https://doi.org/10.1140/epjd/e2020-10302-6
Regular Article
Gaussian states that are invariant under partial anti-symplectic transformation are separable
1
School of Automation, Central South University, Changsha 410083, P.R. China
2
Peng Cheng Laboratory, Shenzhen 518000, P.R. China
a e-mail: shanma.adfa@gmail.com
Received:
28
May
2020
Received in final form:
19
July
2020
Published online:
20
August
2020
It has been shown recently that Gaussian states that are invariant under partial transposition are separable states. In this paper, we define the class of anti-symplectic transformations and show that the transposition operation is a special case of the anti-symplectic transformation. As an extension of the existing result, we prove that Gaussian states that are invariant under partial anti-symplectic transformation are guaranteed to be separable.
Key words: Quantum Information
© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020
