Blind quantum computation with hybrid model

Blind quantum computation (BQC) allows a client who has a few quantum abilities to interact and delegate her quantum computation to a server that has strong quantum computabilities, while the server learns nothing about client’s quantum inputs, algorithms, and outputs. In this article, a new BQC protocol with hybrid model is proposed, using the combination of rotation operators to construct arbitrary quantum gate. Our BQC protocol is divided into two phases. In the first phase, a new kind of function operation is designed and defined, that is, the client sends the classical message [Formula: see text] to the server and then the sever performs a corresponding function operation [Formula: see text], which has been defined. In the second phase, a rotation operator or identity operator is implemented by quantum gate teleportation where the server can’t know which quantum gate has been teleported. Combining these two phases, the server has no idea about client’s quantum algorithms. When the server performs the corresponding operation honestly, the client only needs to perform [Formula: see text] and [Formula: see text] operators.

Universal approach to derivation of quaternion rotation formulas

This paper introduces and defines the quaternion with a brief insight into its properties and algebra. The main part of this paper is devoted to the derivation of basic equations of the vector rotation around each rotational x, y, z axis. Then, the equations of generalized quaternion rotation and express the general rotation operator is derived. Finally the utilization of equations is demonstrated on a simple example. For purposes of simplicity the quaternions theory is demonstrated around the z-axis by γ angle. For the purpose of this paper, the fact that the subspace of vector quaternions may be regarded as being equivalent to the ordinary is used.

Quaternionic Version of Rotation Groups

<p>Quaternionic version of rotation group SO(3) has been constructed. We construct<br />a quatenionic version of rotation operation that act to a quaternionic version of a<br />space coordinate vector. The computation are done for every rotation about each<br />coordinate axes (x,y, and z). The rotated quaternionic space coordinate vector con-<br />tain some unknown constants which determine the quaternionic rotation operator.<br />By solving for that constants, we get the expression of the quaternionics version<br />of the rotation operator. Finally the generators of th</p>