6 papers · 1 filter
Graph Structures for Local Distinguishability of Quantum Product States
Sooyeong Kim, David W. Kribs, Michael Nathanson +2
We consider the problem of distinguishing sets of quantum product states with local operations and classical communication (LOCC). Recent work has used graph theory to identify set…
Compressed Quantum Operators and Roots of Hermite Polynomials
Serge Adonsou, Guillaume Dauphinais, David W. Kribs +1
The fundamental position and momentum operators of quantum mechanics are unbounded, but finite rank compressions of the operators can be considered to obtain partial information on…
Hybrid Clifford Codes via Operator Algebra Quantum Error Correction and Projective Representation Theory
Jonas Eidesen, David W. Kribs, Andrew Nemec
Clifford codes are a natural generalization of quantum stabilizer codes based primarily on representation theory. This class of codes has previously been extended to the setting of…
Structure Theorem for Quantum Replacer Codes
Eric Chitambar, Sarah Hagen, David W. Kribs +2
Quantum replacer codes are codes that can be protected from errors induced by a given set of quantum replacer channels, an important class of quantum channels that includes the era…
Generalized Knill-Laflamme Theorem for Families of Isoclinic Subspaces
David W. Kribs, Rajesh Pereira, Mukesh Taank
Isoclinic subspaces have been studied for over a century. Quantum error correcting codes were recently shown to define a subclass of families of isoclinic subspaces. The Knill-Lafl…
Unified and Generalized Approach to Entanglement-Assisted Quantum Error Correction
Priya J. Nadkarni, Serge Adonsou, Guillaume Dauphinais +2
We introduce a framework for entanglement-assisted quantum error correcting codes that unifies the three original frameworks for such codes called EAQEC, EAOQEC, and EACQ under a s…