Timeline for Sum of two unitary matrix is equal to every matrix?
Current License: CC BY-SA 2.5
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| Aug 24, 2010 at 17:58 | comment | added | Gerhard Paseman | Thanks for the heads up on the preprint. If you see the paper before I do, please mention it here. I shall do same if I see the paper before a new comment here. Gerhard "Ask Me About System Design" Paseman, 2010.08.24 | |
| Aug 24, 2010 at 17:28 | comment | added | Pace Nielsen | I failed to remark that I am, of course, assuming that $n>1$, otherwise the result is not true. I also want to mention that a colleague of mine Thomas Dorsey (along with two coauthors) has a preprint on this topic which is quite good. You might look for that paper to appear soon. | |
| Aug 24, 2010 at 11:54 | comment | added | Gerhard Paseman | The answer is "yes" if all matrices are the sum of at most 2 units. The answer is "almost" if every matrix is required to be the sum of exactly two units. (Hint: the monkey in this wrench is pretty small.) Gerhard "Ask Me About System Design" Paseman, 2010.08.24 | |
| Aug 23, 2010 at 20:11 | history | answered | Pace Nielsen | CC BY-SA 2.5 |