608 citations · 619 across the 5 of their papers we have counts for
5 papers
Universal graph representation of stabilizer codes
Andrey Boris Khesin, Jonathan Z. Lu, Peter W. Shor
While stabilizer tableaus have proven useful as a descriptive tool for additive quantum codes, they otherwise offer little guidance for concrete constructions or algorithm analysis…
A New Class of Algorithms for Finding Short Vectors in Lattices Lifted from Co-dimension Codes
Robert Lin, Peter W. Shor
We introduce a new class of algorithms for finding a short vector in lattices defined by codes of co-dimension over , where is prime. The co-dimension c…
General Entanglement Breaking Channels
Michael Horodecki, Peter W. Shor, Mary Beth Ruskai
This paper studies the class of stochastic maps, or channels, whose action (when tensored with the identity) on an entangled state always yields a separable state. Such maps have a…
A Family of Optimal Packings in Grassmannian Manifolds
P. W. Shor, N. J. A. Sloane
A remarkable coincidence has led to the discovery of a family of packings of (m^2+m-2) m/2-dimensional subspaces of m-dimensional space, whenever m is a power of 2. These packings…
Quantum Error Correction via Codes over GF(4)
A. R. Calderbank, E. M Rains, P. W. Shor +1
The problem of finding quantum error-correcting codes is transformed into the problem of finding additive codes over the field GF(4) which are self-orthogonal with respect to a cer…