Which problem Cannot be solved by Turing machine?

Alan Turing proved in 1936 that a general algorithm to solve the halting problem for all possible program-input pairs cannot exist.

Can all problems be solved by a Turing machine?

Any problem that you can solve on a computer (even a quantum computer) can be solved by a Turing machine. A Turing machine can actually solve problems that no finite computer can solve, since Turing machines have unbounded memory, which real computers do not.

Is there something more powerful than a Turing machine?

Yes, there are theoretical machines which exceed the Turing machines in computational power, such as Oracle machines and Infinite time Turing machines. The buzzword that you should feed to Google is hypercomputation.

Can a Turing machine calculate anything?

Assuming that the Turing machine notion fully captures computability (and so that Turing’s thesis is valid), it is implied that anything which can be “computed”, can also be computed by that one universal machine. Conversely, any problem that is not computable by the universal machine is considered to be uncomputable.

What is halting problem in Turing machine TM )?

The Halting Problem is the problem of deciding or concluding based on a given arbitrary computer program and its input, whether that program will stop executing or run-in an infinite loop for the given input.

Is Hypercomputation possible?

It seems natural that the possibility of time travel (existence of closed timelike curves (CTCs)) makes hypercomputation possible by itself. However, this is not so since a CTC does not provide (by itself) the unbounded amount of storage that an infinite computation would require.

Are quantum computers better than Turing machines?

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 an algorithm a Turing machine?

The Church-Turing thesis states that an algorithm is a Turing machine (see [462,891] for more details). The input to the algorithm is encoded as a string of symbols (usually a binary string) and then is written to the tape. The machine then executes actions, which provides actuation to the environment.