A frame-cyclic noise reduction device of an image display device, in which one field is divided into a plurality of sub-fields, and turned-on sub-fields are properly combined to provide an image with gradation. The quantum phase estimator receives at least one ancillary qubit and a calculational state comprised of multiple qubits. The base and member have passages through which a gas is delivered to be included with the product in the bags being formed. In one aspect, the mobile station utilizes random access procedures for uplink data arrival with a 0-byte MAC buffer status report whose identifying Cell Radio Network Temporary Identity can be used by the serving RAN for keep alive purposes.