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bio website cs.mcgill.ca/~bsprot1
location Ottawa
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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.


Feb
19
awarded  Popular Question
Feb
12
awarded  Taxonomist
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
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awarded  Curious
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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.