Quantum deleting and cloning in a pseudo-unitary system

In conventional quantum mechanics, no-deleting and no-cloning theorems indicate that two different nonorthogonal states cannot be perfectly deterministically deleted cloned, respectively. Here, we investigate the deleting cloning in a pseudo-unitary system. We first present pseudo-Hermitian Hamiltonian with real eigenvalues two-qubit By using operators generated from this Hamiltonian, show it is possible to delete clone class of states, can generalized arbitrary pure qubit states. Furthermore, state discrimination, which strongly related theorem, also discussed. Last but not least, simulate mechanics post-selection, obtain success probability simulations. Pseudo-unitary are implemented limited efficiency due post-selections. Thus, probabilities simulation by less than unity, maintain theorems.