26 citations · 104 across the 13 of their papers we have counts for
5 papers · 1 filter
How to define your dimension: A discourse on Hausdorff dimension and self-similarity
Satvik Singh
One often distinguishes between a line and a plane by saying that the former is one-dimensional while the latter is two. But, what does it mean for an object to have dimensions…
The PPT conjecture holds for all Choi-type maps
Satvik Singh, Ion Nechita
We prove that the PPT conjecture holds for linear maps between matrix algebras which are covariant under the action of the diagonal unitary group. Many salient examples, like t…
Can entanglement hide behind triangle-free graphs?
Satvik Singh
We present an alternative approach to unveil a different kind of entanglement in bipartite quantum states whose diagonal zero patterns in suitable matrix representations admit a ni…
Diagonal unitary and orthogonal symmetries in quantum theory
Satvik Singh, Ion Nechita
We analyze bipartite matrices and linear maps between matrix algebras, which are respectively, invariant and covariant, under the diagonal unitary and orthogonal groups' actions. B…
A graphical calculus for integration over random diagonal unitary matrices
Ion Nechita, Satvik Singh
We provide a graphical calculus for computing averages of tensor network diagrams with respect to the distribution of random vectors containing independent uniform complex phases.…