# Is there a place online where I can catch up with all the notational syntax associated with quantum computing?

There is a vast amount of new notations which would be new even to Ph.D. in math. How on Earth can I catch up with all of this? Is there a place online which is devoted to the QC syntax? I would like to show a few examples, if someone can explain even just them, it would be of much help!

1. $$\langle\psi|U^{\dagger}MU|\psi\rangle$$

2. $$|0\rangle\langle0|$$ or $$|0\rangle |0\rangle$$

3. $${\oplus}$$

4. $$|0\rangle^{\otimes n}$$

5. I have no clue it looks like some sort of inner product. I saw somewhere this equals the probability of $$U$$. (Where M is a measurement matrix?) Have no idea!

6. The first I saw something like it's a projection of any vector on zero. So this is an operator, not a vector. On the other hand, not sure about $$|0\rangle |0\rangle$$. Thought saw them somewhere.

7. Is it a NOT gate? XOR gate? Or denoting any possible operation?

8. Vector zero, and composition of subscript n appearing above like a 'power'.

Can someone clear up the confusion? Or offering a place to look them all and their definitions up?

• It looks like you're having the age old issue of mathematicians and physicists having different notation for linear algebra. abstrusegoose.com/128 and the next 2 – AHusain Feb 10 at 2:20