PL2293 - Philosophy of Quantum Mechanics
Assignment #1. Due: Thurs 9/15.
1.
The 2-path experiment involves electrons with the properties of Hardness and Color and the Big Question we asked
was: "What path does an individual white electron take?" The answe

11. Bohms Theory (Albert Chap 7)
Motivation: The state space of QM has bizarre mathematical properties (in
Topics:
I. Principles of BM
II. BM Explanations
of Experiments
particular, it allows states to be in superpositions). Can we replace it with a state

10. The Dynamics by Itself (Albert Chap 6)
Consider a system composed of a human observer h, a Color measuring device
Topics
I. Many Worlds
II. The Bare Theory
III. Many Minds
m, and an initially hard electron e. Before measurement, state is represented b

09. Collapse and GRW (Albert Chap 5)
I. Collapse
Recall:
Topics
I. Collapse
II. GRW
1. In general, states change via the Schrdinger dynamics:
|(t1) |(t2)
Schrdinger
evolution
2. When a measurement occurs, states change via the Projection Postulate:
When a

08. The Kochen-Specker Theorem and the Measurement Problem
How Should Superpositions be Interpreted? Part 2.
Topics
I. KS Theorem
II. Measurement
(A) Literally (QM description is complete):
Options:
(1) Standard Claim: The properties of a
quantum system i

07. Quantum Information Theory
Topics:
I. Qubits
II. Quantum Cryptography
III. Quantum Teleportation
IV . Quantum Computation
These notes generally follow the
presentation in Rieffel & Polak (2000)
I. Qubits
Classical Information Theory: Based on concept

06. Einstein-Podolsky-Rosen (EPR) and Bell Thought Experiments
How Should Superpositions be Interpreted? Part 1.
(A) Literally (QM description is complete):
One Claim: The properties of a quantum system
in a superposed state are indeterminate (do not
prob

05. Multiparticle Systems (Albert Chap 2)
I. 2 Particle Product Spaces
Motivation: A physical system is represented by a vector space (space of all possible states).
When theres more than one system we need more than one vector space. Mathematically, we c

04. Principles of Quantum Mechanics (Albert Chap 2)
I. Principles of Quantum Mechanics
We can now stipulate how vectors and operators represent quantum states and properties. Well
do it in terms of 5 principles:
(A) Physical states are represented by vect

03. Vectors, Vector Spaces, and Operators (Albert Chap 2)
I. Vectors and Vector Spaces
1. Vectors
a vector = a magnitude (length) and a direction
a number (or scalar) is
just a magnitude
One way to represent vectors:
y-axis
(x, y)
every point in x-y plane

02. The 2-Path Experiment (Albert Chap 1)
Note: Color and Hardness are used by Albert
just to make the discussion more concrete. The
actual properties being referred to are the spin of
an electron along two different directions (axes).
For electrons, spin

01. The 2-Slit Experiment
What is the world made of?
Dominant view late
17th, 18th cent
Newtonian
corpuscular
ontology
stable corpuscles of matter held in place by forces
empty space
lump
of stuff
model - Newtonian gravity
light as corpuscles
endorsed by

PL 2293 - Philosophy of Quantum Mechanics
Assignment #3: 2-Particle States and the Eigenvector-Eigenvalue Rule.
1.
Suppose a 2-particle system is in an entangled state represented by
|Q = |51|72 + |91|112,
where |x1 and |y2 are eigenstates of position for

PL 2293 - Philosophy of Quantum Mechanics
Assignment #2. The Principles of QM. Due: 9/19
1.
Suppose eigenvectors of Hardness and Color are given by the following column vectors:
|hard =
1
|soft =
0
0
|black =
1
"
|white =
-"
(a) Show that |hard and |soft

Topics:
I. Modal Interps
II. Quantum Logic
12. Modal Interpretations and Quantum Logic
I. Modal Interpretations
Motivation: Lets return to using Hilbert spaces to represent QM state spaces, and operators to
represent properties. The Kochen-Specker Theorem