Timeline for A resource theory of quantum discord?
Current License: CC BY-SA 3.0
6 events
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| Oct 30, 2011 at 19:56 | comment | added | Norbert Schuch | I'm not sure non-convexity is a problem. Generally, a resource theory arises from restrictions on the permitted operations. Is there a corresponding characterization for discord, such as LOCC for entanglement? (I.e.: Discord cannot be created with restriction X, and it can be used to overcome the restriction?) Then I would think it should be possible to obtain a resource theory for discord. (Although the restriction, and thus the resource theory, might be less natural than one arising from LOCC restrictions.) | |
| Oct 28, 2011 at 20:37 | vote | accept | CommunityBot | ||
| Oct 28, 2011 at 20:37 | comment | added | Matty Hoban | Discord is a manifestation of coherence so I can see your reasoning. I think I will accept your answer as it is a fair comment. I think my question was suitably open ended that I'd accept any worthwhile and informative answer. | |
| Oct 28, 2011 at 13:25 | comment | added | Earl | Another point worth mentioning is that quantum discord came to prominence, at least to me, in an analysis of the "Power of 1 qubit model". In this model you have 1 pure qubit, unlimited mixed qubits and any unitary operations and you compute something that looks interesting (the trace of a unitary). At some point in the middle of the computation the state has discord. I would argue that in this model the relevant resource is purity, not discord. | |
| Oct 27, 2011 at 20:53 | comment | added | Matty Hoban | Nice answer, Earl. My initial thinking was about restricting operations in entanglement resource theory. Since the CC lets us prepare arbitrary convex combinations of states, if we deny ourselves this, we can deny ourselves the ability to go from concordant to discordant. Personally, I am not really convinced of discord in the way I am convinced of entanglement. However, I want to add some more substance to this ill-feeling. It seems contrived to deny ourselves classical communication though. | |
| Oct 27, 2011 at 18:30 | history | answered | Earl | CC BY-SA 3.0 |