Abstract
The existence of infinite families of N × N Jacobi matrices representing the Hamiltonians of quantum spin chains with and without early state exclusion (ESE) has been shown to exist for any even N ≥ 4. However, their existence for odd N ≥ 7 has remained an open problem. In Section 3, we consider a chain of qubits experiencing nearest-neighbor interactions with environmental effects and present infinite families of 7 × 7 Jacobi matrices with and without ESE.