Abstract
It has been shown recently that all nuclear spin states occuring in current NMR (nuclear magnetic resonance) quantum computing experiments are separable, i.e., the spins are unentangled and can be described as a collection of classical tops. Attempts to find a classical description for the quantum gate operations in NMR quantum computation, however, have had only limited success, and it may be conjectured that such a classical description does not exist in general. This raises the intriguing question of whether quantum computing with separable states is possible.
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References
D. G. Cory, A. F. Fahmy, and T. F. Havel, Proc. Nat. Acad. Sci. USA 94, 1634 (1997).
N. A. Gershenfeld and I. L. Chuang, Science 275, 350 (1997).
N. Linden, H. Barjat, and R. Freeman, Chem. Phys. Lett. 296, 61 (1998).
J. A. Jones, M. Mosca, and R. H. Hansen, Nature 393, 344 (1998).
M. A. Nielsen, E. Knill, and R. Laflamme, Nature 396, 52 (1998).
D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, Phys. Rev. Lett. 81, 2152 (1998).
R. Laflamme, E. Knill, W. H. Zurek, P. Catasti, and S. V. S. Mariappan, Phil. Trans. Roy. Soc. London A 356, 1743 (1998).
R. Fitzgerald, Physics Today 53, 20 (2000).
S. L. Braunstein, C. M. Caves, R. Jozsa, N. Linden, S. Popescu, and R. Schack, Phys. Rev. Lett. 83, 1054 (1999).
R. Schack and C. M. Caves, Phys. Rev. A 60, 4354 (1999).
R. Schack and C. M. Caves, in Proceedings of the X. International Symposium on Theoretical Electrical Engineering, edited by W. Mathis and T. Schindler (Otto-von-Guericke University of Magdeburg, Germany, 1999), p. 73.
K. Zyczkowski, P. Horodecki, A. Sanpera, and M. Lewenstein, Phys. Rev. A 58, 883 (1998).
G. Vidal and R. Tarrach, Phys. Rev. A 59, 141 (1999).
K. Kraus, States, Effects, and Operations. Fundamental Notions of Quantum Theory (Springer, Berlin, 1983), lecture Notes in Physics Vol. 190.
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Schack, R. (2001). Quantum Computing with Separable States?. In: Averin, D.V., Ruggiero, B., Silvestrini, P. (eds) Macroscopic Quantum Coherence and Quantum Computing. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1245-5_29
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DOI: https://doi.org/10.1007/978-1-4615-1245-5_29
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