30 citations · 230 across the 51 of their papers we have counts for
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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…
Generating W states with braiding operators
Pramod Padmanabhan, Fumihiko Sugino, Diego Trancanelli
Braiding operators can be used to create entangled states out of product states, thus establishing a correspondence between topological and quantum entanglement. This is well-known…
Braiding quantum gates from partition algebras
Pramod Padmanabhan, Fumihiko Sugino, Diego Trancanelli
Unitary braiding operators can be used as robust entangling quantum gates. We introduce a solution-generating technique to solve the -generalized Yang-Baxter equation, for…