1202.1695 (A. Ramsak)

Spin-spin correlations of entangled qubit pairs in the Bohm
interpretation of quantum mechanics    [PDF]

A. Ramsak

A general entangled qubit pair is analyzed in the de Broglie-Bohm formalism
corresponding to two spin-1/2 quantum rotors. Several spin-spin correlators of
Bohm's hidden variables are analyzed numerically and a detailed comparison with
results obtained by standard quantum mechanics is outlined. In addition to
various expectation values the Bohm interpretation allows also a study of the
corresponding probability distributions, which enables a novel understanding of
entangled qubit dynamics. In particular, it is shown how the angular momenta of
two qubits in this formalism can be viewed geometrically and characterized by
their relative angles. For perfectly entangled pairs, for example, a compelling
picture is given, where the qubits exhibit a unison precession making a
constant angle between their angular momenta. It is also demonstrated that the
properties of standard quantum mechanical spin-spin correlators responsible for
the violation of Bell's inequalities are identical to their counterparts
emerging from the probability distributions obtained by the Bohmian approach.

View original: http://arxiv.org/abs/1202.1695