| Ph/CS 219 abc. Quantum Computation. 9 units (3-0-6); first,
second, third terms. Prerequisite: Ph 129 abc or equivalent. The theory
of quantum information and quantum computation. Overview of classical
information theory, compression of quantum information, transmission
of quantum information through noisy channels, quantum error-correcting
codes, quantum cryptography and teleportation. Overview of classical
complexity theory, quantum complexity, effecient quantum algorithms,
fault-tolerant quantum computation, physical implementations of quantum
computation. Instructor: Preskill. For further information, see http://www.theory.caltech.edu/~preskill/ph219/.
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| Ph 125 abc. Quantum Mechanics. 9 units (3-0-6); first, second,
third terms. Prerequisites: Ma 2 ab, Ph 12 abc or Ph 2 ab, or their
equivalents. A one-year course in quantum mechanics and its applications,
for students who have completed Ph 12 or Ph 2. Wave mechanics in 3D,
scattering theory, Hilbert spaces, matrix mechanics, angular momentum,
symmetries, spin-1/2 systems, approximation methods, identical particles,
and selected topics in atomic, solid-state, nuclear, and particle
physics. Instructor: Mabuchi. |
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| EE/Ma 126 ab. Information Theory. 9 units (3-0-6); first,
second terms. Prerequisite: Ma 2. Shannon's mathematical theory of
communication, 1948-present. Entropy, relative entropy, and mutual
information for discrete and continuous random variables. Shannon's
source and channel coding theorems. Mathematical models for information
sources and communication channels, including memoryless, first-order
Markov, ergodic, and Gaussian. Calculation of capacity-cost and rate-distortion
functions. Kolmogorov complexity and universal source codes. Side
information in source coding and communications. Network information
theory, including multi-user data compression, multiple access channels,
broadcast channels, and multi-terminal networks. Discussion of philosophical
and practical implications of the theory. This course, when combined
with EE 112 abc, EE/Ma 127 ab, EE 161, and/or EE 167 should prepare
the student for research in information theory, coding theory, wireless
communications, and/or data compression. Instructor: Effros. |
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