0109016v2

related topics
{qubit, qubits, gate}
{algorithm, log, probability}
{time, systems, information}
{observables, space, algebra}
{group, space, representation}

ROM-based computation: quantum versus classical

B. C. Travaglione, M. A. Nielsen, H. M. Wiseman, A. Ambainis

abstract: We introduce a model of computation based on read only memory (ROM), which allows us to compare the space-efficiency of reversible, error-free classical computation with reversible, error-free quantum computation. We show that a ROM-based quantum computer with one writable qubit is universal, whilst two writable bits are required for a universal classical ROM-based computer. We also comment on the time-efficiency advantages of quantum computation within this model.

oai_identifier:
oai:arXiv.org:quant-ph/0109016
categories:
quant-ph
comments:
12 pages, 3 figures, minor corrections + section 5 substantially changed
arxiv_id:
quant-ph/0109016
journal_ref:
Quantum Information and Computation, Vol. 2, No. 4 (2002)
created:
2001-09-04
updated:
2002-07-02

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