Implementation of quantum algorithms with Josephson charge qubits

Zheng Xiao-Hu, Ping Dong, Zheng‐Yuan Xue +1 more

Serhii E. Shafranjuk, John B. Ketterson

Jens Siewert, Rosario Fazio

We investigate the realization of a simple solid-state quantum computer by implementing the Deutsch-Jozsa algorithm in a system of Josephson charge qubits. Starting from a procedure to carry out the one-qubit Deutsch-Jozsa algorithm we show how the N -qubit version of the Bernstein-Vazirani algorithm can be realized. For the implementation of the three-qubit Deutsch-Jozsa algorithm we study in detail a set-up which allows us to produce entangled states.

Gao Guo-Jun, Zheng Xiao-Hu, Zhuo‐Liang Cao

Based on the Josephson charge qubits coupled through microwaves, a scheme for implementation of the Deutsch–Jozsa algorithm is proposed under the present scalable and feasible microfabrication technique. It would be a valuable step toward complex quantum computation.

Norbert Schuch, Jens Siewert

We show that the Deutsch-Jozsa algorithm for up to four qubits can be realized with a setup of Josephson charge qubits. While existing proposals for the implementation of the algorithm (for up to three qubits) are based on certain classifications of the oracles, this approach becomes increasingly cumbersome for higher qubit numbers. Here we present a method to implement all balanced functions for the four-qubit algorithm by a fixed sequence of operations. The free parameters which define the implemented function are the rotation angles of 15 one-qubit operations.

Yuriy Makhlin, Gerd Schön, Alexander Shnirman