18 citations · 19 across the 8 of their papers we have counts for
10 papers
Doubly commuting invariant and co-invariant subspaces
Sibaprasad Barik, Shubham Jain, Samir Panja
Given complex separable Hilbert spaces and bounded operators on , for , we consider the tensor product space $\mathfrak{H}:=\math…
Symmetry and AI-assisted discovery of magic-state factories
Shubham P. Jain, Adam Wills, Shraddha Singh
Magic-state distillation is a major resource cost in fault-tolerant quantum computing. The cost of a magic-state factory depends strongly on its failure rate, which grows with the…
Pairs of commuting isometries via new core operator
Shubham Jain
We study commuting isometric pairs that admit a factorization of the form for some isometry . To investigate this class, we introduce the notion o…
Quantum error correction and fault tolerance: A comprehensive tutorial
Daniel J. Spencer, Shubham P. Jain, Andrew Tanggara +4
Noise is one of the central obstacles to building useful quantum computers, and quantum error correction (QEC) provides the framework for protecting quantum information against it.…
Brown-Halmos type characterization for the tetrablock
Shubham Jain, Surjit Kumar, Milan Kumar Mal +1
In this note, we obtain a Brown-Halmos type characterization for Toeplitz operators on the Hardy space associated with the tetrablock. As an application, we show that the zero oper…
Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem
Shubham Jain, Surjit Kumar, Milan Kumar Mal +1
We introduce a Schur-Agler type class associated with the tetrablock and establish a realization theorem for this class. Furthermore, we provide a tetrablock analog of the interpol…
Toeplitz operators on the -dimensional Hartogs triangle
Shubham Jain, paramita pramanick
We formally introduce and study Toeplitz operators on the Hardy space of the -dimensional Hartogs triangle. We find a precise relation between these operators and the Toeplitz o…
A transference principle for involution-invariant functional Hilbert spaces
Santu Bera, Sameer Chavan, Shubham Jain
Let be an affine-linear involution such that and let be two domains in Let be a -in…
Quantum spherical codes
Shubham P. Jain, Joseph T. Iosue, Alexander Barg +1
We introduce a framework for constructing quantum codes defined on spheres by recasting such codes as quantum analogues of the classical spherical codes. We apply this framework to…
Operator theory on generalized Hartogs triangles
Sameer Chavan, Shubham Jain, Paramita Pramanick
We consider the family of -tuples consisting of polynomials with nonnegative coefficients which satisfy $i, j…