30 citations · 230 across the 51 of their papers we have counts for
5 papers · 1 filter
Majorana fermions solve the tetrahedron equations as well as higher simplex equations
Pramod Padmanabhan, Vladimir Korepin
Yang-Baxter equations define quantum integrable models. The tetrahedron and higher simplex equations are multi-dimensional generalizations. Finding the solutions of these equations…
Algebraic classification of Hietarinta's solutions of Yang-Baxter equations~:~invertible operators
Somnath Maity, Vivek Kumar Singh, Pramod Padmanabhan +1
In order to examine the simulation of integrable quantum systems using quantum computers, it is crucial to first classify Yang-Baxter operators. Hietarinta was among the first to c…
Toffoli gates solve the tetrahedron equations
Akash Sinha, Pramod Padmanabhan, Vladimir Korepin
The circuit model of quantum computation can be interpreted as a scattering process. In particular, factorised scattering operators result in integrable quantum circuits that provi…
Solving the Yang-Baxter, tetrahedron and higher simplex equations using Clifford algebras
Pramod Padmanabhan, Vladimir Korepin
Bethe Ansatz was discoverd in 1932. Half a century later its algebraic structure was unearthed: Yang-Baxter equation was discovered, as well as its multidimensional generalizations…
Yang-Baxter solutions from commuting operators
Pramod Padmanabhan, Kun Hao, Vladimir Korepin
We construct -matrices (with a multidimensional spectral parameter) that include additive as well as non-additive parameters. They satisfy the colored Yang-Baxter equation. The…