Popular Science Hits the Spot

Friday I picked up How the Universe Got Its Spots : Diary of a Finite Time in a Finite Space by the astrophysicist Janna Levin. I met Janna once. Fresh off the factory floor at Caltech, I arrived at Berkeley having convinced the graduate school admissions people there that I was going to do particle physics. I really had no such intentions. I had decided I wanted to do astrophysics. Luckily I didn’t have to take the first year grad courses (so I’ve only been through Jackson, once, thank you very much!) so I was able to immediately start taking astrophysics classes. Having taken only one astro course at Caltech, I really had a lot of learning to do! But already in my first year I was trying to find some research to do: research was the reason I went to grad school, not to take classes. One of the people I visited was Janna Levin, who at the time was a postdoc. She gave me these really cool papers on chaos in black hole solutions as well as on the main subject of this popular book, what if the large scale topology of the universe is nontrivial. So I’m sure she doesn’t remember me, but I remember those papers on topology and also a paper she wrote with J.D. Barrow on the twin paradox in compact universes. I would be neglegent if I didn’t quote the Simpsons episode where Stephen Hawking makes an appearance:

Hawking: Your theory of a donut-shaped universe is intriguing, Homer. I may have to steal it.
Homer: Wow, I can’t believe someone I never heard of is hanging out with a guy like me.
Moe: All right, it’s closing time. Who’s paying the tab?
Homer: [imitating Hawking’s voice box] I am.
Hawking: I didn’t say that.
Homer: [still imitating] Yes I did.
[a glove comes out of Hawking’s wheelechair, bopping Homer in the face]
Homer: [still imitating] D’oh.

Shortly after talking to Dr. Levin about her work, I met with Dr. Daniel Lidar in the Chemistry department who was working on quantum computing. I had done some “research” as an undergrad on quantum computing, and the newness of quantum theory really appealed to me. Astrophysics is grand and beautiful and there was so much new data coming in, but many of the great theory problems seemed so large and so well gone over that I was sucked away from astrophysics. I am still jealous of the astrophysicist when they get to contemplate the entire frickin universe. Whereas I get to contemplate things I shall never really see. Well both are pretty cool.
“How the Universe Got It’s Spots” is an interesting little book. It is written as a series of letters to the author’s mother and explains all sorts of science, from topology, to black holes, to quantum theory. I’ve become, over the years, a hell of picky person when it comes to popular science books. I will admit that there were a few times when I had to close my brain during “Spots”, but most of these have to do with describing quantum theory, and happily it wasn’t the uncertainty principle which got mangled. And I’m just too stubborn to listen to what anyone else has to say about quantum theory. So me saying there were only a few rough spots in “Spots” is like saying that it’s really really well done.
Interestingly, the book takes a very personal view of the science discussed in the book. Not personal like most popular science articles where the author descripes his or her story and relationship to all these bigwigs in the grand quest we call science, but personal instead in detailing the authors emotional relationship to her work (and in some broader context, her relationship to the world around her as well.) In this way it reminds me a bit of Good Benito by Alan Lightman. Those astrophysicists really how to hit a guys emotion nerves. Here is a nice passage from “Spots” describing mathematicians and their penchant for being insane:

When I tell the stories of their suicide and mental illness, people always wonder if their fragility came from the nature of the knowledge-the knowledge of nature. I think rather that they went mad from rejection. Their mathematical obsessions were all-encompassing and yet ethereal. They needed their colleagues beyond needing their approval. To be spurned by their peers meant death of their ideas. They needed to encrypt the meaning in others’ thoughts and be assured their ideas would be perpetuated.

