A post that never made it to our institute’s blog Quantum Frontiers

Relativistic Quantum Information is a newly established area of physics (check how it’s doing on googletrends). For now it has more questions than answers. The reason people come to the field, the big promised rainbow, is the following:

The entanglement which in “ordinary” quantum information has to be produced in the lab, in relativistic setting one can get for free – from physical vacuum.

This feels a little bit like magic. I wasn’t surprised that on the way to the conference RQI2013 I had to pass platform 9 3/4 from Harry Potter books.

At the place, I met Steve. It is always good to meet Steve. Here is what he said:

-Bose-Einstein Condensates are the best quantum memory up to date. One has to use two component mixtures of bosons, and encode in the zero mode, where N bosons condense (I was looking for a lifetime, and Page 61 here sounds not very promising – 20ms) (blogpost of one of the researchers)

-A state of a moving sample with BEC can be derived from the state in its rest frame, as long as we are moving it slower than the speed of sound. Due to this change in reference frame, one can observe relativistic effects with sound phonons: acceleration produces phonons at Unruh temperature; and a sink produces Hawking radiation. As the speed of sound is much smaller than the speed of light, one can possibly observe quantum entanglement of this radiation.

Let me conclude with another fantasy reference, and a puzzle. Can one perform a unitary on a spin by boosting himself around it with Lorentz transformation, provided that the direction of the boost is chosen using the random 0 or 1 that this spin gave after measurement in x-basis? For instance, one may move along The Pattern.