111 citations · 612 across the 20 of their papers we have counts for
20 papers
Deformed LDPC codes with spontaneously broken non-invertible duality symmetries
Pranay Gorantla, Tzu-Chen Huang
Low-density parity check (LDPC) codes are a well known class of Pauli stabiliser Hamiltonians that furnish fixed-point realisations of nontrivial gapped phases such as symmetry bre…
String-Membrane-Nets from Higher-Form Gauging: An Alternate Route to -String Condensation
Pranay Gorantla, Abhinav Prem, Nathanan Tantivasadakarn +1
We present a new perspective on the -string condensation procedure for constructing 3+1D fracton phases by implementing this process via the gauging of higher-form symmetries. S…
Entanglement renormalization of fractonic anisotropic Laplacian models
Yuan Xue, Pranay Gorantla, Zhu-Xi Luo
Gapped fracton phases constitute a new class of quantum states of matter which connects to topological orders but does not fit easily into existing paradigms. They host unconventio…
Duality-preserving deformation of 3+1d lattice gauge theory with exact gapped ground states
Pranay Gorantla, Tzu-Chen Huang
We propose and analyze a deformation of the 3+1d lattice gauge theory that preserves the non-invertible Wegner duality symmetry at the self-dual point. We identify a…
Tensor networks for non-invertible symmetries in 3+1d and beyond
Pranay Gorantla, Shu-Heng Shao, Nathanan Tantivasadakarn
Tensor networks provide a natural language for non-invertible symmetries in general Hamiltonian lattice models. We use ZX-diagrams, which are tensor network presentations of quantu…
On the size of maximum cut in planar graphs
Pranay Gorantla, Santhoshini Velusamy
We show that the size of maximum cut in a planar graph with edges is at least . We also show that maximal planar graphs saturate this bound.