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Feb 10 '21 at 6:58 history edited Adam Zalcman CC BY-SA 4.0
deleted 1 character in body; edited tags
Dec 13 '18 at 19:42 history edited Sanchayan Dutta
edited tags
S Apr 11 '18 at 8:52 history suggested DIDIx13 CC BY-SA 3.0
Fixed grammar and improved Formatting
Apr 11 '18 at 8:48 answer James Wootton timeline score: 3
Apr 11 '18 at 7:06 review Suggested edits
S Apr 11 '18 at 8:52
Apr 10 '18 at 20:56 history reopened Rob
James Wootton
Apr 7 '18 at 18:15 history edited Rob CC BY-SA 3.0
Stripped to just one question.
Apr 7 '18 at 18:10 comment added Rob @Mithrandir24601 - I'll remove the radix from this one. Thanks for taking the time to re-review the question.
Apr 7 '18 at 17:21 comment added Mithrandir24601 There are now clear questions here. However, there are two distinct questions, so would you be able to split this into two separate posts with one question each in order to potentially get better answers for the individual questions? Thanks
Apr 7 '18 at 16:02 review Reopen votes
Apr 10 '18 at 20:56
Apr 7 '18 at 15:44 history edited Rob CC BY-SA 3.0
Shortened the question to avoid addressing at-length comments that once addressed no answer was forthcoming. Other brief comments were very helpful.
Apr 6 '18 at 20:02 history closed Niel de Beaudrap
Discrete lizard
Sanchayan Dutta
Needs details or clarity
Apr 6 '18 at 15:41 comment added Rob @gIS - Thanks, I will incorporate that into the answer I am writing for this question.
Apr 6 '18 at 9:23 comment added glS Each physical system has a different "preferred basis", which depends on the system as well as on our capabilities to control the system in said basis. There is no univocal way to say that a basis is better than another in this sense, it all just depends on what do you want to do and what you are capable of doing.
Apr 5 '18 at 22:36 history edited Rob CC BY-SA 3.0
Expanded upon the last section, one more edit to go.
Apr 5 '18 at 18:41 comment added Niel de Beaudrap @Rob: In many circumstances it is better to carry more than just apples: it depends on what you want to do with the apples. Even if all you want is apples, what variety of apple also matters, not everyone likes to eat Granny Smith, for example. Sheer number is not what is important --- suitability for a given purpose is a higher consideration. The dimensionality of the qudit is just one factor for that purpose.
Apr 5 '18 at 18:24 history edited Rob CC BY-SA 3.0
Approximately 3/4 the way through editing, then a proofreading.
Apr 5 '18 at 17:23 comment added Niel de Beaudrap @Rob: Higher dimensions are not necessarily useful. It is more important to have the dynamics that you want, to perform the applications that you want, than to have high dimension. That motivates concerning yourself not with wondering what "the right dimension of qudit to use", but "what systems seem practical to control, and what dimensions of qudits are natural for that system". That is, you put the system first, and then ask questions about the qudits relative to that choice of system. Doing it in the opposite order is like asking what is the best number of apples.
Apr 5 '18 at 13:59 comment added Niel de Beaudrap @Rob: that helps, but I'm still confused. Are you asking "what dimension of qudit would be most effective to compute with", as a theoretical optimum, in some sense analogous to the efficiency of a radix (motivated similarly, though perhaps taking into account more than just the typical efficiency of expressing integers)? Are you interested in choices motivated by a specific model of computation (your reference to anyons)? Or are you interested in practical issues related to what is possible due to decoherence in some architecture (your other references)?
Apr 5 '18 at 13:34 history edited Rob CC BY-SA 3.0
Clairified one point without changing the meaning of the content or invalidating the answer currently offered.
Apr 5 '18 at 11:40 answer Simon Burton timeline score: 4
Apr 5 '18 at 10:20 comment added M. Stern Can you explain why you expect the radix economy to be different in the quantum case? You encode the digits x into $|x\rangle$, so I don't see why it should be different. Or are you thinking of a different representation of the numbers?
Apr 5 '18 at 9:43 review Close votes
Apr 6 '18 at 20:04
Apr 5 '18 at 9:27 comment added Niel de Beaudrap There's a lot going on here; it's a bit difficult to sift through. Note that in your remarks on radix economy, the result that the most economical integer base is ternary is a mathematical result: it's difficult to see what you are getting at when you ask about "what radix to use" for qubits, which would seem to bake in the radix of 2. I also don't see what any of your linked references have to do with the question, with the (possible?) exception of the one on Fibonacci anyons, depending on what exactly you are trying to find out. Could you clarify what precisely you would like to know?
Apr 5 '18 at 8:32 history edited Sanchayan Dutta CC BY-SA 3.0
deleted 10 characters in body; edited tags
Apr 5 '18 at 7:54 history asked Rob CC BY-SA 3.0