65 citations · 98 across the 5 of their papers we have counts for
5 papers · 1 filter
Efficient 2-designs from bases exist
Gary McConnell, David Gross
We show that in a complex d-dimensional vector space, one can find O(d) bases whose elements form a 2-design. Such vector sets generalize the notion of a maximal collection of mutu…
Quantum Margulis expanders
D. Gross, J. Eisert
We present a simple way to quantize the well-known Margulis expander map. The result is a quantum expander which acts on discrete Wigner functions in the same way the classical Mar…
The LU-LC conjecture, diagonal local operations and quadratic forms over GF(2)
D. Gross, M. Van den Nest
We report progress on the LU-LC conjecture - an open problem in the context of entanglement in stabilizer states (or graph states). This conjecture states that every two stabilizer…
Non-negative Wigner functions in prime dimensions
David Gross
According to a classical result due to Hudson, the Wigner function of a pure, continuous variable quantum state is non-negative if and only if the state is Gaussian. We have proven…
Canonical and micro-canonical typical entanglement of continuous variable systems
A. Serafini, O. C. O. Dahlsten, D. Gross +1
We present a framework, compliant with the general canonical principle of statistical mechanics, to define measures on the set of pure Gaussian states of continuous variable system…