Deterministic Gaussian conversion protocols for non-Gaussian single-mode
resources
- URL: http://arxiv.org/abs/2204.03373v1
- Date: Thu, 7 Apr 2022 11:49:54 GMT
- Title: Deterministic Gaussian conversion protocols for non-Gaussian single-mode
resources
- Authors: Oliver Hahn, Patric Holmvall, Pascal Stadler, Giulia Ferrini,
Alessandro Ferraro
- Abstract summary: We show that cat and binomial states are approximately equivalent for finite energy, while this equivalence was previously known only in the infinite-energy limit.
We also consider the generation of cat states from photon-added and photon-subtracted squeezed states, improving over known schemes by introducing additional squeezing operations.
- Score: 58.720142291102135
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In the context of quantum technologies over continuous variables, Gaussian
states and operations are typically regarded as freely available, as they are
relatively easily accessible experimentally. In contrast, the generation of
non-Gaussian states, as well as the implementation of non-Gaussian operations,
pose significant challenges. This divide has motivated the introduction of
resource theories of non-Gaussianity. As for any resource theory, it is of
practical relevance to identify free conversion protocols between resources,
namely Gaussian conversion protocols between non-Gaussian states. Via
systematic numerical investigations, we address the approximate conversion
between experimentally relevant single-mode non-Gaussian states via arbitrary
deterministic one-to-one mode Gaussian maps. First, we show that cat and
binomial states are approximately equivalent for finite energy, while this
equivalence was previously known only in the infinite-energy limit. Then we
consider the generation of cat states from photon-added and photon-subtracted
squeezed states, improving over known schemes by introducing additional
squeezing operations. The numerical tools that we develop also allow to devise
conversions of trisqueezed into cubic-phase states beyond previously reported
performances. Finally, we identify various other conversions which instead are
not viable.
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