Are quantum computers still Turing machines?

Are quantum computers still Turing machines?

This is because quantum computer designs (still not scalable even with high parallelism), are still Turing machines, which are limited by Turing machine constraints. The result is quantum computers only generate approximate solutions to problems that require irrational number degrees of problem solving freedom.

Can a quantum computer do more than a Turing machine?

There’s no difference in terms of computability. A Turing machine can compute anything that a quantum computer can compute.

Is a quantum computer a nondeterministic Turing machine?

Quantum Turing machines The main difference between a quantum Turing machine and a nondeterministic one is this: instead of nondeterministically ‘choosing’ a single transition out of two or more at each step, a quantum Turing machine makes a transition to a superposition of one or more possible transitions.

Do Super Turing machines exist?

Turing’s oracle machines are mathematical abstractions, and are not physically realizable.

Which is more powerful deterministic Turing machine or non deterministic Turing machine?

Non-determinism is more powerful than determinism for pushdown automata. Quite surprisingly, the deterministic and non-deterministic Turing machines are the same in power. Note: If a nondeterministic Turing machine accepts a language L, then there is a deterministic Turing machine that also accepts L.

Is there something beyond Turing complete?

Yes, there are theoretical machines which exceed the Turing machines in computational power, such as Oracle machines and Infinite time Turing machines.

Is there something stronger than a turing machine?

Algorithms and automata that are more powerful than Turing machines are called super-recursive. Computations that cannot be realized or simulated by Turing machines are called hyper-computations.

What is a Turing machine in quantum computing?

Turing machines. A quantum Turing machine (QTM), also a universal quantum computer, is an abstract machine used to model the effect of a quantum computer. It provides a very simple model which captures all of the power of quantum computation.

What is QTM in quantum computing?

A quantum Turing machine (QTM), also a universal quantum computer, is an abstract machine used to model the effect of a quantum computer. It provides a very simple model which captures all of the power of quantum computation. Any quantum algorithm can be expressed formally as a particular quantum Turing machine.

Can a quantum computer with a finite number of qubits compute everything?

The answer is NO, quantum computers with finite number of qubits can compute only TOTAL functions that are PROVABLY TERMINATING. The very existence of a quantum algorithm solving a problem is its proof of termination, by structural induction on the structure of its quantum gates representation.

How are Quantum Machines related to classical machines?

Quantum Turing machines can be related to classical and probabilistic Turing machines in a framework based on transition matrices. That is, a matrix can be specified whose product with the matrix representing a classical or probabilistic machine provides the quantum probability matrix representing the quantum machine.