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We consider a one-dimensional chain of many superconducting quantuminterference devices (SQUIDs), serving as charge qubits. Each SQUID is coupledto its nearest neighbors through constant capacitances. We study the quantumlogic operations and implementation of entanglement in this system.  Arrays with two and three qubits are considered in detail. We show that thecreation of entanglement with an arbitrary number of qubits can be implemented,without systematic errors, even when the coupling between qubits is not small.A relatively large coupling constant allows one to increase the clock speed ofthe quantum computer. We analytically and numerically demonstrate the creationof the entanglement for this case, which can be a good test for theexperimental implementation of a relatively simple quantum protocol with manyqubits. We discuss a possible application of our approach for implementinguniversal quantum logic for more complex algorithms by decreasing the couplingconstant and, correspondingly, decreasing the clock speed. The errorsintroduced by the long-range interaction for the universal logic gates areestimated analytically and calculated numerically. Our results can be usefulfor experimental implementation of quantum algorithms using controlled magneticfluxes and gate voltages applied to the SQUIDs. The algorithms discussed inthis paper can be implemented using already existing technologies insuperconducting systems with constant inter-qubit coupling.Comment: 24 page

physical review. b, condensed matter and materials physics

Quantum logic operations and creation of entanglement in a scalable superconducting quantum computer with long-range constant interaction between qubits