q-analog qudit Dicke states
David Raveh, Rafael I. Nepomechie · Journal of Physics A Mathematical and Theoretical · 2024
Abstract Dicke states are completely symmetric states of multiple qubits (2-level systems), and qudit Dicke states are theird-level generalization. We define hereq-deformed qudit Dicke states using the quantum algebra suq(d) . We show that these states can be compactly expressed as a weighted sum over permutations withq-factors involving the so-called inversion number, an important permutation statistic in Combinatorics. We use this result to compute the bipartite entanglement entropy of these states. We also discuss the preparation of these states on a quantum computer, and show that introducing aq-dependence does not change the circuit gate count.