General measure for macroscopic quantum states beyond "dead and alive"

We consider the characterization of quantum superposition states beyond the pattern "dead and alive". We propose a measure that is applicable to superpositions of multiple macroscopically distinct states, superpositions with different weights as well as mixed states. The measure is based o...

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Main Authors: Sekatski, P, Yadin, B, Renou, M, Dür, W, Gisin, N, Fröwis, F
Format: Journal article
Published: Institute of Physics 2017
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author Sekatski, P
Yadin, B
Renou, M
Dür, W
Gisin, N
Fröwis, F
author_facet Sekatski, P
Yadin, B
Renou, M
Dür, W
Gisin, N
Fröwis, F
author_sort Sekatski, P
collection OXFORD
description We consider the characterization of quantum superposition states beyond the pattern "dead and alive". We propose a measure that is applicable to superpositions of multiple macroscopically distinct states, superpositions with different weights as well as mixed states. The measure is based on the mutual information to characterize the distinguishability between the multiple branches of the superposition. This allows us to overcome limitations of previous proposals, and to bridge the gap between general measures for macroscopic quantumness and measures for Schrödinger-cat type superpositions. We discuss a number of relevant examples, provide an alternative definition using basis-dependent quantum discord and reveal connections to other proposals in the literature. Finally, we also show the connection between the size of quantum states as quantified by our measure and their vulnerability to noise.
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spelling oxford-uuid:9e64d72b-db0f-42c7-a037-f1973843d7772022-03-27T00:49:49ZGeneral measure for macroscopic quantum states beyond "dead and alive"Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9e64d72b-db0f-42c7-a037-f1973843d777Symplectic Elements at OxfordInstitute of Physics2017Sekatski, PYadin, BRenou, MDür, WGisin, NFröwis, FWe consider the characterization of quantum superposition states beyond the pattern "dead and alive". We propose a measure that is applicable to superpositions of multiple macroscopically distinct states, superpositions with different weights as well as mixed states. The measure is based on the mutual information to characterize the distinguishability between the multiple branches of the superposition. This allows us to overcome limitations of previous proposals, and to bridge the gap between general measures for macroscopic quantumness and measures for Schrödinger-cat type superpositions. We discuss a number of relevant examples, provide an alternative definition using basis-dependent quantum discord and reveal connections to other proposals in the literature. Finally, we also show the connection between the size of quantum states as quantified by our measure and their vulnerability to noise.
spellingShingle Sekatski, P
Yadin, B
Renou, M
Dür, W
Gisin, N
Fröwis, F
General measure for macroscopic quantum states beyond "dead and alive"
title General measure for macroscopic quantum states beyond "dead and alive"
title_full General measure for macroscopic quantum states beyond "dead and alive"
title_fullStr General measure for macroscopic quantum states beyond "dead and alive"
title_full_unstemmed General measure for macroscopic quantum states beyond "dead and alive"
title_short General measure for macroscopic quantum states beyond "dead and alive"
title_sort general measure for macroscopic quantum states beyond dead and alive
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