Liz,

Apparently you don't understand QM very well. A decoherence PRODUCES an 
entanglement. All particle interactions result in entanglements of the 
interacting particles on the relations between their particle properties 
imposed by the conservation laws that govern particle interactions. 
Decoherences are particle interactions, therefore decoherences produce 
entanglements.

In general all particles are entangled with all other particles they have 
interacted with in their interaction histories....

Edgar



On Wednesday, January 22, 2014 9:25:31 PM UTC-5, Liz R wrote:
>
> On 23 January 2014 12:53, meekerdb <[email protected] <javascript:>>wrote:
>
>>  By having interacted in the (distant) past.  If the universe is a pure 
>> quantum state then it has zero entropy, which means that all the complexity 
>> and information we see is a local phenomena due to our being 
>> quasi-classical, i.e. we are effectively 'coarse graining' the world.  From 
>> this standpoint the positive information we see must be cancelled by 
>> correlations, negative information, which are ubiquitous.
>>
>> I see. So in theory the entire universe is full of entangled particle 
> pairs due to them having once upon a time all lived together in the Big 
> Bang (to misquote Italo Calvino). Wouldn't those entanglements quickly get 
> decohered by interaction with the environment, though? 
>
>

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