Rapid state purification protocols for a Cooper pair box

Details Rapid state purification protocols for a Cooper pair box Rapid state purification protocols for a Cooper pair box

2006-10-06

arxiv.org/abs/quant-ph/0610044v2

Phys. Rev. B 75, 014511 (2007)

Physics

Quantum Physics

14 pages, 14 figures. v2: Revised version after referee comments. Accepted for publication by Physical Review B

Scientific paper

10.1103/PhysRevB.75.014511

We propose techniques for implementing two different rapid state purification schemes, within the constraints present in a superconducting charge qubit system. Both schemes use a continuous measurement of charge (z) measurements, and seek to minimize the time required to purify the conditional state. Our methods are designed to make the purification process relatively insensitive to rotations about the x-axis, due to the Josephson tunnelling Hamiltonian. The first proposed method, based on the scheme of Jacobs [Phys. Rev. A 67, 030301(R) (2003)] uses the measurement results to control bias (z) pulses so as to rotate the Bloch vector onto the x-axis of the Bloch sphere. The second proposed method, based on the scheme of Wiseman and Ralph [New J. Phys. 8, 90 (2006)] uses a simple feedback protocol which tightly rotates the Bloch vector about an axis almost parallel with the measurement axis. We compare the performance of these and other techniques by a number of different measures.

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