Page 1
Completeness of graphical languages for finite dimensional Hilbert spaces Razin A. Shaikh1,2 …
Completeness of graphical languages for finite dimensional Hilbert spaces Razin A. Shaikh1,2 …