3 papers
math.MG2020
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…
quant-ph2020
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…
math-ph2020
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.…