Never before have we been able to acquire, record, communicate, and use information in so many different forms. This revolution goes far beyond limitless content-information also underlies our understanding of ourselves, the natural world, and the universe. Discover how the concepts of information reveal breathtaking insights into the workings of nature, even as they lay the foundation of astounding new technologies.
The Science of Information: From Language to Black Holes
Explore the exciting concepts, history, and applications of information theory in 24 challenging and eye-opening half-hour lectures taught by a world-renowned physicist.
Overview
About
Dr. Benjamin Schumacher is Professor of Physics at Kenyon College, where he has taught for 20 years. He received his Ph.D. in Theoretical Physics from The University of Texas at Austin in 1990. Professor Schumacher is the author of numerous scientific papers and two books, including Physics in Spacetime: An Introduction to Special Relativity. As one of the founders of quantum information theory, he introduced the term qubit, invented quantum data compression (also known as Schumacher compression), and established several fundamental results about the information capacity of quantum systems. For his contributions, he won the 2002 Quantum Communication Award, the premier international prize in the field, and was named a Fellow of the American Physical Society. Besides working on quantum information theory, he has done physics research on black holes, thermodynamics, and statistical mechanics. Professor Schumacher has spent sabbaticals working at Los Alamos National Laboratory and as a Moore Distinguished Scholar at the Institute for Quantum Information at California Institute of Technology. He has also done research at the Isaac Newton Institute of Cambridge University, the Santa Fe Institute, the Perimeter Institute, the University of New Mexico, the University of Montreal, the University of Innsbruck, and the University of Queensland.
Trailer
01: The Transformability of Information
What is information? Explore the surprising answer of American mathematician Claude Shannon, who concluded that information is the ability to distinguish reliably among possible alternatives. Consider why this idea was so revolutionary, and see how it led to the concept of the bit-the basic unit of information....
33 min
02: Computation and Logic Gates
Accompany the young Claude Shannon to the Massachusetts Institute of Technology, where in 1937 he submitted a master's thesis proving that Boolean algebra could be used to simplify the unwieldy analog computing devices of the day. Drawing on Shannon's ideas, learn how to design a simple electronic circuit that performs basic mathematical calculations....
31 min
03: Measuring Information
How is information measured and how is it encoded most efficiently? Get acquainted with a subtle but powerful quantity that is vital to the science of information: entropy. Measuring information in terms of entropy sheds light on everything from password security to efficient binary codes to how to design a good guessing game....
31 min
04: Entropy and the Average Surprise
Intuition says we measure information by looking at the length of a message. But Shannon's information theory starts with something more fundamental: how surprising is the message? Through illuminating examples, discover that entropy provides a measure of the average surprise....
31 min
05: Data Compression and Prefix-Free Codes
Probe the link between entropy and coding. In the process, encounter Shannon's first fundamental theorem, which specifies how far information can be squeezed in a binary code, serving as the basis for data compression. See how this works with a text such as Conan Doyle's The Return of Sherlock Holmes....
31 min
06: Encoding Images and Sounds
Learn how some data can be compressed beyond the minimum amount of information required by the entropy of the source. Typically used for images, music, and video, these techniques drastically reduce the size of a file without significant loss of quality. See how this works in the MP3, JPEG, and MPEG formats....
30 min
07: Noise and Channel Capacity
One of the key issues in information theory is noise: the message received may not convey everything about the message sent. Discover Shannon's second fundamental theorem, which proves that error correction is possible and can be built into a message with only a modest slowdown in transmission rate....
31 min
08: Error-Correcting Codes
Dig into different techniques for error correction. Start with a game called word golf, which demonstrates the perils of mistaking one letter for another and how to guard against it. Then graduate to approaches used for correcting errors in computer operating systems, CDs, and data transmissions from the Voyager spacecraft....
32 min
09: Signals and Bandwidth
Twelve billion miles from Earth, the Voyager spacecraft is sending back data with just a 20-watt transmitter. Make sense of this amazing feat by delving into the details of the Nyquist-Shannon sampling theorem, signal-to-noise ratio, and bandwidth-concepts that apply to many types of communication....
