Recent content by DodongoBongo

How do you do a Bell measurement on a state that doesn't have a power of 2 number of qubits? I've got GHZ states like this: |GHZ_{ijk}> = \frac{|0_{i}0_{j}0_{k}> + |1_{i}1_{j}1_{k}>}{\sqrt{2}} And I'm trying to Bell measure the following state at qubits 2 and 3...

Apparently \cos(((k_1-k_2)*x-(\omega_1-\omega_2)*t)/2),\sin(((k_1+k_2)*x-(\omega_1+\omega_2)*t)/2) is the answer. I have no idea why or how they got there.

I also tried expanding the whole thing into sin(A+B) = sin(A)cos(B) + cos(A)sin(B) and the corresponding one for cos(A+B), but it told me to check my trig. This is due really soon, so help would be really appreciated. My last answer: term 1:2A term...

I think so, usually MasteringPhysics will tell you to "check your trig" if it sees the wrong trig function. When I did the actual trigonometry to get the terms I did this: A \sin(k_1 x - \omega_1 t) + A \sin(k_2 x - \omega_2 t) =...

I tried that too, which it also said was wrong.

It does, the "]" was a typo (sorry).

I tried 2A,{\sin}\left(\frac{k_{1}x-{\omega}_{1}t+k_{2}x-{\omega}_{2}t}{2}\right),{\cos}\left(\frac{k_{1}x-{\omega}_{1}t-k_{2}x-{\omega}_{2}t}{2}\right), but MasteringPhysics said it was wrong. I am at a loss.

I haven't done trig in a while (I'm in computer science); but A \sin(k_1 x - \omega_1 t) + A \sin(k_2 x - \omega_2 t) = 2Asin(k_1 x - \omega_1 t + k_2 x - \omega_2 t) doesn't seem right. In other words, I'm not sure how to add them up before using a trig identity. I have worked out that A...

the new problem Homework Statement Learning Goal: To see how two traveling waves of nearly the same frequency can create beats and to interpret the superposition as a "walking" wave. Consider two similar traveling transverse waves, which might be traveling along a string for example...

Solution, but new problem The last problem's answer was \cos(\omega t) for the second part. I have no idea why. Can someone please explain to me why this works?

Homework Statement Learning Goal: To see how two traveling waves of the same frequency create a standing wave. Consider a traveling wave described by the formula y_1(x,t) = A \sin(k x - \omega t). This function might represent the lateral displacement of a string, a local electric...