Reference frames, superselection rules, and quantum information

SD Bartlett, T Rudolph, RW Spekkens - Reviews of Modern Physics, 2007 - APS
Recently, there has been much interest in a new kind of “unspeakable” quantum information
that stands to regular quantum information in the same way that a direction in space or a …

Anyons in an exactly solved model and beyond

A Kitaev - Annals of Physics, 2006 - Elsevier
A spin-1/2 system on a honeycomb lattice is studied. The interactions between nearest
neighbors are of XX, YY or ZZ type, depending on the direction of the link; different types of …

Nets of subfactors

R Longo, KH Rehren - Reviews in Mathematical Physics, 1995 - World Scientific
A subtheory of a quantum field theory specifies von Neumann subalgebras (the
'observables' in the space-time region) of the von Neumann algebras (the'field'localized in) …

[BOOK][B] Compact quantum groups and their representation categories

S Neshveyev, L Tuset - 2013 - Citeseer
Coassociativity of∆ follows from associativity of the product in G. To see that the cancellation
property holds, note that (A⊗ 1)∆(A) is the unital∗-subalgebra of C (G× G) spanned by all …

A new duality theory for compact groups

S Doplicher, JE Roberts - Inventiones mathematicae, 1989 - Springer
Summary The Tannaka-Krein duality theory characterizes the category ℋ (G) of finite-
dimensional, continuous, unitary representations of a compact group as a subcategory of the …

Generalized symmetries and Noether's theorem in QFT

V Benedetti, H Casini, JM Magán - Journal of High Energy Physics, 2022 - Springer
A bstract We show that generalized symmetries cannot be charged under a continuous
global symmetry having a Noether current. Further, only non-compact generalized …

Algebraic quantum field theory

H Halvorson, M Müger - arxiv preprint math-ph/0602036, 2006 - arxiv.org
Algebraic quantum field theory provides a general, mathematically precise description of the
structure of quantum field theories, and then draws out consequences of this structure by …

Between classical and quantum

NP Landsman - Handbook of the Philosophy of Science, 2006 - books.google.com
Most modern physicists and philosophers would agree that a decent interpretation of
quantum mechanics should fullfil at least two criteria. Firstly, it has to elucidate the physical …

On revolutionizing quantum field theory with Tomita's modular theory

HJ Borchers - Journal of mathematical Physics, 2000 - pubs.aip.org
In the book of Haag [Local Quantum Physics (Springer Verlag, Berlin, 1992)] about local
quantum field theory the main results are obtained by the older methods of C*-and W …

[BOOK][B] An introduction to non-perturbative foundations of quantum field theory

F Strocchi - 2013 - books.google.com
Quantum Field Theory (QFT) has proved to be the most useful strategy for the description of
elementary particle interactions and as such is regarded as a fundamental part of modern …