Halting Problem in Quantum Computing



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Topic: Science > Physics
User: "Acid Pooh"
Date: 23 Sep 2003 01:02:02 AM
Object: Halting Problem in Quantum Computing
What would happen if a quantum computer were to be fed an algorithm
which takes other algorithms as inputs and tries to determine if it
will halt? It will obviously never stop, but are there any
interesting physical results of such a system? Perhaps a violation of
conservation of energy? Or a small explosion? Such an exploding
quantum computer would be great to have around the lab.
'cid
(seriously, is there any literature regarding the halting problem in
this context?)
.

User: "klaus hoffmann"

Title: Re: Halting Problem in Quantum Computing 23 Sep 2003 03:54:08 AM
Acid Pooh schrieb:


What would happen if a quantum computer were to be fed an algorithm
which takes other algorithms as inputs and tries to determine if it
will halt? It will obviously never stop, but are there any
interesting physical results of such a system? Perhaps a violation of
conservation of energy? Or a small explosion? Such an exploding
quantum computer would be great to have around the lab.

A quantum computer with n Qbits can be simulated in polynomial time with respect
to 2^n. It has a "performance advantage" that can't solve impossible problems.
hth
Klaus


'cid

(seriously, is there any literature regarding the halting problem in
this context?)

.


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