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Typical Gaussian quantum information




Julkaisun tekijät: Sohr P, Link V, Luoma K, Strunz WT

Kustantaja: IOP PUBLISHING LTD

Julkaisuvuosi: 2019

Journal: Journal of Physics A: Mathematical and Theoretical

Tietokannassa oleva lehden nimi: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Lehden akronyymi: J PHYS A-MATH THEOR

Volyymi: 52

Julkaisunumero: 3

Sivujen määrä: 16

ISSN: 1751-8113

DOI: http://dx.doi.org/10.1088/1751-8121/aaf365


Tiivistelmä
We investigate different geometries and invariant measures on the space of mixed Gaussian quantum states. We show that when the global purity of the state is held fixed, these measures coincide and it is possible, within this constraint, to define a unique notion of volume on the space of mixed Gaussian states. We then use the so defined measure to study typical non-classical correlations of two mode mixed Gaussian quantum states, in particular entanglement and steerability. We show that under the purity constraint alone, typical values for symplectic invariants can be computed very elegantly, irrespectively of the non-compactness of the underlying state space. Then we consider finite volumes by constraining the purity and energy of the Gaussian state and compute typical values of quantum correlations numerically.


Last updated on 2022-04-03 at 12:45