ROM-based computation: quantum versus classical
B.C. Travaglione, M.A. Nielsen, H.M. Wiseman, A. Ambainis
TL;DR
This paper compares the space-efficiency of classical and quantum reversible computation using a ROM-based model, showing quantum computers need fewer writable qubits for universality and discussing potential time-efficiency benefits.
Contribution
It introduces a ROM-based model to compare classical and quantum reversible computation, highlighting quantum advantages in space and potential time efficiency.
Findings
Quantum ROM-based computer with one qubit is universal.
Classical ROM-based computer requires two writable bits for universality.
Quantum computation may offer time-efficiency advantages.
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.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum-Dot Cellular Automata