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Strategies & Market Trends : Quantum Economics.......2012 and Beyond -- Ignore unavailable to you. Want to Upgrade?

To: dvdw© who wrote (156)	3/1/2013 6:50:32 AM
From: dvdw©	Read Replies (1) \| Respond to of 1311

Erwin Schrödinger wrote a letter (in German) to Einstein in which he used the word Verschränkung (translated by himself as entanglement) "to describe the correlations between two particles that interact and then separate, as in the EPR experiment". [15] He shortly thereafter published a seminal paper defining and discussing the notion, and terming it "entanglement". In the paper he recognized the importance of the concept, and stated: [12] I would not call [entanglement] one but rather the characteristic trait of quantum mechanics, the one that enforces its entire departure from classical lines of thought. Outtake from link at previous post.

To: dvdw© who wrote (156)

3/1/2013 7:48:29 PM

From: dvdw©

Respond to of 1311

Transferred this information today...with respect too Gold and the shennanigans of deliberate intent......its a keeper, and can have maximum value (please note we dont use code words like sustainable here) to them that wishes to understand it.

To: TobagoJack who wrote (98901)	3/1/2013 7:59:20 AM
From: dvdw©	Read Replies (1) of 98921

Let nothing befuddle awareness. Projection Operators will have thier way. All Prices remain Artifacts of prevailing systems intent. Archive the following as permanent reference within your characterization library. The Reduced density matrices The idea of a reduced density matrix was introduced by Paul Dirac in 1930. [35] Consider as above systems and each with a Hilbert space , . Let the state of the composite system be As indicated above, in general there is no way to associate a pure state to the component system . However, it still is possible to associate a density matrix. Let . which is the projection operator onto this state. The state of is the partial trace of over the basis of system : . is sometimes called the reduced density matrix of on subsystem A. Colloquially, we "trace out" system B to obtain the reduced density matrix on A. For example, the reduced density matrix of for the entangled state discussed above is This demonstrates that, as expected, the reduced density matrix for an entangled pure ensemble is a mixed ensemble. Also not surprisingly, the density matrix of for the pure product state discussed above is e