24 citations · 27 across the 7 of their papers we have counts for
14 papers
Groupoid Toric Codes
Pramod Padmanabhan, Indrajit Jana
The toric code can be constructed as a gauge theory of finite groups on oriented two dimensional lattices. Here we construct analogous models with the gauge fields belonging to gro…
Non-CSS color codes on 2D lattices : Models and Topological Properties
Pramod Padmanabhan, Abhishek Chowdhury, Fumihiko Sugino +2
The two-dimensional color code is an alternative to the toric code that encodes more logical qubits while maintaining crucial features of the toric…
Novel quantum phases on graphs using abelian gauge theory
Pramod Padmanabhan, Fumihiko Sugino
Graphs are topological spaces that include broader objects than discretized manifolds, making them interesting playgrounds for the study of quantum phases not realized by symmetry…
Frustration-free Hamiltonian with Topological Order on Graphs
Pramod Padmanabhan, Jintae Kim, Jung Hoon Han
It is commonly believed that models defined on a closed one-dimensional manifold cannot give rise to topological order. Here we construct frustration-free Hamiltonians which posses…
Matrix Product Wave Function of the Ground State and Elementary Excitation in the Spin-1/2 Chain
Jintae Kim, Minsoo Kim, Pramod Padmanabhan +2
We present a variational matrix product state (vMPS) for the ground state of the spin-1/2 Heisenberg model. The MPS effectively organizes the various dimer configurations, in faith…
Local invariants of braiding quantum gates -- associated link polynomials and entangling power
Pramod Padmanabhan, Fumihiko Sugino, Diego Trancanelli
For a generic -qubit system, local invariants under the action of characterize non-local properties of entanglement. In general, such properties a…