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We describe a simple, practical scheme for generating multi-qubit W states inresonator-based architectures, in which N Josephson phase qubits arecapacitively coupled to a common resonator bus. The entire control sequenceconsists of three pulses: a local Rabi pulse that excites a single qubit in thecircuit; a coupling pulse that transfers the qubit excitation to the resonatorbus; and the main, entangling operation that simultaneously couples the bus toall N qubits. If the qubit-resonator coupling strength g is much smaller thanthe qubit energy splitting, the system initially excited into thenear-degenerate single-excitation subspace stays within that subspace, whilesmoothly evolving toward the fully uniform W state superposition. The durationof the final entangling operation is found to decrease with the total number ofthe qubits according to t = pi/[2gN^(1/2)], in agreement with some of thepreviously proposed cavity QED W state generation schemes.

Simple protocol for generating W states in resonator-based quantum computing architectures