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If you insist that they are entangled what is the state of the system 1&4?
ps What do you call Einstein causality?
ps What do you call Einstein causality?
That’s the whole point of this discussion. Do you consider that in entanglement swapping particles 1 and 4 interacted in any way?javisot20 said:Does something in QM prevent two particles that have never interacted in any sense or share preparation from acting in a quantum-correlated way in experiments by chance? Or is it simply improbable?
I don't have enough knowledge to answer... but after reading this thread and the one on interpretations of quantum mechanics I needed that answer to understand the conversation that is being held here. (I can't find the explicit answer in the papers)pines-demon said:That’s the whole point of this discussion. Do you consider that in entanglement swapping particles 1 and 4 interacted in any way?
Perhaps I can help, at least discussing the cases of whether the 1&4 or 2&3 photons interact in any way. This is the 2012 paper by Zeilinger's team, in which the 2 & 3 interaction variable is the primary objective of the paper - and no interaction between 1 & 4.javisot20 said:I don't have enough knowledge to answer [whether the 1 & 4 particles interacted in any way]... but after reading this thread and the one on interpretations of quantum mechanics I needed that answer to understand the conversation that is being held here. (I can't find the explicit answer in the papers)
In the 2012 Ma experiment, the 1 & 4 system is |Φ-> for all the reported cases in Figure 3a). For the reported Separable State cases in 3b), they are either |HH> or |VV> which of course is not entangled.martinbn said:If you insist that they are entangled what is the state of the system 1&4?
ps What do you call Einstein causality?
You failed to quote anything that you actually interpreted correctly. Yes, measurements on photons 1 & 4 alone show no correlation in these experiments UNLESS there is a specific outcome at the BSM - AND there is interaction (interference) between 2 & 3 at the BSM as well.martinbn said:I read it. I am quoting it! They say that the set of measurments on 1&4 shows no correlation. Only the subset for those trials on which Victor obtained a one of the possible outcomes of his measurment.
In the interpretation @DrChinese is using, where the quantum state describes individual runs of the experiment, the state of the system 1&4 for each individual run is the appropriate Bell state induced by the swap operation on 2&3 for that run.martinbn said:If you insist that they are entangled what is the state of the system 1&4?
My question about the state meant to point out that it makes no sense to talk about it since they have never coexisted. If 1&4 have never coexisted what does it mean to be in a given state!PeterDonis said:In the interpretation @DrChinese is using, where the quantum state describes individual runs of the experiment, the state of the system 1&4 for each individual run is the appropriate Bell state induced by the swap operation on 2&3 for that run.
In a statistical interpretation, the state you assign depends on what subset of runs you are doing statistics on. If you take the entire set of runs, without picking out any subsets, then the state of 1&4 is the appropriate mixed density matrix that shows no correlations. If you pick out subsets of runs corresponding to particular outputs of the swap operation on 2&3, then the state of 1&4 for those subsets is the corresponding Bell state, as above.
What you can't do is take the entire set of runs, point out that that set shows no correlation between 1&4, and then use that as a basis for an assertion that 1&4 are not entangled in individual runs. The "no correlation" statistics are only relevant for a statistical interpretation. On an interpretation that assigns quantum states to individual runs, there is no such thing as "no correlation"; every run (or more precisely every run where a swap takes place, but that's sufficient for this discussion) puts 1&4 into some definite Bell state. There are no runs where a swap takes place but there is no correlation between 1&4.
In other words, as far as I can tell, you and @DrChinese are talking past each other because you are using different, incompatible interpretations.
Even if two particles have never interacted you can write their state quantum mechanically. In the case of entanglement swapping, the math of QM tells us how to write the state.martinbn said:My question about the state meant to point out that it makes no sense to talk about it since they have never coexisted. If 1&4 have never coexisted what does it mean to be in a given state!
I am not talking about particles that haven't interacted, but about particles that haven't coexisted. If you have a photon that was emitted and absorbed a year ago and another that was emitted and absorbed today, does it make sense to talk about the state of the two photon system?pines-demon said:Even if two particles have never interacted you can write their state quantum mechanically. In the case of entanglement swapping, the math of QM tells us how to write the state.
I might need to check this with spacetime plots, but if two worldlines that are not casually tied can't you just find a reference frame where both are simultaneous?martinbn said:I am not talking about particles that haven't interacted, but about particles that haven't coexisted. If you have a photon that was emitted and absorbed a year ago and another that was emitted and absorbed today, does it make sense to talk about the state of the two photon system?
