385 citations · 429 across the 11 of their papers we have counts for
19 papers
The second law, Maxwell's daemon and work derivable from quantum heat engines
Tien D. Kieu
With a class of quantum heat engines which consists of two-energy-eigenstate systems undergoing, respectively, quantum adiabatic processes and energy exchanges with heat baths at d…
Mathematical computability questions for some classes of linear and non-linear differential equations originated from Hilbert's tenth problem
Tien D. Kieu
Inspired by Quantum Mechanics, we reformulate Hilbert's tenth problem in the domain of integer arithmetics into problems involving either a set of infinitely-coupled non-linear dif…
Hypercomputability of quantum adiabatic processes: Fact versus Prejudices
Tien D. Kieu
We give an overview of a quantum adiabatic algorithm for Hilbert's tenth problem, including some discussions on its fundamental aspects and the emphasis on the probabilistic correc…
An anatomy of a quantum adiabatic algorithm that transcends the Turing computability
Tien D. Kieu
We give an update on a quantum adiabatic algorithm for the Turing noncomputable Hilbert's tenth problem, and briefly go over some relevant issues and misleading objections to the a…
Finiteness of the universe and computation beyond Turing computability
Tien D. Kieu
We clarify the confusion, misunderstanding and misconception that the physical finiteness of the universe, if the universe is indeed finite, would rule out all hypercomputation, th…
Using biased coins as oracles
Toby Ord, Tien D. Kieu
While it is well known that a Turing machine equipped with the ability to flip a fair coin cannot compute more that a standard Turing machine, we show that this is not true for a b…