Introduction to Quantum Randomness

Kai Lai Chung, Jean-Claude Zambrini

Kai Lai Chung, Jean-Claude Zambrini

Introduction to Random Time: Prologue Stopping Martingale Stopped Random Past and Future Other Times From First to Last Gapless Time Markov Chain in Continuum Time The Trouble with Infinite Introduction to Quantum Randomness: Classical Prologue Standard Quantum Mechanics Probabilities in Standard Quantum Mechanics Feynman's Approach to Quantum Probabilities Schrodinger's Euclidean Quantum Mechanics Beyond Feynman's Approach Time for a Dialogue.

Cristian S. Calude

Ana Silva, Eliška Greplová

Randomized benchmarking techniques have been an essential tool for assessing the performance of contemporary quantum devices. The goal of this tutorial is to provide a pedagogical, self-contained, introduction to randomized benchmarking. With this intention, every chapter is also supplemented with an accompanying Python notebook, illustrating the essential steps of each protocol. In addition, we also introduce more recent trends in the field that bridge shadow tomography with randomized benchmarking, namely through the gate-set shadow protocol.

Scott Aaronson

Ehtibar N. Dzhafarov

This is the preface for the book by E. N. Dzhafarov, J. V. Kujala, and V. H. Cervantes, titled Contextuality in Random Variables: A Systematic Introduction. It is to be published by Cambridge University Press in 2026.