Abstract
Nuclear magnetic resonance (NMR) is one of the experimental schemes for quantum computation. Most initial state of quantum algorithm in NMR computation is the pseudopure state. Until now, there are several methods to prepare pseudopure state. This note, based on the idea of controlled-not (CNOT) gates combination, has analyzed the characteristics of this method in the odd- and even-qubit system. Also, we have designed the pulse sequence for a 4-qubit sample to obtain pseudopure state, and realized it in the experiment. This method reduces the complexity of experiment and gives a high signal-to-noise (S/N) ratio.
Similar content being viewed by others
References
Bennett, C. H., DiVincenzo, D. P., Quantum information and computation, Nature, 2000, 404: 247.
Jones, J. A., NMR quantum computation, Prog. NMR. Spectrosc., 2001, 38: 325.
Cirac, J. I., Zoller, P., Quantum computations with cold trapped ions, Phys. Rev. Lett., 1995, 74: 4091.
Pellizzari, T., Gardiner, S. A., Cirac, J. I. et al., Decoherence, continuous observation, and quantum computing: A cavity QED model, Phys. Rev. Lett., 1995, 75: 3788.
Marx, R., Fahmy, A. F., Myers, J. M. et al., Approaching five-bit NMR quantum computing, Phys. Rev. A, 2000, 62(1): 012310.
Chuang, I. L., Gershenfeld, N., Kubinec, M., Experimental implementation of fast quantum searching, Phys. Rev. Lett., 1998, 80(15): 3408.
Vandersypen, L. M. K., Steffen, M., Breyta, G. et al., Experimental realization of Shor’s quantum factoring algorithm using nuclear magnetic resonance, Nature, 2001, 414: 883.
Nielsen, M. A., Knill, E., Laflamme, R., Complete quantum teleportation using nuclear magnetic resonance, Nature, 1998, 396: 52.
Gershenfeld, N. A., Chuang, I. L., Bulk spin-resonance quantum computation, Science, 1997, 275: 350.
Cory, D. G., Fahmy, A. F., Havel, T. F., Ensemble quantum computing by NMR-spectroscopy, Proc. Natl. Acad. Sci. USA, 1997, 94: 1634.
Mádi, Z. L., Brüschweiler, R., Ernst, R. R., One- and two-dimensional ensemble quantum computing in spin Liouville space, J. Chem. Phys., 1998, 109(24): 10603.
Knill, E., Chuang, I., Laflamme, R., Effective pure states for bulk quantum computation, Phys. Rev. A, 1998, 57(5): 3348.
Cory, D. G., Price, M. D., Havel, T. F., Nuclear magnetic resonance spectroscopy: An experimentally accessible paradigm for quantum computing, Physica D, 1998, 120: 82.
Vandersypen, L. M. K., Yannoni, C. S., Sherwood, M. H. et al., Realization of logically labeled effective pure states for bulk quantum computation, Phys. Rev. Lett., 1999, 83(15): 3085.
Knill, E., Laflamme, R., Matinez, R. et al., An algorithmic benchmark for quantum information processing, Nature, 2000, 404: 368.
Warren, W. S., The usefulness of NMR quantum computing, Science, 1997, 277: 1688.
Vandersypen, L. M. K., Steffen, M., Breyta, G. et al., Experimental realization of an order-finding algorithm with an NMR quantum computer, Phys. Rev. Lett., 2000, 85(25): 5452.
Ernst, R. R., Bodenhausen, G., Wokaun, A., Principles of Nuclear Magnetic Resonance in One and Two Dimensions, Oxford: Oxford University Press, 1987.
Author information
Authors and Affiliations
Corresponding author
About this article
Cite this article
Yang, X., Wei, D., Luo, J. et al. Preparation of pseudopure state in nuclear spin ensemble using CNOT gates combination. Chin. Sci. Bull. 47, 1856–1860 (2002). https://doi.org/10.1360/02tb9405
Received:
Issue Date:
DOI: https://doi.org/10.1360/02tb9405