For the final month of the course you will be working on a term project. Here is some information and guidelines for the project:

The project consists of two parts:

The following are some suggestions on broad topics for term projects. There are very few references on this page, but if you look at the web page for for Spring 2005, you can find an extensive list of references for some topics there just below the lecture notes, although this list needs some cleaning (also, the notation used in referencing journals may or may not be clear to you, ask us if you need help to interpret it). You should also be able to find plenty of material (perhaps even too much) for most of the topics online just by googling. An alternative is to go straight to the Los Alamos preprint archive (link on the class web page). You can also ask us if you want us to recommend some reading material. If you find some references that you think are especially good, then let us know, and we can add it to the webpage for future use.

**Physical realizations**- Nuclear spin qubits
- Realization of quantum teleportation
- Josephson junction qubits (superconductors)
- NMR-based quantum computing
- Quantum dot qubits
- Quantum computing with molecular magnets
- Cavity Quantum Electrodynamics (see e.g. this Caltech webpage)
- Bose-Einstein condensates and quantum control
- Quantum computing in optical lattices
- Electrons on liquid helium as qubits

**Adiabatic quantum algorithms**This is a paradigm for quantum calculations which is very different from (although formally equivalent to) the circuit model we have been using in class. Here are some papers exploring the subject (quant-ph/0001106, quant-ph/0206003, quant-ph/0405098).**Kitaev's phase estimation algorithm**This has a number of applications, among others speeding up quantum calculations without entanglement and significant speedup in solving differential equations. Some references: quant-ph/0310038, quant-ph/0408137.**Quantum Random Walks**Many applications and also some discussions of how to implement them experimentally.**Quantum error-correcting codes****Teleportation, more in-depth, use in error correction and other applications****Quantum communication****Quantum architectures, scalability****Limits on quantum measurement****"Interpreting" Quantum Mechanics**What is a measurement? What are the fundamental differences between Quantum Mechanics and classical non-deterministic theories? Why should quantum computers be more powerful than classical ones (or should they?). Copenhagen interpretation, many-worlds interpretation and consequences thereof if any. Lots of topics to explore here, but if you do though, make sure you choose something that you can write something more scientific than just an opinion piece on.