My “interpretation” is just standard QM, I.e. the predictions thereof. It predicts perfect correlation in certain situations, in principle with each and every run. But limitations in real world experiments do not achieve that.martinbn said:If @DrChinese is using an interpretation, then i have no problem with his claims. But it seems to me that he insists that his discription is the only posssible one.
And yet such 2 photon state has been so described, and has been produced experimentally. Publication: Phys. Rev. Lett. 110, 210403 (2013), so hopefully not too much to question here.martinbn said:I am not talking about particles that haven't interacted, but about particles that haven't coexisted. If you have a photon that was emitted and absorbed a year ago and another that was emitted and absorbed today, does it make sense to talk about the state of the two photon system?
It is not true that 2 distant events in spacetime A & B must necessarily demonstrate some reference frame in which order is reversed. It is dependent on the distance between them in both space and time.pines-demon said:I might need to check this with spacetime plots, but if two worldlines that are not casually tied can't you just find a reference frame where both are simultaneous?
The correlations predicted by QM are not disputed. What's disputed is their significance re/ nonlocal influence. It is my position - and Peres's, Fuchs's, Brun's, Griffiths's et al - that ordinary QM doesn't necessarily imply nonlocal influence.DrChinese said:My “interpretation” is just standard QM, I.e. the predictions thereof. It predicts perfect correlation in certain situations, in principle with each and every run. But limitations in real world experiments do not achieve that.
Similarly, what these experiments show is that we can induce Bell-inequality-violating correlations between outcomes of measurements on photons that never coexisted, but we can give accounts of these correlations without recourse to nonlocal influence.DrChinese said:And yet such 2 photon state has been so described, and has been produced experimentally. Publication: Phys. Rev. Lett. 110, 210403 (2013), so hopefully not too much to question here.
Entanglement Between Photons that have Never Coexisted
"Entanglement swapping creates correlations between the first and last photons non-locally not only in space, but also in time. ...
Nevermind reversing the order, if two events are not connected causally (space-like separated) you can always find a non-accelerated frame when you can treat the two events as if the events started at the same time.DrChinese said:It is not true that 2 distant events in spacetime A & B must necessarily demonstrate some reference frame in which order is reversed. It is dependent on the distance between them in both space and time.
Suppose A and B start with synchronized clocks. At T=0, A makes her measurement. At T=3 nanoseconds, B makes his measurement. If A and B are separated by less than a meter (approximately), there is no reference frame (accelerated or not) in which B appears to occur before A.
I am not so well versed in Special Relativity regarding accelerated reference frames. If I am incorrect, please set me on the right path.![]()
What do these authors propose to interpret the entanglement correlations?Morbert said:The correlations predicted by QM are not disputed. What's disputed is their significance re/ nonlocal influence. It is my position - and Peres's, Fuchs's, Brun's, Griffiths's et al - that ordinary QM doesn't necessarily imply nonlocal influence.
Coexistence does not matter much if you use nonlocal interactions...Morbert said:Similarly, what these experiments show is that we can induce Bell-inequality-violating correlations between outcomes of measurements on photons that never coexisted, but we can give accounts of these correlations without recourse to nonlocal influence.
If you can’t flip the order in some reference frame, they cannot be made to look simultaneous either.pines-demon said:Nevermind reversing the order, if two events are not connected causally (space-like separated) you can always find a non-accelerated frame when you can treat the two events as if the events started at the same time.
I hear of the existence of these “accounts”. And I literally have a hundred+ bookmarks for various ones making similar claims. I cannot find anything at all that actually* maintains strict local/Einsteinian causality.Morbert said:The correlations predicted by QM are not disputed. …what these experiments show is that we can induce Bell-inequality-violating correlations between outcomes of measurements on photons that never coexisted, but we can give accounts of these correlations without recourse to nonlocal influence.
I think the answer is yes (but see my question below)--or more precisely yes for the state of the overall 4 photon system in the entanglement swapping experiment. The usual formulation of NRQM doesn't cover such cases, but I think QFT can. If the two photons you describe are photons 1&4 in an entanglement swapping experiment (which is possible in principle, though still well beyond our practical capabilities), then I think you can pick out appropriate spacetime events and appropriate quantum field operators to describe the experiment and the 4 photon system that it is an experiment on. In QFT a "state" does not have to be a state at a particular time. I think any combination of QFT degrees of freedom can in principle describe a "state", though of course the vast majority of such combinations have no practical use.martinbn said:If you have a photon that was emitted and absorbed a year ago and another that was emitted and absorbed today, does it make sense to talk about the state of the two photon system?
