Photo from wikipedia
Abstract We present new proof of non-bijective Wigner theorem on symmetries of quantum systems using only basic linear algebra. It is based on showing that any non-zero Jordan ∗-homomorphism between… Click to show full abstract
Abstract We present new proof of non-bijective Wigner theorem on symmetries of quantum systems using only basic linear algebra. It is based on showing that any non-zero Jordan ∗-homomorphism between matrix algebras preserving rank-one projections is implemented by either a unitary or an anitiunitary map. As a new application we extend hitherto known results on preservers of quantum relative entropy to infinite quantum systems.
Keywords:
proof;
wigner theorem;
linear algebraic;
algebraic proof
Journal Title: Mathematica Slovaca
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Mathematica Slovaca
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!