#### Supplement to The Consistent Histories Approach to Quantum Mechanics

## Further Reading

This supplement contains recommendations for further reading on a number of topics in various sections of the main text.

*Section 2*: Quantum Properties. The basic definition of a quantum
property as the term is used here was set forth in Section III.5 of
von Neumann (1932). Ch. 4 of Griffiths (2002a) provides a fairly
elementary introduction, while Section 4.6 provides an elementary
example of the quantum logic scheme of Birkhoff and von Neumann
(1936). A detailed discussion of the alternative logic associated with
consistent histories will be found in Griffiths (2014).

*Section 3*: Quantum Probabilities. Chapter 5 of Griffiths
(2002a) introduces quantum probabilities and sample spaces in a way
that shows their relationship to their classical counterparts.

*Section 4.1*: Quantum Time Development: Kinematics. History
families in which the choice of events to discuss at a given time
depends on particular events in the past or in the future are
discussed in Section 14.4 of Griffiths (2002a).

*Section 4.2*: Quantum Time Development: Dynamics. Several
very simple examples (toy models) of quantum time development,
including radioactive decay, measurements, and interferometers will be
found in Chapters 12 and 13 of Griffiths (2002a).

*Section 5.2*: Counterfactual Reasoning. See the extended
discussion in Chapter 19 of Griffiths (2002a) and an application to
Hardy's paradox in Chapter 25. The exchange between Stapp and the
author in Stapp (2012) and Griffiths (2012) may also be of
interest.

*Section 6*: Classical Physics. For a lengthier discussion
of how classical emerges from quantum physics see Chapter 26 of
Griffiths (2002a), which is based on ideas in Gell-Mann and Hartle
(1993, 2007) and Hartle (2011). These are broadly consistent with the
approach of Omnès (1988).

*Section 7*: Measurement and Preparation. Measurements are discussed
at considerable length in Chapters 17 and 18 of Griffiths (2002a), and
as applied to Bell’s problem in Griffiths (2011b). For preparation of
quantum states, see Section 3.5 of Griffiths (2014).

*Section 7.4*: Generalized and Weak Measurements. See
Griffiths (2017a) for a detailed discussion of both of these topics
from the histories perspective.

*Section 8*: Locality and Special Relativity. Detailed discussions
will be found in Chapters 23 and 24 of Griffiths (2002a) and in
Griffiths (2002b, 2011a, 2011b).

*Section 8.2*: Bell inequalities and Einstein
locality. Discussion of these topics from the histories perspective
will be found in Chapters 23 and 24 of Griffiths (2002a), whereas
Griffiths (2011b) provides a more readable, and Griffiths (2011a) a
more detailed analysis.

*Section 9*: Quantum Information. A brief introduction to the
histories perspective on quantum information will be found in
Griffiths (2017b), whereas Griffiths (2013) has an extended and more
technical discussion.

*Section 10.3*: Incompatibility paradoxes Details of the
histories approach will be found in Ch. 22 of Griffiths (2002a). In
addition see Sec. V E of Griffiths (2017a) for remarks on the
widely discussed but often ill-defined notion of quantum
“contextuality”.

*Section 10.4*: Counterfactual paradoxes. In addition to the
material indicated above for Section 5.2, see the discussion of
Wheeler's delayed choice in Section II B of Griffiths
(2017a).

*Section 11.4*: Unicity is one of the main topics in
Griffiths (2014); see in particular the discussion in Section 4.