The quantum state cannot be interpreted statistically?by inflector Tags: interpreted, quantum, state, statistically 

#505
May1012, 01:05 AM

PF Gold
P: 670

That Hardy paper was really confusing. A video (May 8/12) from Perimeter Institute by Robert Spekkens discussing PBR but he doesn't seem persuaded to become a psiontologist:
http://pirsa.org/displayFlash.php?id=12050021 



#506
May1012, 01:34 AM

Sci Advisor
P: 4,495

Bohm2, thank you for this info. In particular, I would like to quote a part of a sentence by Spekkens above:
"... the second assumption of the theorem is an instance of preparation noncontextuality, a property that is known not to be achievable in any ontological model of quantum theory ..." That was exactly my objection too in an early stage of this thread. 



#507
May2212, 04:00 PM

PF Gold
P: 670

An interesting PhD thesis arguing for state realism that also discusses the recent PBR theorem quite a bit. Interesting, that one of the examiners for this thesis is Robert Spekkens:
The case for quantum state realism http://ir.lib.uwo.ca/cgi/viewcontent...ype=additional 



#508
May2212, 05:21 PM

Sci Advisor
PF Gold
P: 5,147

I am not saying this is actually the case, just that is how I understand the concept. The author of the cited paper (Tait) discusses some of these ideas in detail. 



#509
Jun512, 01:02 AM

P: 381

....For example, the ‘factorisability’ assumption used by PBR can be replaced by a far weaker ‘compatibility’ assumption for the preparations of uncorrelated quantum states..... in agreement with leifer. 



#510
Jun2812, 09:16 PM

PF Gold
P: 670

Another paper on PBR:
http://lanl.arxiv.org/ftp/arxiv/pape.../1206.6491.pdf 



#511
Jul812, 05:21 PM

P: 461

another, leaninng to the epistemic view (can be treated statiscally)
Epistemic view of states and communication complexity of quantum channels http://arxiv.org/pdf/1206.2961v1.pdf ...The main motivation of this paper is to show that ψepistemic theories, which are attracting increasing interest in quantum foundation, have a relevant role also in quantum communication..... 



#512
Oct1212, 12:56 PM

P: 461

becoming a trend
Physical Review Letters. 109, 150404 2012 Distinct Quantum States Can Be Compatible with a Single State of Reality http://prl.aps.org/pdf/PRL/v109/i15/e150404 ...rather whether there are multiple wave functions associated with a single real state. A natural way to understand this is as an expression of the second kind of epistemic view above—that a quantum state represents an agent’s information about an underlying reality but is not part of that reality itself... MathOverflow Psiepistemic theories in 3 or more dimensions http://mathoverflow.net/questions/95...oredimensions ...yes, maximallynontrivial ψepistemic theories do exist for every finite dimension d... Physics Stack Exchange The quantum state can be interpreted statistically, again http://physics.stackexchange.com/que...in/36390#36390 ...by the way the options are: .only one pure quantum state corrrespondent/consistent with various ontic states. .only one ontic state corrrespondent/consistent with various pure quantum states. .only one pure quantum state corrrespondent/consistent with only one ontic state. 



#513
Oct1312, 06:39 AM

P: 298

Suppose now you find a theory where the hidden variable λ uniquely defines the density operator ρ. Then, the two different preparation procedures give the system the same observable properties as the state of the hidden variable λ. 



#514
Oct1512, 08:16 PM

PF Gold
P: 670

I know this a bit late but this interview article discussing the important PBR theorem, was a very interesting one to read for 2 important reasons:
1. Why the paper wasn't published in the original submission even after provisionally being accepted 2. Describing the connection between their 2 papers that seem to arrive at different conclusions depending on one assumption: http://blogs.discovermagazine.com/co...ersusnurture/ 



#515
Oct1612, 03:28 PM

P: 461

...by the way the options are:
.only one pure quantum state corrrespondent/consistent with various ontic states. .various pure quantum states corrrespondent/consistent with only one ontic state. .only one pure quantum state corrrespondent/consistent with only one ontic state. the latest (this month paper): Distinct Quantum States Can Be Compatible with a Single State of Reality 12 October 2012. Peter G. Lewis, David Jennings, Jonathan Barrett, Terry Rudolph 



#516
Oct2312, 02:48 PM

PF Gold
P: 670





#518
Dec1412, 10:36 AM

Sci Advisor
P: 4,495

A recent explanation of the PBR theorem at a level suitable for a general physicist audience is presented here:
http://www.physicsforums.com/blog.php?b=4330 



#520
Dec1412, 05:36 PM

P: 158

I present a *nonstatistical,* realist QM interpretation in my new book:
http://www.cambridge.org/us/knowledg...US&code=L2TIQM RK 



#522
Dec1512, 08:41 AM

P: 461

..."Does there exist a maximallynontrivial ψepistemic theory in dimensions d≥3?"...
..."The answer to my (and Lewis et al.'s) question is that yes, maximallynontrivial ψepistemic theories do exist for every finite dimension $d$"... http://mathoverflow.net/questions/95...oredimensions 


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