4 papers
Higher Degree -Hermitian Forms and Positivity-Preserving Contractions
Isaac Dobes
In this article we introduce higher-degree -Hermitian forms, a tubal analogue of ordinary Hermitian forms of arbitrary degree. Through a synthesis of multilinear matrix multipli…
New Identity for Cayley's First Hyperdeterminant with Applications to Symmetric Tensors and Entanglement
Isaac Dobes
In this article, a new formula for computing Cayley's first hyperdeterminant in terms of the Levi-Civita symbol is given. It is then shown that this formula can be used to compute…
Local Unitary Equivalence of Tripartite Quantum States In Terms of Trace Identities
Isaac Dobes, Naihuan Jing
In this paper we present a modified version of the proof given Jing-Yang-Zhao's paper "Local Unitary Equivalence of Quantum States and Simultaneous Orthogonal Equivalence," which e…
Cayley's First Hyperdeterminant is an Entanglement Measure
Isaac Dobes, Naihuan Jing
Previously, it was shown that both the concurrence and -tangle on -qubit pure quantum states can be expressed in terms of Cayley's first hyperdeterminant \cite{dobes2024qubi…