“Quantum Computation With Devices Whose Contents Are Never Read”, Abuzer Yakaryilmaz, Rusins Freivalds, A. C. Cem Say, Ruben Agadzanyan2010-11-04 (computability, STEM humor)⁠:

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 sub-logarithmic amounts of read/write memory are shown to be solvable by these enhanced automata.