335 reputation
17
bio website home.lu.lv/~sd20008
location
age
visits member for 2 years, 3 months
seen Nov 4 at 9:54

I'm doing quantum computing for living.


Sep
24
awarded  Autobiographer
Dec
6
awarded  Commentator
Dec
6
comment Super-dense coding protocol with a key
I also recommend to read the post suggested by Piotr! ;)
Sep
28
answered Is there a physical motivation to study finite fields?
Aug
29
awarded  Yearling
May
14
comment What are the limitations of performing music in space?
Another instrument that would completely fail is rainstick. Also, a gong would have to be strapped down properly before it can be played.
May
14
awarded  Scholar
May
14
accepted What are the limitations of performing music in space?
May
14
awarded  Student
May
14
asked What are the limitations of performing music in space?
May
8
comment Positivity in the Pauli/Bloch/coherence vector representation
Yes, this is the way to do it. The star product is defined in terms of a symmetric tensor $d_{ijk}$ which in turn is defined via $\{\lambda_i,\lambda_j\} = 2 d_{ijk} \lambda_k$ for $i \neq j$. For fixed $k$ there are only $d$ pairs $(i,j)$ that give a non-zero $d_{ijk}$, so that should let you compute the star product in $d^2$ time.
May
3
comment Determinism, classical probabilities, and/or quantum mechanics?
let us continue this discussion in chat
May
3
comment Determinism, classical probabilities, and/or quantum mechanics?
All I'm saying is that in this specific way of comparing the three theories, their state spaces are proper subsets of each other. I don't have Bell's theorem in mind and I'm not saying that this has any philosophical implications. You should probably talk to some foundations people instead, since I can only offer a mathematician's perspective.
May
3
comment Determinism, classical probabilities, and/or quantum mechanics?
Not every probability distribution has only zeroes and ones; not every quantum state is diagonal.
May
3
comment Determinism, classical probabilities, and/or quantum mechanics?
I should have said: any deterministic state can be thought of a probability distribution and any probability distribution can be thought of a diagonal density matrix. That gives you the inclusions.
May
3
comment Determinism, classical probabilities, and/or quantum mechanics?
If you use only probability distributions where each probability is either 0 or 1, then that's just a deterministic state (indicator function) -- this explains the first inclusion. If you do quantum mechanics with diagonal density matrices, then that's just probability theory -- that's the second inclusion. Actually, I don't understand your table of options. Was it in the book or you came up with it yourself?
May
2
awarded  Editor
May
2
revised Mathematical explanation of quantum teleportation
fixed grammar and formatting
May
2
comment man walking in rain:relative velocity
You may want to check out this video: Is it Better to Walk or Run in the Rain?.
May
2
suggested approved edit on Mathematical explanation of quantum teleportation