In this general article, we map the one-dimensional trans-verse field quantum Ising model of ferromagnetism to Kitaev’s one-dimensional p-wave superconductor, which has application in fault-tolerant topological quantum computing. Kitaev chain is an example of a new class of quantum critical phenomena—the topological phase transition. Mapping Pauli’s spin operators of transverse field quantum Ising chain to spinless fermionic creation and annihilation operators by inverse Jordan–Wigner transformation leads to a Hamiltonian form closely related Kitaev chain.