Thanks. I think see where I went wrong. I was thinking in terms of bits themselves and not particles. A bit could be described by a vector in a one-dimensional vector space, a particle by a vector in two-dimensions.
So these two dimensions of each particle (x,y) would be physically something...
Thank you, I've read that but I will read it again.
Ive clarified a few things for myself over the past while. The three qubits will have an infinite number of states because they can be in any quantum superposition of their 8 classical configurations, ie they are a linear combination of...
I am reading an introduction to quantum computing and I have a question about one thing I don't understand.
"In classical physics, the possible states of a system of n particles, whose individual states can be described by a vector in a two dimensional vector space, form a vector space of 2*n...
Thank you for the reply. I am still not sure why a set can be both uncountable and well ordered. I will clarify my confusion.
So the reals are uncountable by the Cantor diagonalization proof, so they cannot be put in one-to-one correspondence with the natural numbers. But the reals are well...
Hi,
So if under ZFC a well ordering exists for the reals, why isn't this in contradiction to their uncountability?
Is it enough that we cannot demonstrate this well-ordering by a mapping of reals to natural numbers to say they are not countable?
I ask because it seems for a set to be well...