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A Schematic Definition of Quantum Polynomial Time Computability
[article]
2020
arXiv
pre-print
In the past four decades, the notion of quantum polynomial-time computability has been mathematically modeled by quantum Turing machines as well as quantum circuits. This paper seeks the third model, which is a quantum analogue of the schematic (inductive or constructive) definition of (primitive) recursive functions. For quantum functions mapping finite-dimensional Hilbert spaces to themselves, we present such a schematic definition, composed of a small set of initial quantum functions and a
arXiv:1802.02336v3
fatcat:b6uephkzrbd6hg6fm4ld4dcmye