*If you find your way to this page, and you haven’t already been attending meetings, you can find out more information (like the location) from:* mike@DenverPhysics.org

More information about the group and what we’re likely to cover in future meetings can be found on this page.

### May 27th Matt: The Uncertainty Principle, Part I

Where: The regular place on Floyd

When: 3:00pm

### June 3rd Jonathan: The Quantum “Bomb Tester”

Where: The regular place on Floyd

When: 3:00pm

### June 10th: The Density Matrix and Purity

Where: The regular place on Floyd

When: 3:00pm

We’re going to switch back to quantum information for a bit now and pick up where we left off back on January 28th. We’ll look at the Density Matrix and how to calculate its Purity, telling us to what extent it represents a mixed or pure state.

This material starts on page 6 of the “New Notes”. It would be a good idea to review everything in the first 5 pages before the meeting.

### June 17th: The Partial Trace and Quantifying Entanglement

Where: The regular place on Floyd

When: 3:00pm

The Partial Trace can be used to construct the individual density matrix for a system that is part of an entangled pair. The purity of this matrix then provides a measure of “how entangled” the two systems are.

This material starts on page 10 of the “New Notes”. But be aware that the write up on the partial trace is somewhat confusing and we will probably do it a different (easier) way today.

### June 24thth: Topic TBD

Where: The regular place on Floyd

When: 3:00pm

### Past Meetings

### May 20th: General Discussion

Where: The regular place on Floyd

When: 3:00pm

Attending: Eduard, John, Jonathan, Mary Ann, Mike, Stefan

Here’s what we covered today:

- Reviewed the “transition” stuff a little bit. Trying to make sure everybody (especially anyone who wasn’t there last time) has a good handle on that.
- Looked at how these ideas come into play with a “four step” outline for solving the Schroedinger equation.
- General discussion and questions.

### May 13th: The transition from discrete to continuous spaces

Where: The regular place on Floyd

When: 3:00pm

Attending: Eduard, Jonathan, Mary Ann, Mike, Stefan, Tina

References: (1) Notes (2) Summary Chart

Our group has spent several months studying quantum theory in a discrete setting. That is, in a finite vector space, where states are vectors and operators are matrices. The mathematics here (basic linear algebra) is pretty easy.

We are now starting to look at quantum mechanics, which is a continuous theory. The states are functions and the operators are are things like derivatives. The math here (calculus,differential equations, and Fourier transforms) is significantly more difficult. And yet (I claim) the underlying theory is in fact exactly the same once you strip out the mathematical complexities.

In order to do this, we need to understand the relationship between the kind of mathematical space we’ve been using for quantum information theory and the kind of space we’ll now be using for quantum mechanics. Explaining the transition between these two spaces is the purpose of the meeting. This will probably take more than one meeting to cover. We’ll get as far as we can today, and then think about where to go from here.

May 6th: NO MEETING

April 29th: NO MEETING

April 22nd: Stefan did the Infinite Well

Where: The regular place on Floyd

Attending: Stefan, Eduard, John, Jonathan, Mary Ann, Mike

Previous meeting descriptions should still be available at:

meetup.com/Denver-Physics/events/past