Another reason that I’m hard on popular science books has to do with the amount of learned. Growing up, the best popular science books all had one common trait. You would be reading the book and thinking about the topic and you would think, “well, it seems to me that what they’ve talked about here implies X.” And then a few pages latter you would read that indeed scientists discovered that such and such does imply X! Great popular science to me has a lot to do with great foreshadowing. The problem I have now is that I know most of the story. I’ve caught up to modern times. So the foreshadowing doesn’t work for me.
On the other hand, popular science articles do have a very interesting effect when I read them today. They remind me of the big picture, and often they let my mind wander. While I was reading “Spots,” for instance, the following occurred to me. One of the reasons we love relativity, both special and general is that it arises from such simple postulates into a beautiful and complex theory. One sometimes hears that this is missing in quantum theory: where do all these postulates about Hilbert space and Born’s rule and such come from? Are there some nice basic posulates from which we can reason, much like Einstein did for special relativity, as to why quantum theory should be the way it is? But while I was reading “Spots” it occurred to me that may this was an illusion. Suppose that instead of discovering special and general relativity before quantum theory (O.K. there is some overlap, but the truely disturbing parts of quantum theory emerged after both relativity theories.) If you are a quantum person living in a quantum world, does all this talk about mirrors and clocks seems rather troubling. Mirrors are big classical thingees. What do quantum mirrors look like, and is it natural to talk the thought experiments that Einstein used? But in a larger sense, I also began to wonder if the principles of relativity are really so natural. Are they natural to someone who experiences the amplitudes of quantum theory in their everyday experience? Why is it that we spend time trying to think about how quantum theory might emerge (this is, after all, what interpretations are really after, isn’t it?), but don’t spend time thinking about a deeper theory from which, say, special relativity might emerge. This, I guess is one reason I’m interested in loop quantum gravity: there, one of the challenges is to really see how our four dimensional world emerges from the, for a better word for it, quantum foam. So why does special relativity look the way it does, quantum boy? And it’s silly questions like these which keep me reading popular science, and will continue to keep me reading popular science, long after I’ve grown accustomed to the history.

Some Spiffy Physics Dudes

Howard Barnum passes along this link to a home video of the 5th Solvay conference held in 1927. It was at this conference that Heisenberg and Born delivered a paper in which they said

We regard quantum mechanics as a complete theory for which the fundamental physical and mathematical hypotheses are no longer susceptible of modification.

17 of the 29 participants in this Solvay conference were current or future Nobel prize winners.
The home video gives evidence that physicists have alway been jovial joking hams for the camera.

I Want! I Want!

Wired has an article about smart interactive whiteboards. Being a theorist, whiteboards and a pen and pad of paper are two of my most useful tools. I really don’t know if one of these whiteboards would really help me, but still: they look pretty spiffy! Now if only I had a few grand stashed away

The Rest of the Story

Rumors (Uncertain Principles and Luboš Motl’s reference frame) are that the Eovtos experiment here at the University of Washington may have observed a deviation from Newton’s laws at small lengths (less than one hundred microns.) Of course this would be huge news, and their desire to take it slow is certainly understandable and, I might add, is good science.
I remember driving down the road one day and I heard the radio man Paul Harvey report that a group of physicists had discovered room temperature superconductors. I recall that I got so excited that I actually started crying. Such a discovery would presumably change the world! Alas, it turned out to not be true. Either Paul Harvey had made it up or the group’s announcement was not correct. And now you know, “the rest of the story.”

A Physicist Does Math

I always like to show the following to those who have just learned quantum theory. The commutation relation between poisition and momentum is [tex]$[x,p]=i hbar$[/tex] or [tex]$xp-px=i hbar$[/tex]. Now act on an eigenstate of the [tex]$x$[/tex] operator [tex]$|x_0rangle$[/tex] and you get [tex]$(xp-px)|x_0rangle=xp|x_0rangle- p x_0 |x_0rangle$[/tex]. Take the inner product of this state with the ket [tex]$langle x_0|$[/tex]: [tex]$langle x_0 | (xp|x_0rangle- p x_0 |x_0rangle)= langle x_0| (x_0 p – x_0 p)|x_0rangle=0$[/tex]. But if we carry out the same procedure on the right hand side of the commutation relation we get [tex]$langle x_0| i hbar |x_0rangle=ihbar$[/tex], which, last time I checked, was not zero. Snicker. It’s so mean to give this to those who’ve just learned quantum theory, but shucks, it’s also pretty fun to watch them squirm and figure out what went wrong.

