50 citations · 126 across the 3 of their papers we have counts for
9 papers
Efficiently preparing Schrödinger's cat, fractons and non-Abelian topological order in quantum devices
Ruben Verresen, Nathanan Tantivasadakarn, Ashvin Vishwanath
Long-range entangled quantum states -- like cat states and topological order -- are key for quantum metrology and information purposes, but they cannot be prepared by any scalable…
Non-Abelian Hybrid Fracton Orders
Nathanan Tantivasadakarn, Wenjie Ji, Sagar Vijay
We introduce lattice gauge theories which describe three-dimensional, gapped quantum phases exhibiting the phenomenology of both conventional three-dimensional topological orders a…
Hybrid Fracton Phases: Parent Orders for Liquid and Non-Liquid Quantum Phases
Nathanan Tantivasadakarn, Wenjie Ji, Sagar Vijay
We introduce hybrid fracton orders: three-dimensional gapped quantum phases that exhibit the phenomenology of both conventional three-dimensional topological orders and fracton ord…
Disentangling supercohomology symmetry-protected topological phases in three spatial dimensions
Yu-An Chen, Tyler D. Ellison, Nathanan Tantivasadakarn
We build exactly solvable lattice Hamiltonians for fermionic symmetry-protected topological (SPT) phases in (3+1)D classified by group supercohomology. A central benefit of our con…
Jordan-Wigner Dualities for Translation-Invariant Hamiltonians in Any Dimension: Emergent Fermions in Fracton Topological Order
Nathanan Tantivasadakarn
Inspired by recent developments generalizing Jordan-Wigner dualities to higher dimensions, we develop a framework of such dualities using an algebraic formalism for translation-inv…
Searching for Fracton Orders via Symmetry Defect Condensation
Nathanan Tantivasadakarn, Sagar Vijay
We propose a set of constraints on the ground-state wavefunctions of fracton phases, which provide a possible generalization of the string-net equations used to characterize topolo…