Sergey KUN
Center of Physical Sciences, UNAM,
Cuernavaca, Morelos,
Center for Nonlinear Physics and Department of Theoretical Physics
Canberra ACT 0200,

Slow phase relaxation can prevent meltdown in quantum computers

We show that phase memory can be much longer than energy relaxation in systems with exponentially large dimensions of Hilbert space [1]; this finding is documented by fifty years of nuclear experiments, though the information is somewhat hidden. For quantum computers Hilbert spaces of dimention of 2^100 (2 in power 100) or larger will be typical and therefore this effect may contribute significantly to reduce the problems of scaling of quantum computers to a useful number of qubits. We propose a theoretical interpretation of the anomalously long phase memory based on the study of highly excited microscopic many-body systems [2-5].

[1] J. Flores, S.Yu. Kun, T. Seligman, submitted.
[2] S.Yu. Kun, B.A. Robson, A.V. Vagov, Phys. Rev. Lett., vol. 83, 504 (1999).
[3] S.Yu. Kun, Phys. Rev. Lett., vol. 84, 423 (2000), and refs. therein.
[4] Wang Qi, S.Yu. Kun et al., Int. J. Mod. Phys. E, vol. 12, 377 (2003), and refs. therein.
[5] S.Yu. Kun, L. Benet, L.T. Chadderton, W. Greiner, F. Haas, Phys. Rev. C, vol. 67, 011604(R) (2003), and refs. therein.