Abstract
The precision of frequency measurements performed on trapped ions in the presence of decoherence is analysed. In particular, standard Ramsey spectroscopy on uucorrelated ions and optimal measurements on maximally entangled states are proved to lead to the same resolution, while the best precision is achieved using partially entangled preparations. The use of symrnetrisation procedures is proposed and it is shown how this allows to overcome even the optimal precision achievable when both the initial preparation and the final measurement are optimized.
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References
D. J. Wineland et al., IEEE Trans. on Ultrasonics, Ferroelectrics and Frequency Control A 37:515 (1990).
D.J. Berkeland et al., Laser-cooled mercury ion frequency standard, Phys. Rev. Lett. 80:2089 (1998).
D. Deutsch, (1993) talk presented at the Rank Prize Funds Mini-Symposium on Quantum Communication and Cryptography, Broadway, England; A. Berthiaume, D. Deutsch R. and Jozsa, in Proceedings of Workshop on Physics and Computation — PhysComp94, IEEE Computer Society Press, Dallas, Texas, (1994).
W. H. Itano et al., Quantum projection noise: population fluctuations in two-level systems, Phys. Rev. A 47:3554 (1993).
D. J. Wineland et al., Spin squeezing and reduced quantum noise in spectroscopy, Phys. Rev. A 46:RG797 (1992); D. J. Wineland et al., Squeezed atomic states and projection noise in spectroscopy, Phys. Rev. A 50:67 (1994).
A. Barenco et al., Conditional quantum dynamics and logic gates, Phys. Rev. Lett. 74:4083 (1995).
J. J. Bollinger et al., Optimal frequency measurements witli maximally correlated states, Phys. Rev. A 54:R4649 (1996).
C. W. Gardiner, “Quantum Noise”, Springer-Verlag, Berlin (1991).
S. F. Huelga, C. Macchiavello, T. Pellizzari, A. K. Ekert, M. B. Plenio and J. I. Cirac, Improvement of frequency standards with quantum enanglernent, Phys. Rev. Lett. 79:3865 (1997).
W. K. Wootters, Statistical distance and Hilbert space, Phys. Rev. D 23:357 (1981).
S. L. Braunstein and C. Caves, Statistical distance and the geometry of quantum states, Phys. Rev. Lett. 72:3439 (1994).
A. Barenco, A. Berthiaume, D. Deutsch, A. Ekert, R. Jozsa and C. Macchiavello, Stabilization of quantum computations by symmetrisation, SIAM J. Comput. 26:1541 (1997).
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© 2002 Kluwer Academic Publishers
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Macchiavello, C., Huelga, S.F., Cirac, J.I., Ekert, A.K., Plenio, M.B. (2002). Decoherence and Quantum Error Correction in Frequency Standards. In: Kumar, P., D’Ariano, G.M., Hirota, O. (eds) Quantum Communication, Computing, and Measurement 2. Springer, Boston, MA. https://doi.org/10.1007/0-306-47097-7_45
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DOI: https://doi.org/10.1007/0-306-47097-7_45
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-306-46307-5
Online ISBN: 978-0-306-47097-4
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