Quantum associative memory that processes nonorthogonal patterns

A novel quantum associative memory using the quantum holography scheme is presented. The patterns stored in the model are encoded into a set of independent quantum states. It overcomes the harm of nonorthogonal by storing these independent patterns into the memory using an iterative learning algorithm. The positive operation valued measurement is performed on the selectively recalled quantum state when does the information retrieval. Computer simulations show that the model exhibits good associative ability. Benefiting from the quantum implementation, the model not only can improve the performance and storage capacity, it also may be a suitable model to explain the biological associative phenomena because the phase of oscillation is inherent in the model.