We analyze the task of encoding classical information into a quantum system under restriction by symmetry. Motivated an analogy between resource theories asymmetry and entanglement, we ask whether analog superdense coding is possible in former. I.e., investigate capacity asymmetric state can be strictly larger than that any symmetric whereas latter positive constant. prove this if only unitary ...

In this paper we study branching laws for certain unitary representations. This is done on the smooth vectors via a version of {\it period integrals}, studied in number theory, and also closely connected to symmetry-breaking operators}, introduced by T.~Kobayashi. We exhibit non-vanishing symmetry breaking operators restriction representation $\Pi$ discrete spectrum real hyperboloids represen...

The 3-d Z(2) lattice gauge-Higgs theory is cast in a partial axial gauge leaving a residual Z(2) symmetry, global in two directions and local in one. It is shown both analytically and numerically that this symmetry breaks spontaneously in the Higgs phase and is unbroken in the confinement phase. Therefore they must be separated everywhere by a phase transition, in contradiction to a theorem by ...

Gauge theories commonly employ complex vector-valued fields to reduce symmetry groups through the Higgs mechanism of spontaneous symmetry breaking. The geometry of the internal space V is tacitly assumed to be the metric geometry of some static, nondynamical hermitian metric k. In this paper, we consider G-principal bundle gauge theories, where G is a subgroup of U(V ,k) (the unitary transforma...

New insight into the correspondence between Quantum Chaos and Random Matrix Theory is gained by developing a semiclassical theory for the autocor-relation function of spectral determinants. We study in particular the unitary operators which are the quantum versions of area preserving maps. The relevant Random Matrix ensembles are the Circular ensembles. The resulting semiclassical expressions d...