With Mario Feingold, he published work in quantum chaos that is known to mathematicians as the Feingold–Peres conjecture and to physicists as the Feingold–Peres theory.

[3][4][5] According to his autobiography, he was born Aristide Pressman in Beaulieu-sur-Dordogne in France, where his father, a Polish electrical engineer, had found work laying down power lines.

Peres spent most of his academic career at Technion, where in 1988 he was appointed distinguished professor of physics.

He authored a textbook, Quantum Theory: Concepts and Methods, of which he wrote, N. David Mermin called the book "a treasure trove of novel perspectives on quantum mechanics" and said that Peres' choice of topics is "a catalogue of common omissions" from other approaches.

[8] Among its substantial discussion of the failure of hidden variable theories, the book includes a FORTRAN program for testing whether a list of vectors forms a Kochen–Specker configuration.