Implementing a deterministic search algorithm with a single qubit

Abstract Quantum search algorithms have important applications in quantum information, which been experimentally demonstrated several systems with database sizes up to 16. We first propose an efficient scheme based on optimized Grover’s algorithm and a novel encoding method. With this scheme, target element can be deterministically searched large using only single qubit. Then we implement linear optics 40. Experimental results fit well the theoretical results, all fidelities greater than 99.7%. The limitation of number elements encoded qubit is also investigated experiment. experimental indicate that state successfully from size 36 our laboratory. Since one one-qubit gates are required, quite general, adopted same task most systems.