322 citations
- Massachusetts Institute of TechnologyUS18 papers
- University of California, DavisUS18 papers
- Argonne National LaboratoryUS17 papers
- Fermi National Accelerator LaboratoryUS17 papers
- Harvard University PressUS17 papers
- National and Kapodistrian University of AthensGR17 papers
- Texas A&M UniversityUS17 papers
- University College LondonGB17 papers
- University of GenevaCH17 papers
- University of OxfordGB17 papers
- University of PittsburghUS17 papers
- University of TsukubaJP17 papers
5 papers · 1 filter
Injectivity of the symmetric map for line bundles
Montserrat Teixidor i Bigas
Let C be a generic non-singular curve of genus g defined over a field of characteristic different from 2. We show that for every line bundle on C of degree at most g+1, the natural…
Rank two vector bundles with canonical determinant
Montserrat Teixidor i Bigas
Denote by B^k_{2,K} the locus of vector bundles of rank two and canonical determinant. We show that for a generic curve of genus g, B^k_{2,K} is non-empty if g is sufficiently larg…
Some Bipartite States do not Arise from Channels
Mary Beth Ruskai
It is well-known that the action of a quantum channel on a state can be represented, using an auxiliary space, as the partial trace of an associated bipartite state. Recently, it w…
Permutationally Invariant Codes for Quantum Error Correction
Harriet Pollatsek, Mary Beth Ruskai
A permutationally invariant n-bit code for quantum error correction can be realized as a subspace stabilized by the non-Abelian group S_n. The code corresponds to bases for the tri…
The Classical Singularity Theorems and their Quantum Loopholes
L. H. Ford
The singularity theorems of classical general relativity are briefly reviewed. The extent to which their conclusions might still apply when quantum theory is taken into account is…