Quantum random access stored-program machines

نویسندگان

چکیده

Random access machines (RAMs) and random stored-program (RASPs) are models of computing that closer to the architecture real-world computers than Turing (TMs). They also convenient in complexity analysis algorithms. The relationships between RAMs, RASPs TMs well-studied. However, clear their quantum counterparts still missing literature. We fill this gap by formally defining (QRAMs) (QRASPs) clarifying QRAMs, QRASPs (QTMs). In particular, we show P⊆EQRAMP⊆EQP⊆BQP=BQRAMP, where EQRAMP BQRAMP stand for sets problems can be solved polynomial-time QRAMs with certainty bounded-error, respectively. At heart our proof, is a standardisation QTM an extended halting scheme, which independent interest.

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ژورنال

عنوان ژورنال: Journal of Computer and System Sciences

سال: 2023

ISSN: ['1090-2724', '0022-0000']

DOI: https://doi.org/10.1016/j.jcss.2022.08.002