¨¸Ó³ ¢ —Ÿ. 2007. ’. 4, º 2(138). ‘. 208Ä213 ŠŒœā’…÷›… ’…•‹ƒˆˆ ”ˆ‡ˆŠˆ ENTANGLED SOLITONS AND STOCHASTIC Q-BITS Yu. P. Rybakov a,1 , T. F. Kamalov b,2 a Department of Theoretical Physics, Peoples' Friendship University of Russia, Moscow b Physics Department, Moscow State Opened University, Moscow Stochastic realization of the wave function in quantum mechanics with the inclusion of soliton representation of extended particles is discussed. Two-solitons conˇgurations are used for constructing entangled states in generalized quantum mechanics dealing with extended particles, endowed with nontrivial spin S. Entangled solitons construction being introduced in the nonlinear spinor ˇeld model, the EinsteinÄPodolskyÄRosen (EPR) correlation is calculated and shown to coincide with the quantum mechanical one for the 1/2-spin particles. The concept of stochastic q-bits is used for quantum computing modelling. ¡¸Ê¦¤ ¥É¸Ö ¸ÉμÌ ¸É¨Î¥¸± Ö ·¥ ²¨§ Í¨Ö ¢μ²´μ¢μ° ËÊ´±Í¨¨ ¢ ±¢ ´Éμ¢μ° ³¥Ì ´¨±¥ ´ μ¸´μ¢¥ ¸μ²¨Éμ´´μ£μ ¶·¥¤¸É ¢²¥´¨Ö ¶·μÉÖ¦¥´´ÒÌ Î ¸É¨Í. „²Ö ¶μ¸É·μ¥´¨Ö § ¶ÊÉ ´´ÒÌ ¸μ¸ÉμÖ´¨° ¢ μ¡μ¡- Ð¥´´μ° ±¢ ´Éμ¢μ° ³¥Ì ´¨±¥ ¶·μÉÖ¦¥´´ÒÌ Î ¸É¨Í ¸μ ¸¶¨´μ³ S ¨¸¶μ²Ó§Ê¥É¸Ö ¤¢ÊÌ¸μ²¨Éμ´´Ò¥ ±μ´- ˨£Ê· Í¨¨. Šμ´¸É·Ê±Í¨Ö § ¶ÊÉ ´´ÒÌ ¸μ²¨Éμ´μ¢ ¢ ³μ¤¥²¨ ´¥²¨´¥°´μ£μ ¸¶¨´μ·´μ£μ ¶μ²Ö ¶·¨³¥´Ö- ¥É¸Ö ¤²Ö ¢ÒΨ¸²¥´¨Ö ¸¶¨´μ¢μ° ±μ··¥²Öͨ¨ °´ÏÉ¥°´ Äμ¤μ²Ó¸±μ£μÄ÷짥´ (÷), ¨ ¶μ± § ´μ, ÎÉμ μ´ ¸μ¢¶ ¤ ¥É ¸ ±¢ ´Éμ¢μ° ÷-±μ··¥²Öͨ¥° ¤²Ö Π¸É¨Í ¸¶¨´ 1/2. „²Ö ³μ¤¥²¨·μ¢ ´¨Ö ±¢ ´Éμ¢ÒÌ ¢ÒΨ¸²¥´¨° ¨¸¶μ²Ó§Ê¥É¸Ö ±μ´Í¥¶Í¨Ö ¸ÉμÌ ¸É¨Î¥¸±¨Ì ±Ê¡¨Éμ¢. INTRODUCTION. WAVE-PARTICLE DUALISM AND SOLITONS As the ˇrst motivation for introducing stochastic representation of the wave function let us consider the de Broglie plane wave ψ = A e −ikx = A e −iωt+i(kr) for a free particle with the energy ω, momentum k, and mass m, when the relativistic relation k 2 = ω 2 − k 2 = m 2 holds (in natural units  = c =1). Suppose, following L. de Broglie [1] and A. Einstein [2], that the structure of the particle is described by a regular bounded function u(t, r), which is supposed to satisfy some nonlinear equation with the KleinÄGordon linear part. Let ℓ 0 =1/m be the characteristic size of the soliton solution u(t, r) moving with the velocity v = k/ω. 1 E-mail: soliton4@mail.ru 2 E-mail: ykamalov@rambler.ru