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Typical Gaussian quantum information




TekijätSohr P, Link V, Luoma K, Strunz WT

KustantajaIOP PUBLISHING LTD

Julkaisuvuosi2019

JournalJournal of Physics A: Mathematical and Theoretical

Tietokannassa oleva lehden nimiJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Lehden akronyymiJ PHYS A-MATH THEOR

Artikkelin numeroARTN 035301

Vuosikerta52

Numero3

Sivujen määrä16

ISSN1751-8113

DOIhttps://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.



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