Article

Natural Computing

, Volume 11, Issue 1, pp 81-94

Quantum computation with write-only memory

  • Abuzer YakaryılmazAffiliated withDepartment of Computer Engineering, Boğaziçi University Email author 
  • , Rūsiņš FreivaldsAffiliated withInstitute of Mathematics and Computer Science, University of Latvia
  • , A. C. Cem SayAffiliated withDepartment of Computer Engineering, Boğaziçi University
  • , Ruben AgadzanyanAffiliated withInstitute of Mathematics and Computer Science, University of Latvia

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Abstract

In classical computation, a “write-only memory” (WOM) is little more than an oxymoron, and the addition of WOM to a (deterministic or probabilistic) classical computer brings no advantage. We prove that quantum computers that are augmented with WOM can solve problems that neither a classical computer with WOM nor a quantum computer without WOM can solve, when all other resource bounds are equal. We focus on realtime quantum finite automata, and examine the increase in their power effected by the addition of WOMs with different access modes and capacities. Some problems that are unsolvable by two-way probabilistic Turing machines using sublogarithmic amounts of read/write memory are shown to be solvable by these enhanced automata.

Keywords

Quantum computation Write-only memory Quantum finite automata Counter automata Quantum Fourier transform