Self-Correction

Sometimes you write a paper and think it’s all ready for submission and then after you submit it to the archive you find that it is lacking for quite a few reasons. On Friday I posted the paper quant-ph/0506023 (and did the new paper dance!) But after communications from Michael Nielsen and David Poulin, I realized that I had made a mistake in one of my claims (the proof I had did not work) and that I had very much misrepresented what is new in this paper (in particular in relationship to quant-ph/0504189 and quant-ph/0412076.) Luckily the mistake in my proof was not a big deal for the paper and also luckily one can correct one’s foolishness and clarify what’s new and interesting in the paper. Here is the updated title and abstract:
Operator Quantum Error Correcting Subsystems for Self-Correcting Quantum Memories
Authors: Dave Bacon
Comments: 17 pages, 3 figures, title change, rewrite of connection to operator quantum error correction, references added

The most general method for encoding quantum information is not to encode the information into a subspace of a Hilbert space, but to encode information into a subsystem of a Hilbert space. Recently this notion has led to a more general notion of quantum error correction known as operator quantum error correction. In standard quantum error correcting codes, one requires the ability to apply a procedure which exactly reverses on the error correcting subspace any correctable error. In contrast, for operator error correcting subsystems, the correction procedure need not undo the error which has occurred, but instead one must perform correction only modulo the subsystem structure. This does not lead to codes which differ from subspace codes, but does lead to recovery routines which explicitly make use of the subsystem structure. Here we present two examples of such operator error correcting subsystems. These examples are motivated by simple spatially local Hamiltonians on square and cubic lattices. In three dimensions we provide evidence, in the form a simple mean field theory, that our Hamiltonian gives rise to a system which is self-correcting. Such a system will be a natural high-temperature quantum memory, robust to noise without external intervening quantum error correction procedures.

They Flutter Ahead of You, Your Possible Futures

I love the work I do. The fact that I get to spend large amounts of time thinking about computation and quantum theory…well I can’t believe how lucky I’ve been! And now I get to teach and yell and scream about computation and quantum theory. Yes, very lucky!
But, like most other people I know, I sometimes wonder what my life would be like if I didn’t do what I currently do. Especially at times when I don’t think I’m doing a particularly good job at the work I do, I like to muse about the different possiblities. Especially on my bus ride to work. What are my favorite daydreams? Founding a new university. Writing speculative popular science books. Touring the country delivering science lectures. None of which are really that far from what I really do. Which makes me think I am a narrow minded sheltered elitist. Which then makes me think I should do something really different, like move to a ski town and open a bookstore. Or move to a beautiful valley surrounded by mountains and become a rancher. Which makes me laugh, because these really aren’t so different for the majority of people. And then I exit the bus and get to my office and read through the list of titles in the latest Physical Review Letters, and again I can’t imagine every doing anything but my current job.

Self Promotion of Self-Correcting Paper

Everybody do the new paper dance, quant-ph/0506023
Quantum Error Correcting Subsystems and Self-Correcting Quantum Memories
Authors: D. Bacon
Comments: 16 pages

The most general method for encoding quantum information is not to encode the information into a subspace of a Hilbert space, but to encode information into a subsystem of a Hilbert space. In this paper we use this fact to define subsystems with quantum error correcting capabilities. In standard quantum error correcting codes, one requires the ability to apply a procedure which exactly reverses on the error correcting subspace any correctable error. In contrast, for quantum error correcting subsystems, the correction procedure need not undo the error which has occurred, but instead one must perform correction only modulo the subsystem structure. Here we present two examples of quantum error correcting subsystems. These examples are motivated by simple spatially local Hamiltonians on square and cubic lattices. In three dimensions we provide evidence, in the form a simple mean field theory, that our Hamiltonian gives rise to a system which is self-correcting. Such a system will be a natural high-temperature quantum memory, robust to noise without external intervening quantum error correction procedures.

APS Topical Group

The American Physical Society now has a new topical group, Quantum Information, Concepts, and Computation. Here is an article about the topical group. Some quotes

“It is meant to be a broadly inclusive home for researchers whose professional lives may have kicked off in various traditional disciplines, but who nonetheless share an over-arching interest in the foundations and ‘surprising implications’ of quantum mechanics,” said Caltech’s Hideo Mabuchi, GQI’s acting chair.

and

Greenberger also feels the field needs an effective lobbying group to represent its interests to federal funding agencies, most notably the National Science Foundation. “Many young people are becoming interested in the field, but there are few opportunities for having their research funded,” he said.
Part of the problem is that quantum theory suffers from the perception that it is a field for “old men,” since the debate dates back to 1935 and the famous Einstein-Podolsky-Rosen paradox. (That paper is still the most downloaded publication from the APS journal archives, 80 years after it was written.) But Greenberger points out that it is, in fact, a vibrant exciting field at the forefront of physics, using all the latest laboratory techniques, and spinning off the newly emerging fields of quantum cryptography and quantum computing.