Timeline for Relevance of SIC-POVMs to quantum information
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| May 23, 2012 at 9:48 | history | edited | Frédéric Grosshans |
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| Nov 2, 2011 at 16:36 | comment | added | Mateus Araújo | While I can't say how mainstream "Quantum Bayesianism" is, I question your reservation. It's not as if they're proposing a multiverse, action at a distance or spontaneous collapse. An "interpretation-free" application of SICs would be whether one can write a state $\rho$ in terms of POVM elements $E_i$ as $$\rho = -I + d(d+1)\sum_{i=1}^{d^2}\mathrm{tr}(\rho E_i) E_i, $$ which seems to me an interesting question in itself and relevant to quantum state tomography. | |
| Oct 30, 2011 at 11:43 | comment | added | Alex 'qubeat' | May be some examples are needed for clarification of the question, how suitably chosen set of random projectors are using instead of SIC-POVM-like objects for dimensions there SIC or MUB may be introduced? If SIC is analogue of orthonormal basis (see cite in my answer), it may be compared with using sets of random vectors instead of the orthonormal base. | |
| Oct 30, 2011 at 1:19 | answer | added | Chris Ferrie | timeline score: 8 | |
| Oct 27, 2011 at 9:00 | answer | added | Alex 'qubeat' | timeline score: 2 | |
| Oct 26, 2011 at 20:09 | comment | added | Matty Hoban | MUBs are important for tomography. But the connection between SICs and MUBs is not that concrete to my knowledge. They have analogous structure if not a direct relationship. | |
| Oct 26, 2011 at 19:55 | comment | added | Marcin Kotowski | @Matty - yes, that counts, too. | |
| Oct 26, 2011 at 18:19 | comment | added | Matty Hoban | When you describe SIC-like objects do you mean Mutually Unbiased Bases (MUB)? | |
| Oct 26, 2011 at 17:21 | history | asked | Marcin Kotowski | CC BY-SA 3.0 |