9 papers
Maximal complementarity in the n-qubit Pauli group
Markus Frembs, Giovanni Natale, Christopher S. P. Wever +1
Observables in quantum mechanics are generally complementary, that is, they reveal mutually incompatible pieces of information about a given system. This property is not only a fun…
An algebraically closed family of informational n-qubit purity invariants
Markus Frembs, Giovanni Natale, Christopher S. P. Wever +1
We present a family of quadratics in Pauli expectation values, and prove that they constitute state-independent invariants for all n-qubit pure states. This family generalises the…
Gauss law codes and vacuum codes from lattice gauge theories
Javier P. Lacambra, Aidan Chatwin-Davies, Masazumi Honda +1
We develop a comprehensive framework for constructing quantum error correcting codes (QECCs) from Abelian lattice gauge theories (LGTs) using quantum reference frames (QRFs) as a u…
Fighting non-locality with non-locality: microcausality and boundary conditions in QED
Philipp A. Hoehn, Josh Kirklin
In gauge theories, globally charged observables necessarily depend non-locally on the kinematical fields, with this dependence extending to the asymptotic boundary of spacetime. De…
A correspondence between quantum error correcting codes and quantum reference frames
Sylvain Carrozza, Aidan Chatwin-Davies, Philipp A. Hoehn +1
In a gauge theory, a collection of kinematical degrees of freedom is used to redundantly describe a smaller amount of gauge-invariant information. In a quantum error correcting cod…
On the relation between perspective-neutral, algebraic, and effective quantum reference frames
Julian De Vuyst, Philipp A. Hoehn, Artur Tsobanjan
The framework of internal quantum reference frames (QRFs) constitutes a universal toolset for dealing with symmetries in quantum theory and has led to new revelations in quantum gr…