dorsal/arxiv
View SchemaEntanglement quantification with Fisher information
| Authors | Akira kitagawa, Masahiro Takeoka, Masahide Sasaki, Anthony Chefles |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612099 |
| URL | https://arxiv.org/abs/quant-ph/0612099 |
Abstract
We show that the Fisher information associated with entanglement-assisted coding has a monotonic relationship with the logarithmic negativity, an important entanglement measure, for certain classes of continuous variable (CV) quantum states of practical significance. These are the two-mode squeezed states and the non-Gaussian states obtained from them by photon subtraction. This monotonic correspondence can be expressed analytically in the case of pure states. Numerical analysis shows that this relationship holds to a very good approximation even in the mixed state case of the photon-subtracted squeezed states. The Fisher information is evaluated by the CV Bell measurement in the limit of weak signal modulation. Our results suggest that the logarithmic negativity of certain sets of non-Gaussian mixed states can be experimentally accessed without homodyne tomography, leading to significant simplification of the experimental procedure.
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"abstract": "We show that the Fisher information associated with entanglement-assisted\ncoding has a monotonic relationship with the logarithmic negativity, an\nimportant entanglement measure, for certain classes of continuous variable (CV)\nquantum states of practical significance. These are the two-mode squeezed\nstates and the non-Gaussian states obtained from them by photon subtraction.\nThis monotonic correspondence can be expressed analytically in the case of pure\nstates. Numerical analysis shows that this relationship holds to a very good\napproximation even in the mixed state case of the photon-subtracted squeezed\nstates. The Fisher information is evaluated by the CV Bell measurement in the\nlimit of weak signal modulation. Our results suggest that the logarithmic\nnegativity of certain sets of non-Gaussian mixed states can be experimentally\naccessed without homodyne tomography, leading to significant simplification of\nthe experimental procedure.",
"arxiv_id": "quant-ph/0612099",
"authors": [
"Akira kitagawa",
"Masahiro Takeoka",
"Masahide Sasaki",
"Anthony Chefles"
],
"categories": [
"quant-ph"
],
"title": "Entanglement quantification with Fisher information",
"url": "https://arxiv.org/abs/quant-ph/0612099"
},
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