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glS
6:50 AM
@Kiro actually I think it's a good question, I was hoping someone more apt with CVs would give a good answer. My intuition is that they can perform the same overall operations to arbitrary accuracy, albeit the individual gates will look entirely different due to the different encodings. E.g. a "CNOT" will look different in CVs because you don't really have qubits to operate with. But I'm not sure how to give a more precise answer because I'm not really sure how a CNOT looks like in CVs
 
 
2 hours later…
8:50 AM
Oooh, that is an interesting one
 
9:01 AM
@MoreAnonymous Looking at it again now, there's a lot to just sit and work through - I'm not entirely convinced that your question is a full proof, but at the same time would be totally unsurprised if this is the case
 
9:38 AM
@Mithrandir24601 is there anything on what I'm calling "conditional time evolution" in the literature?
 
@MoreAnonymous From about 15-20 years ago, yeah, although I haven't read them
 
@Mithrandir24601 does it go under the same name?
 
@MoreAnonymous Some do - there's conditional time evolution, conditional quantum evolution, conditional gate operations... What I can't find right now is anything on the entropy of such things
 
 
3 hours later…
12:56 PM
@Mithrandir24601 to be fair my claim is more to do with the entropy of the environment.
 
1:43 PM
Hello everyone,
can you answer my question here ?
https://quantumcomputing.stackexchange.com/questions/14304/optimizations-in-quantum-circuits

Thanks in advance
 
2:12 PM
@MoreAnonymous To be fair, when you doing anything like a measurement, the entropy of the environment increases
So, this does seem like something that makes sense
 
2:29 PM
@Mithrandir24601 is there a proof for that though? I haven't seen one
 
@MoreAnonymous Not as far as I'm aware for what you've done
But the measurement one is simple - 'any time you gain info about a system, you decrease its entropy, so the entropy of the environment increases' is the gist
 
2:48 PM
@Mithrandir24601 I see
 

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