Rapid-state purification protocols for a Cooper pair box

E. J. Griffith; C. D. Hill; J. F. Ralph; H. M. Wiseman; Kurt Jacobs

doi:10.1103/PhysRevB.75.014511

← Back to search

Rapid-state purification protocols for a Cooper pair box

E. J. Griffith, C. D. Hill, J. F. Ralph, H. M. Wiseman, Kurt Jacobs

DOI 10.1103/PhysRevB.75.014511 · Physical Review B

T1

Active bibliographic source — not scientific approval

Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.

Abstract

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 tunneling 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.