526 reputation
310
bio website cs.mcgill.ca/~bsprot1
location Ottawa
age
visits member for 2 years, 10 months
seen 22 hours ago

In 2004 I graduated from Waterloo where I was a member of the Perimeter Institute and worked with Lucien Hardy on a problem in quantum automata theory. I then started reading Baez, Coecke and Isham and decided I wanted to do category theory. In 2008 I started at McGill where I was a research assistant to Dr Panangaden and worked on both categorical quantum mechanics and the quantum causal dynamics. Now I am attempting to provide novel uses of the theory of categories for physics and economics. Also, I am interested in the concept of "idealization of structure" where compact elements in a collection of categories express this. I have several posts at the nforum where I talk about more pure mathematical ideas.


Sep
24
awarded  Autobiographer
Sep
12
revised Does a random local unitary destroy entanglement
edited body
Sep
12
comment Does a random local unitary destroy entanglement
Neat stuff! Thanks Martin. Still, what about my initial intuition. The state $\rho_A$, after the trace, is $0.5|0 \rangle + 0.5|1\rangle$. A random unitary on this would not change it. The VN entropy would not change.
Sep
12
accepted Does a random local unitary destroy entanglement
Sep
12
comment Does a random local unitary destroy entanglement
@SMKravec Hi, yes, by local, I mean applied to one qubit or another, or, as you wrote, a product of operators on the subsystems. So $U_A$ is local to $A$. Its not just a change of basis, however. I am considering the possibility of a random change of basis, for which there is absolutely no information for any observer.
Sep
12
revised Does a random local unitary destroy entanglement
added 333 characters in body
Sep
12
comment Does a random local unitary destroy entanglement
@Martin, I guess, the idea is that if you can destroy a joint state by a random local, you are destroying it just by not knowing about something. However, I am thinking of density matrices which handle classical probabilities which can safely be seen as information based.
Sep
12
revised Does a random local unitary destroy entanglement
added 311 characters in body
Sep
12
asked Does a random local unitary destroy entanglement
Sep
3
awarded  Tumbleweed
Aug
27
revised Is Sorkin's causal growth dynamics a Galois Connection
edited title
Aug
27
asked Is Sorkin's causal growth dynamics a Galois Connection
Jul
2
awarded  Curious
Dec
1
awarded  Yearling
Oct
23
awarded  Notable Question
Sep
3
revised fixed input qubit state to an arbirary pure state using two variable rotations and one fixed rotation
deleted 3 characters in body; edited tags
Mar
26
revised fixed input qubit state to an arbirary pure state using two variable rotations and one fixed rotation
deleted 3 characters in body
Mar
25
comment fixed input qubit state to an arbirary pure state using two variable rotations and one fixed rotation
David, thank you, yes I think the problem is the same. I just need some help in writing down a form for the operation (unitary transformation or Euler rotation) that highlights the order of operations. I, myself, can't derive the form by hand.
Mar
22
revised fixed input qubit state to an arbirary pure state using two variable rotations and one fixed rotation
added 348 characters in body
Mar
22
revised fixed input qubit state to an arbirary pure state using two variable rotations and one fixed rotation
added 99 characters in body