31 min
10: Cryptography and Key Entropy
The science of information is also the science of secrets. Investigate the history of cryptography starting with the simple cipher used by Julius Caesar. See how entropy is a useful measure of the security of an encryption key, and follow the deciphering strategies that cracked early codes....
29 min
11: Cryptanalysis and Unraveling the Enigma
Unravel the analysis that broke the super-secure Enigma code system used by the Germans during World War II. Led by British mathematician Alan Turing, the code breakers had to repeat their feat every day throughout the war. Also examine Claude Shannon's revolutionary views on the nature of secrecy....
31 min
12: Unbreakable Codes and Public Keys
The one-time pad may be in principle unbreakable, but consider the common mistakes that make this code system vulnerable. Focus on the Venona project that deciphered Soviet intelligence messages encrypted with one-time pads. Close with the mathematics behind public key cryptography, which makes modern transactions secure-for now....
31 min
13: What Genetic Information Can Do
Learn how DNA and RNA serve as the digital medium for genetic information. Also see how shared features of different life forms allow us to trace our origins back to an organism known as LUCA-the last universal common ancestor-which lived 3.5 to 4 billion years ago....
31 min
14: Life's Origins and DNA Computing
DNA, RNA, and the protein molecules they assemble are so interdependent that it's hard to picture how life got started in the first place. Survey a selection of intriguing theories, including the view that genetic information in living cells results from eons of natural computation....
31 min
15: Neural Codes in the Brain
Study the workings of our innermost information system: the brain. Take both top-down and bottom-up approaches, focusing on the world of perception, experience, and external behavior on the one hand versus the intricacies of neuron activity on the other. Then estimate the total information capacity of the brain....
31 min
16: Entropy and Microstate Information
Return to the concept of entropy, tracing its origin to thermodynamics, the branch of science dealing with heat. Discover that here the laws of nature and information meet. Understand the influential second law of thermodynamics, and conduct a famous thought experiment called Maxwell's demon....
30 min
17: Erasure Cost and Reversible Computing
Maxwell's demon has startling implications for the push toward ever-faster computers. Probe the connection between the second law of thermodynamics and the erasure of information, which turns out to be a practical barrier to computer processing speed. Learn how computer scientists deal with the demon....
31 min
18: Horse Races and Stock Markets
One of Claude Shannon's colleagues at Bell Labs was the brilliant scientist and brash Texan John Kelly. Explore Kelly's insight that information is the advantage we have in betting on possible alternatives. Apply his celebrated log-optimal strategy to horse racing and stock trading....
32 min
19: Turing Machines and Algorithmic Information
Contrast Shannon's code- and communication-based approach to information with a new, algorithmic way of thinking about the problem in terms of descriptions and computations. See how this idea relates to Alan Turing's theoretical universal computing machine, which underlies the operation of all digital computers....
31 min
20: Uncomputable Functions and Incompleteness
Algorithmic information is plagued by a strange impossibility that shakes the very foundations of logic and mathematics. Investigate this drama in four acts, starting with a famous conundrum called the Berry Paradox and including Turing's surprising proof that no single computer program can determine whether other programs will ever halt....
31 min
21: Qubits and Quantum Information
Enter the quantum realm to see how this revolutionary branch of physics is transforming the science of information. Begin with the double-slit experiment, which pinpoints the bizarre behavior that makes quantum information so different. Work your way toward a concept that seems positively magical: the quantum computer....
30 min
22: Quantum Cryptography via Entanglement
Learn how a feature of the quantum world called entanglement is the key to an unbreakable code. Review the counterintuitive rules of entanglement. Then play a game based on The Newlywed Game that illustrates the monogamy of entanglement. This is the principle underlying quantum cryptography....
32 min
23: It from Bit: Physics from Information
Physicist John A. Wheeler's phrase "It from bit" makes a profound point about the connection between reality and information. Follow this idea into a black hole to investigate the status of information in a place of unlimited density. Also explore the information content of the entire universe!...
31 min
24: The Meaning of Information
Survey the phenomenon of information from pre-history to the projected far future, focusing on the special problem of anti-cryptography-designing an understandable message for future humans or alien civilizations. Close by revisiting Shannon's original definition of information and ask, "What does the theory of information leave out?"...
33 min
