Is this "Quantum Amplitude Amplification"?

You can easily see how wrong are these imaginary exponential equations by simply thinking what is the shape of exponential, the sine and cosine equation. I mean exponential is starting at 1 and goes to infinity but sine and cosine take values between 1 and -1. Do you get it?

College has me studying math after being a biology student in hs so this has been insanely helpful, thank you so much 😭

Excellent!!

super helpful, thank you!

why do you zero the first order term epsilon*(H1+[S1,H0])?

Thank you so much ❤.You are an excellent educator 👏

Do you have the video, where you explain why the creation and annihilation operators are associated with the exponents? Thank you.

So eloquently articulated. Thank you!

Great explanation

Nice.. since I knew that the enthalpy and internal energy of a gas are only a function of its temperature.. I was struggling to understand how the MechPE manual had an expression for reversible work for an isothermal process - my ?? was, where is the energy coming from to do work.. now I realize I was thinking of a closed system, and that was the error.. with an open system, work can be done or absorbed or by addition or subtrataction of heat through a heat sync .. certainly one of the more subtle/tricky concepts in thermodynamics (which is probably rarely utilized in practical applications) and your video cleared that up for me, thanks

Thank you,you’re such a smart guy

great video

Wonderful!

🙌🙌

where does the definition of a hat and a hat dagger come from?

3:08 you highlight the “canonically conjugate” variables, but then give no explanations what does it actually mean here, could you please clarify it in more details?

thank uuuuu

good stuff brotha

You're a hero mate!!

Converting the exponential and separate trig functions. Even related the Taylor series. Euler would be proud.

At the timeline 13:00, isn't 2nd quadrant of cos be negative? and sin be positive still?

Is lambda a scalar field?

goated

Cute

why do you define energy on a capacitor as a kinetic energy and energy on an inductor as potential energy?

can you explain how the 2x1 vectors inside the 4x1 vector collpase into inidices for the 4x1 vector??

Thanks

Great stuff! Thank you.

You just helped a student sitting fsr distant in other part of the world. Thanks a lot.❤

Can you explain how the expectation value here relates to the expectation value defined in the video for the statistical interpretation video (3 years ago)? I'm struggling to distinguish the many definitions: Let rho be the density matrix |psi><psi| The following 4 concepts should be related but how? 1. Probabilities defined by Born's rule (trace[rho * M(Y)] vs. 2. expectation value of observable X (trace[rho * X]) vs. 3. probability defined by the squared amplitude of the wavefunction |psi|^2 vs. 4. the expectation value defined by integral over x * |psi|^2.

You are an extremely gifted teacher. Thank you!

unbelievably easy to understand！I finally understand the cyclic property of trace operation, thank you for you work!

Thank you for clear explanation ❤

I think the NSA took note of this 30 years ago.

How to find the matrix representation of Y in {|+>,|->} basis?

aha

seems odd the the diagram depicts the energy difference between level 2 and level1 to be the greatest difference and the difference from level 3 to level 2 (9-4 = 5) to be smaller than the (4-1 =3)distance. Must have missed this. yea the square is in the denominator.

❤❤❤

Sir i am from INDIA thanks for this wonderful explanation. I really respect your efforts,Thanks a lot again.

this is very easy to understand

I was teleported to Mars, but thank God I came back.

You've got really good skills at explaining. Great video :)

Thanks, those concepts becomes more clearer

Thank you for this explanation, sir. My high school book hinted a part about the Schrodinger equation and the Hamiltonian operator, and this video has somewhat cleared some of my understandings regarding this topic. Definitely checking out the playlist for better understanding!

Wouldn't that be the Kronecker Product at the start rather than the tensor product? Or are they the same thing.

This is the greatest and most clear explanation of teleportation circuit on interney❤ I have exams tomorrow, that's for this❤

Stop parotting and think on your own. Complex numbers is fake invented math because (1) the definition of a complex number contradicts to the laws of formal logic, because this definition is the union of two contradictory concepts: the concept of a real number and the concept of a non-real (imaginary) number-an image. The concepts of a real number and a non-real (imaginary) number are in logical relation of contradiction: the essential feature of one concept completely negates the essential feature of another concept. These concepts have no common feature (i.e. these concepts have nothing in common with each other), therefore one cannot compare these concepts with each other. Consequently, the concepts of a real number and a non-real (imaginary) number cannot be united and contained in the definition of a complex number. The concept of a complex number is a gross formal-logical error; (2) the real part of a complex number is the result of a measurement. But the non-real (imaginary) part of a complex number is not the result of a measurement. The non-real (imaginary) part is a meaningless symbol, because the mathematical (quantitative) operation of multiplication of a real number by a meaningless symbol is a meaningless operation. This means that the theory of complex number is not a correct method of calculation. Consequently, mathematical (quantitative) operations on meaningless symbols are a gross formal-logical error; (3) a complex number cannot be represented (interpreted) in the Cartesian geometric coordinate system, because the Cartesian coordinate system is a system of two identical scales (rulers). The standard geometric representation (interpretation) of a complex number leads to the logical contradictions if the scales (rulers) are not identical. This means that the scale of non-real (imaginary) numbers cannot exist in the Cartesian geometric coordinate system.

A constant specific heat c v0 ideal gas is a perfect gas not an ideal gas.ideal gas only obey the ideal gas lawthat is Z is 1

I think you missed h bar in defining omega and that make differnce in the unit of the final hamitonian (energy) equation