Is the wave function a relative wave (entanglement)

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The discussion revolves around the nature of wave function collapse in quantum entanglement, specifically questioning whether it is relative to the observer. In a scenario where a technician measures an entangled pair before Alice and Bob, the initial entanglement is disrupted, leading to uncorrelated results in their measurements. This highlights that once a measurement is taken, the entangled properties are lost, confirming the uncertainty principle's role in quantum mechanics. The conversation also touches on the implications of entanglement for communication, suggesting that while theoretically intriguing, it would violate the speed of light constraint. Overall, the collapse of the wave function is not relative to the observer but is an instantaneous effect across spacetime.
QuantumHop
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Is the wave function a "relative" wave (entanglement)

Alice and Bob build a quantum entanglement experiment with the help of a lab technician.

The experiment runs and a quantum entangled pair is created but unbeknown to Alice & Bob the technician puts his own measuring device in the experiment and takes a measurement before Alice & Bob get a chance to do their measurement.

When Alice & Bob make their measurements they are confronted with the same uncertainties , Alice makes a measurement and assumes the wave collapses but the assistant had already collapsed the wave.

With that said is the collapse of the wave relative to the observer?
 
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QuantumHop said:
Alice and Bob build a quantum entanglement experiment with the help of a lab technician.

The experiment runs and a quantum entangled pair is created but unbeknown to Alice & Bob the technician puts his own measuring device in the experiment and takes a measurement before Alice & Bob get a chance to do their measurement.

When Alice & Bob make their measurements they are confronted with the same uncertainties , Alice makes a measurement and assumes the wave collapses but the assistant had already collapsed the wave.

With that said is the collapse of the wave relative to the observer?

Alice and Bob, in this case, won't get the correlated (same/opposite) measurement.

If Alice shows 1/up, Bob won't necessarily show 0/down because time has passed since the lab technician made his measurement. The two photons' states start to evolve separately after the technician's measurement.
 


San K said:
Alice and Bob, in this case, won't get the correlated (same/opposite) measurement.

If Alice shows 1/up, Bob won't necessarily show 0/down because time has passed since the lab technician made his measurement. The two photons' states start to evolve separately after the technician's measurement.

Thanks for the explanation, I had no idea that the entangled properties were disentangled after a measurement is taken. I see now why it can be used to determine if private message has been read by somebody else :smile:
 


This now raises another question, if both particles are measured at exactly the same time and then say a thousandth of a second later the same measurements are repeated will they still be entangled?
 


QuantumHop said:
This now raises another question, if both particles are measured at exactly the same time and then say a thousandth of a second later the same measurements are repeated will they still be entangled?
No. You should focus on the uncertainty principle(a cornerstone of qm) and why it was immediately clear to the founders of qm why entanglement of position/momentum would ensue between interacting particles(later confirmed in experiments). Entanglement is basically a confirmation of the Uncertainty principle over all of spacetime and across all frames of reference(i.e. in that sense, it's not relative to the observer and appears to happen instantaneously as far as current experiments can reveal).
 
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Maui said:
No. You should focus on the uncertainty principle(a cornerstone of qm) and why it was immediately clear to the founders of qm why entanglement of position/momentum would ensue between interacting particles(later confirmed in experiments). Entanglement is basically a confirmation of the Uncertainty principle over all of spacetime and across all frames of reference(i.e. in that sense, it's not relative to the observer and appears to happen instantaneously as far as current experiments can reveal).

Thanks for the confirmation on loss of entanglement after the first measurement, I must say that when seen on TV this seems to be a fact that I have never heard. I've often wondered what was so special about the claims of entanglement and its not until you realize that the property is broken when measured that it becomes "odd".

If you could entangle three particles at once you could communicate instantly over any distance by sending two streams to a receiver and keeping one stream of particles for yourself. if after say one year the two streams reached the recipients you could measure particles in your stream and the discrepancies at their end would contain the message. With that said its probably impossible otherwise it violates speed c.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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