> On 28 Oct 2018, at 13:21, agrayson2...@gmail.com wrote:
> 
> 
> 
> On Sunday, October 28, 2018 at 9:27:56 AM UTC, Bruno Marchal wrote:
> 
>> On 25 Oct 2018, at 17:12, agrays...@gmail.com <javascript:> wrote:
>> 
>> 
>> 
>> On Tuesday, October 23, 2018 at 10:39:11 PM UTC, agrays...@gmail.com 
>> <http://gmail.com/> wrote:
>> If a system is in a superposition of states, whatever value measured, will 
>> be repeated if the same system is repeatedly measured.  But what happens if 
>> the system is in a mixed state? TIA, AG
>> 
>> If you think about it, whatever value you get on a single trial for a mixed 
>> state, repeated on the same system, will result in the same value measured 
>> repeatedly. If this is true, how does measurement distinguish superposition 
>> of states, with mixed states? AG
> 
> That is not correct. You can distinguish a mixture of particles in the up or 
> down states with a set of 1/sqrt(2)(up+down) by measuring them with the 
> {1/sqrt(2)(up+down), 1/sqrt(2)(up-down}) discriminating apparatus. With the 
> mixture, half the particles will be defected in one direction, with the pure 
> state, they will all pass in the same direction. Superposition would not have 
> been discovered if that was not the case.
> 
> And someone will supply the apparatus measuring (up + down), and (up - down)? 
> No such apparatuses are possible since those states are inherently 
> contradictory. We can only measure up / down. AG

You can do the experience by yourself using a simple crystal of calcium (CaCO3, 
Island Spath), or with polarising glass. Or with Stern-Gerlach devices and 
electron spin. Just rotating (90° or 180°) an app/down apparatus, gives you an 
(up + down)/(up - down) apparatus. 

Buy the book by David Albert. It will help you a lot, I think.

Bruno





> 
> Bruno
> 
> 
> 
> 
> 
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