On Wednesday, May 1, 2019 at 11:25:50 AM UTC-5, Brent wrote: > > No. Erasing data generates heat. So reversible computation is, in > principle, possible without hear generation. > > Brent >
That is basically it. Landauer demonstrated that information loss results in lost energy, internal energy or waste heat. This does not mean there is no thermal energy if no information is lost or erased, but that there is no change in such. The entropy of a quantum system with density matrix ρ is S = -k Tr[ρ log(ρ)]. The unitary transformation ρ = U^†ρU can be applied to this Shannon-von Neumann formula and shown it is invariant. It is easy, just take the Taylor series for the log. So quantum computer that do not suffer decoherence are reversible and produce no heat. Once photons come blasting out of there then bets are off. I sort of follow Bruno below, and I concur with the statement the Fischer-Griess Monster group is important. It is important for a quantum error correction code. Its connection to moonshine, say with the Brunier-Kent-Ono partition theorem etc, that the monster is associated with all realizable number theoretic computations. Quantum numbers then have a Gödel number representation, say as prime numbers or zeros of the Riemann zeta function, and all possible errors computable may be ciphered by the Monster. Susskind has this idea of entangled black holes, but realistically such an entanglement must be highly partitioned into partial entanglements across some cosmic or inflationary landscape. This partition would obey the Brunier-Kent-Ono partition theorem, which its approximate solution as the Hardy-Ramanujan formula gives the density of states for strings and with black holes reproduces the Bekenstein formula. LC > > On 5/1/2019 1:56 AM, [email protected] <javascript:> wrote: > > > > By "heat" I just mean it as one studies it as a subject in a physics > class, for example. > - https://en.wikipedia.org/wiki/Heat > > *Does all computation generate heat?* > > (Should be a simple enough question, I think.) > > - @philipthrift > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected] <javascript:>. > To post to this group, send email to [email protected] > <javascript:>. > Visit this group at https://groups.google.com/group/everything-list. > For more options, visit https://groups.google.com/d/optout. > > > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
