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This Element has three main aims. First, it aims to help the reader understand the concept of computation that Turing developed, his corresponding results, and what those results indicate about the limits of computational possibility. Second, it aims to bring the reader up to speed on analyses of computation in physical systems which provide the most general characterizations of what it takes for a physical system to be a computational system. Third, it aims to introduce the reader to some different kinds of quantum computers, describe quantum speedup, and present some explanation sketches of quantum speedup. If successful, this Element will equip the reader with a basic knowledge necessary for pursuing these topics in more detail.

This Element introduces major issues in the epistemology of experimental physics through discussion of canonical physics experiments and some that have not yet received much philosophical attention. The primary challenge is to make sense of how physicists justify crucial decisions made in the course of empirical research. Judging a result as epistemically significant or as calling for further technical scrutiny of the equipment is one important context of such decisions. Judging whether the instrument has been calibrated, and which data should be included in the analysis are others. To what extent is it possible to offer philosophical analysis, systematization, and prescriptions regarding such decisions? To what extent can there be explicit epistemic justification for them? The primary aim of this Element is to show how a nuanced understanding of science in practice informs an epistemology of experimental physics that avoids strong social constructivism.

Quantum mechanics is an extraordinarily successful scientific theory. But more than 100 years after it was first introduced, the interpretation of the theory remains controversial. This Element introduces some of the most puzzling questions at the foundations of quantum mechanics and provides an up-to-date and forward-looking survey of the most prominent ways in which physicists and philosophers of physics have attempted to resolve them. Topics covered include nonlocality, contextuality, the reality of the wavefunction and the measurement problem. The discussion is supplemented with descriptions of some of the most important mathematical results from recent work in quantum foundations, including Bell's theorem, the Kochen-Specker theorem and the PBR theorem.