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.
What does the Church Turing thesis state?
The Church-Turing thesis (formerly commonly known simply as Church’s thesis) says that any real-world computation can be translated into an equivalent computation involving a Turing machine.
Is quantum computing more powerful 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).
Can a quantum computer solve the halting problem?
No, quantum computers (as understood by mainstream scientists) cannot solve the halting problem. We can already simulate quantum circuits with normal computers; it just takes a really long time when you get a decent number of qubits involved. (Quantum computing provides exponential speedups for some problems.)
Is there something stronger 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.
What is Turing complete programming language?
Practically, what you need to know is that a Turing-complete language (also called a universal language) is one where you can compute anything that any other computational method can compute. In other words, a language that’s non-universal—or Turing incomplete—has some limits on the set of things that it can compute.
What was the main intention behind designing of Church-Turing thesis?
Church Turing Thesis : This was done to define algorithms properly. So, Church made a mechanical method named as ‘M’ for manipulation of strings by using logic and mathematics.
Do quantum computers disprove the Church-Turing thesis?
Yes, quantum supremacy disproves the extended church-turing thesis (Bernstein-Vazirani). This thesis states that any computation that can be computed efficiently can be computed efficiently with a classical computer (ie a Turing machine).
Is Q Turing-complete?
Virtually all programming languages today are Turing-complete. The concept is named after English mathematician and computer scientist Alan Turing. A related concept is that of Turing equivalence – two computers P and Q are called equivalent if P can simulate Q and Q can simulate P.
Can a Turing machine simulate a quantum computer?
3 Answers. Yes, a quantum computer could be simulated by a Turing machine, though this shouldn’t be taken to imply that real-world quantum computers couldn’t enjoy quantum advantage, i.e. a significant implementation advantage over real-world classical computers.
What is MIP * re?
The new paper proves that the class of problems that can be verified through interactions with entangled quantum provers, a class called MIP*, is exactly equal to the class of problems that are no harder than the halting problem, a class called RE. The title of the paper states it succinctly: “MIP* = RE.”
What Turing machine Cannot do?
Although Turing Machine can’t compute it ,human cannot do it too,I think. It contradict identical law. In the question, “computation” refers to Turing computation. Turing thought Godel number is not computed by Turing Machine (TM, say “computer” in Turing’s paper ).
Can a real computer be used for hypercomputation?
A real computer (a sort of idealized analog computer) can perform hypercomputation if physics admits general real variables (not just computable reals ), and these are in some way “harnessable” for useful (rather than random) computation.
Which is the best definition of hypercompetition?
Hypercompetition is rapid and dynamic competition characterized by unsustainable advantage.
How does time travel make 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.
Which is the best example of a hypercomputer?
Hypercomputer models range from useful but probably unrealizable (such as Turing’s original oracle machines), to less-useful random-function generators that are more plausibly “realizable” (such as a random Turing machine ).