In the reconstruction of QM via information-theoretic principles there is an axiom that states any subspace can be explored independently of the rest. Another axiom states that all subspaces of the same dimension have the same quantum probability structure. So, regardless of what the 2-dim...
Anything with a 2-dim Hilbert space is a qubit and any quantum in a double-slit experiment qualifies. The two outcomes for a position measurement in the double-slit experiment are slit 1 or slit 2. [For example, put the detector screen right up against the slits to make the position...
Exactly, although QM doesn't place a size limit on quanta, so maybe a clever experimentalist will someday create a qubit with one measurement equivalent to "open the box" and two outcomes as complex as Live Cat, Dead Cat. They have made quanta from 60-atom buckyballs, but the cat-box system is...
You missed the point of the Insight. If you use Schrodinger's Cat as an example of quantum superposition, then you are claiming it is a qubit and it is incumbent upon you to come up with that complementary measurement and its outcomes. I don't pretend to know what that measurement and its...
No, when people use Schrodinger's Cat as a example of superposition, they say the measurement is "open the box" and the outcomes are Live Cat or Dead Cat, so if you want that to be a qubit, then you need a measurement and outcomes equivalent in scale and constituents to "open the box" and Live...
We have to be able to make an actual measurement that produces Live Cat + Dead Cat comparable to "open the box" where the outcomes are Live Cat or Dead Cat. You can't do that with a single photon, we need something the size of a cat in the outcome someplace. As I said to Peter Donis, I have no...
In order for the cat-box system to be a qubit (not a simple Cbit), there has to be a "vertical spin" measurement corresponding to its "horizontal spin" representation (where the "horizontal spin" measurement is "open the box" and the two possible outcomes are LC and DC). What is that...
Don't worry about being off topic. It's relevant to my Insight and it's an interesting conversation :-)
I don't know how many gamma rays impinge on any cm^2 at the surface of Earth per unit time, so I can't speak to that. However, again, we don't see the box and have no way to coordinate...
Yeah, I don't think you need polarization info, you just need to know if the poison is released. For that the photon alone will work. The problem is, you can't see the box and you don't know where it is, so you'd have to somehow distinguish the photon from the box from all those you're receiving...
Yes, but to know the state of the qubit, so as to acquire information from it, you need information about its source. If a random photon passes thru your vertically-oriented polarizer, you know it's now a V photon, but that doesn't tell you anything about what it was before you measured it...
@DrChinese, that's one convoluted experiment! But, it does beautifully portray the spatiotemporally global, "all-at-once" nature of the outcome distributions and correlations due to the original two Bell states and all the measurement locations and settings in spacetime. If the Bell states are...
That single photon conveys the state of the qubit because it's polarization has meaning in the context of the source, detectors, and measurement settings. Since the box is screened off, you don't have that contextual information.
There has to be a source of microwaves that after emission reflect off of some 'thing' and are subsequently detected by some other 'thing'. That's a spatial (and temporal) configuration of objects (and events).
That's my question, too.
In quantum mechanics, the state providing the distribution of outcomes among the detectors contains information about the entire spatiotemporal context of the experiment given a particular source and its detectors (usually just implied, but necessary for understanding...