385 citations · 394 across the 3 of their papers we have counts for
3 papers
quant-ph2005★ 385 cited
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…
math.GM2005★ 2 cited
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…
quant-ph2005★ 7 cited
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…