Entanglement negativity bounds for fermionic Gaussian states
Eisert J, Eisler V, Zimboras Z (2018)
Publication Type: Journal article
Publication year: 2018
Journal
Book Volume: 97
Article Number: 165123
Journal Issue: 16
DOI: 10.1103/PhysRevB.97.165123
Abstract
The entanglement negativity is a versatile measure of entanglement that has numerous applications in quantum information and in condensed matter theory. It can not only efficiently be computed in the Hilbert space dimension, but for noninteracting bosonic systems, one can compute the negativity efficiently in the number of modes. However, such an efficient computation does not carry over to the fermionic realm, the ultimate reason for this being that the partial transpose of a fermionic Gaussian state is no longer Gaussian. To provide a remedy for this state of affairs, in this work, we introduce efficiently computable and rigorous upper and lower bounds to the negativity, making use of techniques of semidefinite programming, building upon the Lagrangian formulation of fermionic linear optics, and exploiting suitable products of Gaussian operators. We discuss examples in quantum many-body theory and hint at applications in the study of topological properties at finite temperature.
Involved external institutions
Germany (DE)
Austria (AT)How to cite
APA:
Eisert, J., Eisler, V., & Zimboras, Z. (2018). Entanglement negativity bounds for fermionic Gaussian states. Physical Review B, 97(16). https://doi.org/10.1103/PhysRevB.97.165123
MLA:
Eisert, Jens, Viktor Eisler, and Zoltan Zimboras. "Entanglement negativity bounds for fermionic Gaussian states." Physical Review B 97.16 (2018).
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