From Notices of the AMS
Mathematical models are the lenses by which mathematics reflects the world we live in, and thus they are fundamental for progress in scientific applications. And yet, science is fluid, and a lot of growth happens when fundamental assumptions are changed. This kind of growth is exemplified in the subject of quantum information. Quantum physics alters basic rules of information processing and leads to new results in computing and communication.
The scenario of two-party coin-flipping illustrates how the answer to a problem can change simply depending on the nature of the model. Let's suppose that two parties, Alice and Bob, are connected by a communication channel and wish to flip a coin together. Alice wants the outcome of the coin flip to be "0,"and Bob wants the outcome to be "1." Alice and Bob are permitted to send messages back and forth to one another, and at the end of the communication they will each broadcast bits, denoted X and Y respectively, declaring what they each believe the outcome of the coin flip to be.
- Also in Notices
- Applications of PDEs and Stochastic Modeling to Protein Transport in Cell Biology
- Euclidian Traveller in Hyperbolic Worlds