Questions tagged [quantum-turing-machine]

For questions about the quantum analogue of the universal Turing machine; i.e., for questions about the theoretical construct that is the universal quantum computer. This tag is not for questions about the normal Turing machine; those would fit better on Computer Science SE.

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Can a Turing machine simulate a quantum computer?

I know that a Turing machine1 can theoretically simulate "anything", but I don't know whether it could simulate something as fundamentally different as a quantum-based computer. Are there any ...
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2answers
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In a Quantum Turing Machine, how is the decision to move along the memory tape made?

Let, for a Quantum Turing machine (QTM), the state set be $Q$, and the alphabet of symbols be $\sum=\{0,1\}$, which appear at the tape head. Then, as per my understanding, at any given time while the ...
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2answers
166 views

Can quantum computers design quantum computers autonomously better than other methods?

We've seen people use computers to design computers, AI to write computer programs, robots teach themselves, and even robots build themselves. I understand that conventional computers can be used to ...
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1answer
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Quantum Zeno Machines

Zeno machines (abbreviated ZM, and also called accelerated Turing machine, ATM) are a hypothetical computational model related to Turing machines that allows a countably infinite number of algorithmic ...
3
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0answers
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Deutsch Algorithm on a Quantum Turing Machine

I understood how a Quantum Turing Machine works from this lecture. It would be great if someone could give an example of how this machine could be used to solve a real problem though, for example, ...
2
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0answers
22 views

Explicit Construction of Classical Rules in Quantum Turing Machine

I knew that we usually use circuit instead of Turing machine in Quantum computation. In a deterministic Turing machine one has transition rules, $$ \delta: Q\times\Gamma\rightarrow Q\times\Gamma\...
2
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0answers
107 views

What precisely is the quantum extended Church-Turing thesis?

Context Prof. Aaronson mentions that the quantum extended Church-Turing (quantum ECT) thesis has no known counterexamples cf. around 14:18 but doesn't mention its precise statement. Questions What ...