In the case @martinbn described, the events of photon 1 being emitted and absorbed could be in the past light cone of the events of photon 1 being emitted and absorbed. But it's true that they wouldn't have to be; it would be possible to set things up so those events were spacelike separated (though expensive, since you'd have to have a lab at least a light year wide).pines-demon said:if two events are not connected causally (space-like separated)
Fuchs and Peres read QM as a theory of macroscopic tests and preparations, and not as a realistic theory of the microscopic. They maintain that nonlocal influence is necessary to postulate only when attempting to reproduce QM with a realistic theory of the microscopic. Entanglement is a characteristic of states, and hence they interpret it as a characteristic of preparations, giving rise to Bell-inequality-violating correlations under the right tests.pines-demon said:What do these authors propose to interpret the entanglement correlations?
PeterDonis said:That does raise a question, though: @DrChinese, do you know of any reference that develops the kind of formulation I just described, that can cover an entanglement swapping experiment of the kind @martinbn described? I'm curious as to how much of what I just hand-waved has actually been rigorously investigated.
[Edit--I see the reference @DrChinese gave in post #45, I'll take a look.]
I both agree and disagree with the Griffiths citation in various manners.Morbert said:Brun and Griffiths read QM as a realistic theory, but introduce a restriction on the construction of logical propositions about quantum systems. They argue that this restriction eliminates the need to infer nonlocal influence. https://arxiv.org/abs/0908.2914
Note that none of these approaches premise "no nonlocal influence" on coincident pasts of subsystems. As such, papers like the one referenced by @DrChinese in post #45 don't pose a novel challenge to these approaches.
Modern experiments close loopholes, but consistent histories does not depend on these loopholes. There is nothing unique about GHZ or swapping experiments that pose an additional challengeDrChinese said:1. First, I criticize him for specifically ignoring GHZ, swapping and other theorems/experiments. "In an article of modest length it is impossible to deal with all published arguments claiming that quantum theory is beset with nonlocal influences and in conflict with special relativity. In particular we do not discuss those based upon the GHZ [60, 61] or Hardy [62] paradoxes, nor Stapp’s counterfactual arguments." So basically, he passes on addressing the difficult situations. On the other hand, this paper was written in 2009 and some of the newer works were not as well known as today.
He goes into great non-hand-waving detail in section 5. I will see about starting a new thread specifically on locality and consistent histories.DrChinese said:3. And this statement was a shocker: "This [definition of classical realism] renders the Bell-CHSH inequality invalid for drawing conclusions about the real (quantum)world, in particular its locality or lack thereof." Hand-waving.
We can say "there is entanglement without interaction in any sense", or deny it, but all the resulting interpretations have to coincide in explaining the same set of experimental data that make up QM, right?pines-demon said:That’s the whole point of this discussion. Do you consider that in entanglement swapping particles 1 and 4 interacted in any way?
DrChinese said:"Now that I can read it: The Jung paper is horrendously flawed on many levels. I don't even need to refer to the failure to address the Entanglement Swapping experiments.
I should point out that it was published in Frontiers of Physics. That publication is listed as 188th for impact in the area of Physics HERE. Accordingly, I don't believe it should be acceptable for presentation - even in the more lax area of the subforum Foundations/Interpretations. It has a paltry 20 citations since publication in 2020.
Obvious issues:
a. Posits EPR-like mechanisms
b. Builds examples around Polarizer operation (transmission only) when modern experiments use Polarizing Beam Splitters instead.
c. Most importantly: It dismisses Bell's Theorem. "Bell's inequality is misleading because it attributes properties like polarization directions to particles and not to waves. Therefore, Bell cannot take into account phase differences of entangled photons. In future one should ignore violations of Bell's theorem because Bell's considerations are not adequate to describe wave phenomena."
This thread is based on unacceptable non-mainstream science, and should therefore be closed."
Sorry, Bell's Theorem is fully accepted in the physics community. There is no amount of hand waving that will justify his position - as of 2015 he rejects both Bell and loophole free Bell tests. By his own words.Morbert said:Modern experiments close loopholes, but consistent histories does not depend on these loopholes. There is nothing unique about GHZ or swapping experiments that pose an additional challenge.
He goes into great non-hand-waving detail in section 5. I will see about starting a new thread specifically on locality and consistent histories.