Maximum entanglement of formation for a two-mode Gaussian state over passive operations

We quantify the maximum amount of entanglement of formation (EoF) that can be achieved by continuous-variable states under passive operations, which we refer to as the EoF potential. Focusing, in particular, on two-mode Gaussian states we derive analytical expressions for the EoF potential for speci...

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Main Authors: Tserkis, Spyros, Thompson, Jayne, Lund, Austin P., Ralph, Timothy C., Lam, Ping Koy, Gu, Mile, Assad, Syed Muhamad
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2020
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Online Access:https://hdl.handle.net/10356/145496
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1454962023-02-28T19:30:24Z Maximum entanglement of formation for a two-mode Gaussian state over passive operations Tserkis, Spyros Thompson, Jayne Lund, Austin P. Ralph, Timothy C. Lam, Ping Koy Gu, Mile Assad, Syed Muhamad School of Physical and Mathematical Sciences Nanyang Quantum Hub Complexity Institute Science::Physics Entanglement of Formation Two-mode We quantify the maximum amount of entanglement of formation (EoF) that can be achieved by continuous-variable states under passive operations, which we refer to as the EoF potential. Focusing, in particular, on two-mode Gaussian states we derive analytical expressions for the EoF potential for specific classes of states. For more general states, we demonstrate that this quantity can be upper bounded by the minimum amount of squeezing needed to synthesize the Gaussian modes, a quantity called squeezing of formation. Our work, thus, provides a link between nonclassicality of quantum states and the nonclassicality of correlations. Ministry of Education (MOE) National Research Foundation (NRF) Published version We thank H. Jeng for useful discussion. This work is supported by the Australian Research Council (ARC) under the Centre of Excellence for Quantum Computation and Communication Technology (Grant No. CE170100012), the Singapore Ministry of Education Tier 1 Grant No.2019-T1-002-015 (RG162/19), Singapore National Research Foundation Fellowship Grant No. NRF-NRFF2016-02, and the NRF-ANR Grant No. NRF2017-NRF-ANR004 VanQuTe. 2020-12-23T02:06:08Z 2020-12-23T02:06:08Z 2020 Journal Article Tserkis, S., Thompson, J., Lund, A. P., Ralph, T. C., Lam, P. K., Gu, M., & Assad, S. M. (2020). Maximum entanglement of formation for a two-mode Gaussian state over passive operations. Physical Review A, 102(5), 052418-. doi:10.1103/PhysRevA.102.052418 2469-9926 https://hdl.handle.net/10356/145496 10.1103/PhysRevA.102.052418 5 102 en 2019-T1-002-015 (RG162/19) NRF-NRFF2016-02 NRF2017-NRF-ANR004 Physical Review A © 2020 American Physical Society. All rights reserved. This paper was published in Physical Review A and is made available with permission of American Physical Society. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Physics
Entanglement of Formation
Two-mode
spellingShingle Science::Physics
Entanglement of Formation
Two-mode
Tserkis, Spyros
Thompson, Jayne
Lund, Austin P.
Ralph, Timothy C.
Lam, Ping Koy
Gu, Mile
Assad, Syed Muhamad
Maximum entanglement of formation for a two-mode Gaussian state over passive operations
description We quantify the maximum amount of entanglement of formation (EoF) that can be achieved by continuous-variable states under passive operations, which we refer to as the EoF potential. Focusing, in particular, on two-mode Gaussian states we derive analytical expressions for the EoF potential for specific classes of states. For more general states, we demonstrate that this quantity can be upper bounded by the minimum amount of squeezing needed to synthesize the Gaussian modes, a quantity called squeezing of formation. Our work, thus, provides a link between nonclassicality of quantum states and the nonclassicality of correlations.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Tserkis, Spyros
Thompson, Jayne
Lund, Austin P.
Ralph, Timothy C.
Lam, Ping Koy
Gu, Mile
Assad, Syed Muhamad
format Article
author Tserkis, Spyros
Thompson, Jayne
Lund, Austin P.
Ralph, Timothy C.
Lam, Ping Koy
Gu, Mile
Assad, Syed Muhamad
author_sort Tserkis, Spyros
title Maximum entanglement of formation for a two-mode Gaussian state over passive operations
title_short Maximum entanglement of formation for a two-mode Gaussian state over passive operations
title_full Maximum entanglement of formation for a two-mode Gaussian state over passive operations
title_fullStr Maximum entanglement of formation for a two-mode Gaussian state over passive operations
title_full_unstemmed Maximum entanglement of formation for a two-mode Gaussian state over passive operations
title_sort maximum entanglement of formation for a two-mode gaussian state over passive operations
publishDate 2020
url https://hdl.handle.net/10356/145496
_version_ 1759853663044501504