Song, D.
(2010),
Remarks on the Undecidability of the Quantum Halting Problem, Physical Review A (Atomic, Molecular and Optical Physics)
(Accessed June 2, 2025)
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Remarks on the Undecidability of the Quantum Halting Problem
Published
Author(s)
Abstract
The halting problem is a decision problem first posed and proved by Alan Turing in 1936. With the recent surge of interest in quantum computation, one is led to ask if the problem can also be considered for a quantum computer. It is reported that the halting problem may not be solved consistently in both the Schrodinger and Heisenberg pictures of quantum dynamics. The assumption of the existence of the quantum halting machine leads to a contradiction when a vector representing an observable is the system that is to be unitarily evolved in both pictures.Citation
Physical Review A (Atomic, Molecular and Optical Physics)
Pub Type
Journals
Keywords
Quantum halting problem, Schrodinger and Heisenberg pictures
Citation
Issues
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Created February 5, 2010, Updated February 17, 2017