48
votes
Accepted
What is the difference between general measurement and projective measurement?
Note: There is a short summary at the bottom.
This is actually also described in Nielsen&Chuang: You don't learn about general measurements, because they are completely equivalent to projective ...
38
votes
Accepted
How can Schrödinger's cat be both dead and alive?
Before reading this answer (and to those who are downvoting), I am addressing if the cat is both alive and dead. I don't think the question is asking for a complete explanation of the Schrodinger's ...
36
votes
Extension of Schrödinger's cat thought experiment
This is is known as the Wigner's friend thought experiment. According to the many World's interpretation, the superpositions are not a problem. The whole universe ends up in a superposition where all ...
33
votes
I'm not seeing any measurement/wave function collapse issue in quantum mechanics
The collapse becomes `mysterious' once you realise that:
All things, including lab equipment is arguably composed of atoms that should satisfy quantum mechanics
It is impossible to design an ...
32
votes
Extension of Schrödinger's cat thought experiment
In a bubble chamber experiment, film was the detecting medium, but film was taken automatically, by the thousands of frames. These bobbins of film went to the various laboratories involved in the ...
30
votes
Accepted
Why aren't particles constantly "measured" by the whole universe?
Seems like the whole universe is receiving information about the electron's position.
Yes, the influence that an electron exerts on the rest of the universe does depend on the location of the ...
28
votes
Uncertainty in Uncertainty?
The objects on the l.h.s. of the position-momentum uncertainty relation
$$ \Delta x \Delta p \geq \frac{\hbar}{2}$$
are standard deviations of quantum mechanical operators, defined for any operator $A$...
26
votes
Accepted
Uncertainty principle and measurement
There are many steps:
Step 1, select a state $\Psi$.
Step 2, prepare many systems in same state $\Psi$
Step 3, select two operators A and B
Step 4a, for some of the systems prepared in state $\Psi$...
26
votes
Accepted
What is the quantum mechanical definition of a measurement?
Until we have an accepted solution of the Measurement Problem there is no definitive definition of quantum measurement, since we don't know exactly what happens at measurement.
In the meanwhile, ...
25
votes
Why aren't particles constantly "measured" by the whole universe?
There are time-scales related to interactions, or, equivalently, interaction rates. These interaction rates are often calculated in lowest order based on Fermi’s Golden Rule. An experiment that ...
20
votes
Accepted
Isn't the detector always measuring, and thus always collapsing the state?
Good question. The textbook formalism in Quantum Mechanics & QFT just doesn't deal with this problem (as well as a few others). It deals with cases where there is a well-defined moment of ...
19
votes
Accepted
Simple example showing why measurement & interaction are different
This is not a settled question. Just as it is still debated whether or not there is wavefunction collapse, so is it debated what exactly we should understand by a measurement. In the following, we ...
19
votes
Entanglement, real or just math?
Entanglement is a real property that can be shown by the violation of the Bell inequalities. How this is commonly done is that a pair of particles are created with entangled spin states in a ...
19
votes
Accepted
What are the strongest objections to be made against decoherence as an explanation of "collapse?"
I think most arguments in the literature can be boiled down to the point that decoherence does in no way touch the linearity of the Schrödinger equation, and thus cannot make an "or" from an "and".
...
17
votes
Accepted
Would every particle in the universe not have some form of measurement occurring at any given time?
What you describe is the process known as decoherence: any interaction of a quantum system with its environment (e.g. with photons or other particles passing by, and, yes, most likely interacting ...
17
votes
Is the Born rule indeed wrong?
As StephenG mentioned in a comment, the paper you're asking about is the subject of a commentary in arXiv:quant-ph/0509130, by Markus Bier; Li and Li attempt a rebuttal of that comment in Appendix C ...
17
votes
How can Schrödinger's cat be both dead and alive?
I feel like all the answers here are missing the point.
The cat is not both alive and dead at the same time. That would be, as you put it, ludicrous. The truth is that the cat is in a superposition ...
17
votes
Does the particle interfere with itself, or the observer?
The term 'observe' does not mean watching the experiments from a camouflaged hideout so that no one notices you are there. 'Observe' here means 'making a measurement' and hence interacting with the ...
15
votes
On a measurement level, is quantum mechanics a deterministic theory or a probability theory?
Is quantum mechanics on a measurement level a deterministic theory or a probability theory?
Probability theory. Evidence: when physicists do quantum measurements they find the results of individual ...
15
votes
What is a 'wavicle?'
Imagination has nothing to do with it. Or everything to do with it.
The harsh reality is that electrons are neither particles nor waves. Light is neither particles nor waves. Both electrons and ...
15
votes
Accepted
Why is wave-function collapse still being taught in quantum mechanics?
There are many interpretations, and while there are good arguments in favor of one or another, they are currently not distinguished experimentally. Therefore it is often considered prudent to leave ...
14
votes
Can I steal your electron?
Well, the wave function of the electron in the ground state of a hydrogen atom (and very similarly in other atoms) behaves like
$$ R(r) \sim \exp(-r / a) $$
where $a$ is the Bohr radius, effectively ...
14
votes
Accepted
Entanglement and simultaneity
It doesn't really matter, because the phrase "simultaneously affects the other particle" is misleading.
Let's suppose you have a pair of totally anticorrelated photons. You measure one of them, then ...
13
votes
Accepted
Is a photon always in a state of superposition while traveling through space?
It's tempting to think of the light as a little ball (the photon), and since little balls have a definite position the little ball has to be in a superposition of a state where it goes through one ...
13
votes
Accepted
Is uncertainity a postulate?
Your example is probably not a good one to understand Heisenberg uncertainty with, because it mixes two uncertainty phenomena together:
The observer effect (See Wikipedia page of same name);
...
13
votes
If a wave function collapses into one state, does it ever go back to a superposition of states?
Unless the wavefunction collapses to an eigenstate of the Hamiltonian, the subsequent time-evolution will produce a superposition.
The postulates clearly state that, if you measure the observable $\...
13
votes
If a wave function collapses into one state, does it ever go back to a superposition of states?
The way I like to understand this is the following: suppose you have one observable $A$ with spectrum $\sigma(A) = \{ a_n : n \in \mathbb{N}\}$ which we will assume discrete and non-degenerate for ...
13
votes
What is the quantum mechanical definition of a measurement?
The many-worlds interpretation defines measurement as any physical procedure in which the observer gets entangled with a quantum system. Before the measurement, the universe containing the observer ...
12
votes
Accepted
Double slit experiment with animals as observers
The claim that
during the experiment they let the detector on but did not stored the data so it showed waves, only when they stored the data it showed as particle.
is inaccurate and inconsistent ...
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