  We study the Majorana representation of quantum states using symmetry class
of tensors. We present a simple method to construct $d-1$ points on the Bloch
sphere and their corresponding $d-1$ qubits, effectively representing a
$d$-dimensional quantum state. Additionally, we demonstrate how the inner
product of two $d$-dimensional quantum states can be expressed as a permanent
of a matrix related to their $(d-1)$-qubit state representations. Furthermore,
we discuss the implications of this result on the convexity of a specific
decomposable numerical range.

Quantum Physics