This is a ten-week, one-credit course on Quantum Computing. The goal is to present an introduction to both the theoretical and experimental physics aspects of quantum computing. In a course such as this, there isn't time to go into details, rather the purpose is to get you to the point where you will be able to explore in greater detail on your own. In order to facilitate this, we will provide suggested reading material. We will also encourage discussions both during and outside of class.

There will be a set of ten lectures given by Prof. Mark Hillery and prof. Janos Berguo from the Physics Department of Hunter College / CUNY and by Prof. Michael Gershenson and Prof. Steve Schnetzer from the Rutgers Physics & Astronomy Department. The lectures will be on Thursday evenings from 6:40 pm to 8:00 pm in Hill Center Room 009. The first lecture will be on February 4 with one lecture each of the following weeks except for the week of spring break, March 17. We will post lecture notes here and on the Sakai web site after each lecture. These notes will consist of summaries of the main points of the lecture. They aren't meant to be self contained and you'll probably find them difficult to understand if you don't attend the lecture to see them in context. The following is an outline of the lecture schedule

**Lecture 1: A review of the basic principles of quantum mechanics.**-- Schnetzer (2/4)- The fundamental postulates of quantum mechanics
- Vector states
- Probability in quantum mechanics
- Measurements
- Electron spin
- Necessity of complex vector states
- Projection operators
- Density matrices

**Lecture 2: Basics of quantum computing**-- Hillery (2/11)- Qubits
- Quantum gates
- Quantum circuits
- Deutsch's algorithm

**Lecture 3: Bell's theorem**-- Hillery (2/18)- CHSH version
- Entanglement

**Lecture 4: Applications**-- Hillery (2/25)- More on entanglement
- Dense coding
- Teleportation

**Lecture 5: Quantum algorithms**-- Hillery (3/3)- Bernstein-Vazirani
- Grover

**Lecture 6: Quantum Measurements**-- Bergou (3/10)**Lecture 7: Superconductivity and the Josephson Effect.**-- Gershenson (3/24)- From normal metals to superconductors
- Cooper pairs
- Energy gap for quasiparticle excitations
- Flux quantization
- Kinetic inductance
- The DC Josephson effect
- SQUIDs

**Lecture 8: Macroscopic Quantum Effects in Superconducting Circuits**-- Gershenson (3/31)- Mesoscopic Josephson junctions
- Charging energy and quantum fluctuations
- Macroscopic quantum tunneling
- Coherent Superpositions of Distinct Macroscopic States

**Lecture 9: Superconducting Qubits**-- Gershenson (4/7)- The Divincenzo criteria for qubits
- Different qubit realizations
- Why superconducting qubits?
- From Cooper pair box to transmon
- Simple manipulations with superconducting qubits: Rabi oscillations
- Energy relaxation and dephasing

**Lecture 10: Protected Superconducting Qubits**-- Gershenson (4/14)- Idea of protection Cos (2φ) and cos(φ/2) Josephson elements
- Superinductors
- Prototype circuits for flux-pairing and charge-pairing qubits

Although there isn't an assigned textbook, the lectures by Prof. Hillery will cover material in the book ** Introduction to the Theory of Quantum Information Processing** by Bergou and Hillery. Relevant sections of this book will be posted on this website but you are encouraged to purchase the book if you want to see the background and more details related to the lectures.

For exploring beyond the introduction to quantum computing provided in this course, a good basic reference is the set of lecture notes by John Preskill of Caltech. Prof. Preskill is one the leaders in the field of quantum computing. His lecture notes are clear and thorough.

You might also want to refer to the book **Quantum Computation and Quantum Information** by Nielsen and Chuang. It is the canonical textbook in the field, although it is becoming a bit dated.

The lectures on the implementation of superconducting qubits will require some knowledge of condensed matter physics. Pre-requisite reading for Lecture 7 on superconductivity is lectures 18-20 of the online lecture course by S. Frolov of the University of Pittsburg. and pre-requisite reading for Lecture 9 on qubits is the nature article by John Clarke of Berkeley and Frank Wilhelm of the University of Waterloo.

An interesting companion to the course is the set of video lectures by David Deutsch of OxfordUniversity. Deutsch is a pioneer of quantum computing and was the first to formulate a description of a quantum Turing machine. The video lectures are informative and amusing but be aware that David Deutsch is an eccentric fellow. You will be exposed to his rather unconventional world view, the multi-world interpretation of quantum mechanics.

Notes on the first introductory lecture will be posted soon.

There will be four take home exercises during the ten-week period to accompany the material discussed in class.

The course will be graded Pass / No Credit. In order to receive credit for the course you will be expected to attend a minimum of seven of the lectures and submit three out of four take home assignments.

This page is maintained by Prof. Steve Schnetzer.