3
The classical entropy of quantum states
http://sms.cam.ac.uk/media/1577059
Solovej, JP (University of Copenhagen)
Monday 14 October 2013, 11:3012:30
40
The classical entropy of quantum states
http://sms.cam.ac.uk/media/1577059
http://rss.sms.cam.ac.uk/itunesimage/1543828.jpg
no

The classical entropy of quantum states
ucs_sms_1543827_1577059
http://sms.cam.ac.uk/media/1577059
The classical entropy of quantum states
Solovej, JP (University of Copenhagen)
Monday 14 October 2013, 11:3012:30
Tue, 15 Oct 2013 12:07:43 +0100
Isaac Newton Institute
Solovej, JP
3c5689a120b2e2e40391fc7706efc439
4796f29b91625e04d654874903e583d0
754e848772bb3214fe54270aebb47402
2453452b89ef59c45d76b5444501f3b2
Solovej, JP (University of Copenhagen)
Monday 14 October 2013, 11:3012:30
Solovej, JP (University of Copenhagen)
Monday 14 October 2013, 11:3012:30
Cambridge University
3275
http://sms.cam.ac.uk/media/1577059
The classical entropy of quantum states
Solovej, JP (University of Copenhagen)
Monday 14 October 2013, 11:3012:30
Coauthor: Elliott Lieb (Princeton University)
To quantify the inherent uncertainty of quantum states Wehrl ('79) suggested a definition of their classical entropy based on the coherent state transform. He conjectured that this classical entropy is minimized by states that also minimize the Heisenberg uncertainty inequality, i.e., Gaussian coherent states. Lieb ('78) proved this conjecture and conjectured that the same holds when Euclidean Glauber coherent states are replaced by SU(2) Bloch coherent states. This generalized Wehrl conjecture has been open for almost 35 years until it was settled last year in joint work with Elliott Lieb. Recently we simplified the proof and generalized it to SU(N) for general N. I will present this here.
20131015T12:08:16+01:00
3275
1577059
true
16x9
false
no