3 papers
quant-ph2019
Higher Rank Matricial Ranges and Hybrid Quantum Error Correction
David W. Kribs, Ningping Cao, Chi-Kwong Li +3
We introduce and initiate the study of a family of higher rank matricial ranges, taking motivation from hybrid classical and quantum error correction coding theory and its operator…
quant-ph2019
Approximate Quasiorthogonality of Operator Algebras and Relative Quantum Privacy
David W. Kribs, Jeremy Levick, Mike Nelson +2
We show that the approximate quasiorthogonality of two operator algebras is equivalent to the algebras being approximately private relative to their conditional expectation quantum…
quant-ph2018
Quantum Complementarity and Operator Structures
D. W. Kribs, J. Levick, M. I. Nelson +2
We establish operator structure identities for quantum channels and their error-correcting and private codes, emphasizing the complementarity relationship between the two perspecti…