Can a computer be more powerful than a Turing machine?

Can a computer be more powerful than a Turing machine?

It is known that Turing machines are not so efficient, though they polynomially simulate classical computers. Quantum computers are believed to be exponentially more efficient than Turing machines. In this sense, you can beat Turing machines (if you could only build a scalable quantum computer).

Is Turing machine more powerful than automata?

2 Answers. If you only consider that ‘Turing machines can always be made to behave like a stack’ you can only conclude that they are at least as powerful as pushdown automata. But in general, yes it is true, Turing machines are more powerful than PDAs.

Which one type of Turing machine is more powerful than others?

Explanation: The multitape turing machine model seems much powerful than the single tape model, but any multi tape machine, no matter how many tapes, can be simulated by single taped TM.

Is a universal computer as powerful as a Turing machine?

Actually any practical computer is just a DFA, which is strictly less powerful than a Turing machine is. Though the DFA could be exorbitantly complex and large. With finite memory you can represent only finitely many states.

Why is Turing machine more powerful than other machines?

Strictly speaking a Turing machine is also more powerful for the simple reason that it is able to produce an output string, rather then just “yes” or “no” as finite state machines do. The playing field can be levelled in different ways.

Why is Turing machine more powerful than finite state machine?

For example, a Turing machine is said to recognise a sequence of symbols written on the tape if it is started on the tape and halts in a special state called a final state. That is a Turing machine is more powerful than a finite state machine because it can count.

What is Turing machine in theory of computation?

A Turing machine is a mathematical model of computation that defines an abstract machine that manipulates symbols on a strip of tape according to a table of rules. The Turing machine was invented in 1936 by Alan Turing, who called it an “a-machine” (automatic machine).

Why Turing machine is more powerful?

The short answer is that Turing machines are more powerful because they can remember more. A 15-state finite automaton, for example, can only remember one of 15 things (“I’ve seen 2 c’s in a row.”; “I haven’t seen any d’s yet.”; etc.).

Why is Turing machine more powerful than FSM?

What is the reason behind a Turing machine is more powerful than finite state machine FSM? turing machine head movement is continued to one direction. turing machine has capability remember arbitrary long sequence of input string.

Is quantum Turing machine a theoretical model?

Searching for alternatives and taking the quantum nature of the world into consideration, Feynman has the idea of quantum computation in 1982. As model executing such a quantum computation, he proposes the quantum Turing machine as quantum theoretical analogon to the Turing machine.

Are quantum computers more than Turing complete?

Yes. An early result from Bernstein and Vazirani (Quantum Complexity Theory ) shows that a quantum Turing machine can be used to simulate a classical Turing machine. This is enough to show that quantum Turing machines, and hence quantum computers, are Turing complete.