16 citations · 32 across the 9 of their papers we have counts for
10 papers
Symmetric Grassmann Formulas: Monotone Dimension-Defect Hierarchies
Masoud Gharahi, Diego Ponterio
We study the dimension defect of finitely many subspaces over an arbitrary field. We derive a symmetric, nonrecursive Grassmann-type formula for the dimension of their sum. The for…
On the Kronecker Products of Symmetric Persistent Tensors
Masoud Gharahi
Persistent tensors form a recursively defined class adapted to the substitution method and provide nontrivial lower bounds on tensor rank. We study the behavior of symmetric persis…
-Multiranks of Multipartite Quantum States via Tensor Flattening: A Mathematica Codebase
Masoud Gharahi
We present a Mathematica codebase for computing -multilinear ranks (-multiranks) of multiqudit quantum states using tensor-flattening techniques. By calculating the ran…
Pseudo quantum advantages in perceptron storage capacity
Fabio Benatti, Masoud Gharahi, Giovanni Gramegna +2
We investigate a generalized quantum perceptron architecture characterized by an oscillating activation function with a tunable frequency ranging from zero to infinity. Employing a…
Symmetric Persistent Tensors and their Hessian
Masoud Gharahi, Giorgio Ottaviani
Persistent tensors, introduced in [Quantum 8 (2024), 1238], and inspired by quantum information theory, form a recursively defined class of tensors that remain stable under the sub…
Entangled Subspaces through Algebraic Geometry
Masoud Gharahi, Stefano Mancini
We propose an algebraic geometry-inspired approach for constructing entangled subspaces within the Hilbert space of a multipartite quantum system. Specifically, our method employs…
Classifying Entanglement by Algebraic Geometry
Masoud Gharahi
Quantum Entanglement is one of the key manifestations of quantum mechanics that separate the quantum realm from the classical one. Characterization of entanglement as a physical re…
Persistent Tensors and Multiqudit Entanglement Transformation
Masoud Gharahi, Vladimir Lysikov
We construct a lower bound of the tensor rank for a new class of tensors, which we call persistent tensors. We present three specific families of persistent tensors, of which the l…
An Algebraic-Geometric Characterization of Tripartite Entanglement
Masoud Gharahi, Stefano Mancini
To characterize entanglement of tripartite systems, we employ algebraic-geometric tools that are invariants under Stochastic Lo…
Fine-Structure Classification of Multiqubit Entanglement by Algebraic Geometry
Masoud Gharahi, Stefano Mancini, Giorgio Ottaviani
We present a fine-structure entanglement classification under stochastic local operation and classical communication (SLOCC) for multiqubit pure states. To this end, we employ spec…