# Quantum computing

Wikipedia page on quantum computing link

## R. Feynman suggestion

- R. Feynman

*There’s plenty of room at the bottom*

Talk at the annual meeting of the American Physical Society at Caltech (1959) pdf*When we get to the very, very small world—say circuits of seven atoms—we have a lot of new things that would happen that represent completely new opportunities for design. Atoms on a small scale behave like nothing on a large scale, for they satisfy the laws of quantum mechanics. So, as we go down and fiddle around with the atoms down there, we are working with different laws, and we can expect to do different things. We can manufacture in different ways. We can use, not just circuits, but some system involving the quantized energy levels, or the interactions of quantized spins, etc.*

## Seminal papers that opened the field of quantum computing

P. Benioff

*The computer as a physical system: A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines*

Journal of Statistical Physics**22**, 563 (1980) articleY. Manin

*Computable and uncomputable*(*Вычислимое и невычислимое*)

Moscow: Sovetskoye Radio Publishing House. Cybernetic Literature Editorial Board, 1980. -*Cybernetics*Series

Москва: Издательство “Советское радио”. Редакция кибернетической литературы, 1980. - Серия*Кибернетика*link to djvu (in russian)P. Benioff

*Quantum mechanical Hamiltonian models of discrete processes that erase their own histories: application to Turing machines*

International Journal of Theoretical Physics**21**, 177 (1982) articleP. Benioff

*Quantum mechanical Hamiltonian models of Turing machines*

Journal of Statistical Physics**29**, 515 (1982) articleR. Feynman

*Simulating physics with computers*

Int. J. Theor. Phys.**21**, 467 (1982) article pdf