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20032005
most citedIsometric dilations of non-commuting finite rank -tuples

12 citations · 35 across the 11 of their papers we have counts for

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17 papers · 1 filter

math.OA2005

A brief introduction to operator quantum error correction

David W. Kribs

We give a short introduction to operator quantum error correction. This is a new protocol for error correction in quantum computing that has brought the fundamental methods under a…

math.OA20054 cited

A unified framework for graph algebras and quantum causal histories

David W. Kribs

We present a mathematical framework that unifies the quantum causal history formalism from theoretical high energy physics and the directed graph operator framework from the theory…

math.OA200412 cited

Isometric dilations of non-commuting finite rank -tuples

Kenneth R. Davidson, David W. Kribs, Miron E. Shpigel

A contractive -tuple has a minimal joint isometric dilation where the 's are isometries with pairwise orthogonal ranges. This determines…

math.OA200411 cited

Inductive limit algebras from periodic weighted shifts on Fock space

David W. Kribs

Non-commutative multivariable versions of weighted shift operators arise naturally as `weighted' left creation operators acting on the Fock space Hilbert space. We identify a natur…

math.OA20041 cited

The C*-envelope of the tensor algebra of a directed graph

Elias Katsoulis, David Kribs

Given an arbitrary countable directed graph we prove the C*-envelope of the tensor algebra coincides with the universal Cuntz-Krieger algebra associated with . Our…

math.OA20042 cited

The algebras of higher rank graphs

David W. Kribs, Stephen C. Power

We begin the study of a new class of operator algebras that arise from higher rank graphs. Every higher rank graph generates a Fock space Hilbert space and creation operators which…