A new class of entanglement measures
Mathematical Physics
2015-06-26 v4 math.MP
Quantum Physics
Abstract
We introduce new entanglement measures on the set of density operators on tensor product Hilbert spaces. These measures are based on the greatest cross norm on the tensor product of the sets of trace class operators on Hilbert space. We show that they satisfy the basic requirements on entanglement measures discussed in the literature, including convexity, invariance under local unitary operations and non-increase under local quantum operations and classical communication.
Keywords
Cite
@article{arxiv.math-ph/0005011,
title = {A new class of entanglement measures},
author = {Oliver Rudolph},
journal= {arXiv preprint arXiv:math-ph/0005011},
year = {2015}
}
Comments
Revised version accepted by J Math Phys, 12 pages, LaTeX, contains Sections 1-5 & 7 of the previous version. The previous Section 6 is now in quant-ph/0105104 and the previous Section 8 is superseded by quant-ph/0105017