385 citations · 400 across the 6 of their papers we have counts for
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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…
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…
Quantum Heat Engines, the Second Law and Maxwell's Daemon
Tien D. Kieu
We introduce a class of quantum heat engines which consists of two-energy-eigenstate systems, the simplest of quantum mechanical systems, undergoing quantum adiabatic processes and…
Quantum adiabatic algorithm for Hilbert's tenth problem: I. The algorithm
Tien D. Kieu
We review the proposal of a quantum algorithm for Hilbert's tenth problem and provide further arguments towards the proof that: (i) the algorithm terminates after a finite time for…