About: Verification of state and entanglement with incomplete tomography     Goto   Sponge   NotDistinct   Permalink

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  • There exists, in general, a convex set of quantum state estimators that maximize the likelihood for informationally incomplete data. We propose an estimation scheme, catered to measurement data of this kind, to search for the exact maximum-likelihood-maximum-entropy estimator using semidefinite programming and a standard multi-dimensional function optimization routine. This scheme can be used to infer the expectation values of a set of entanglement witnesses that can be used to verify the entanglement of the unknown quantum state for composite systems. Next, we establish an alternative numerical scheme that is more computationally robust for the sole purpose of maximizing the likelihood and entropy
  • There exists, in general, a convex set of quantum state estimators that maximize the likelihood for informationally incomplete data. We propose an estimation scheme, catered to measurement data of this kind, to search for the exact maximum-likelihood-maximum-entropy estimator using semidefinite programming and a standard multi-dimensional function optimization routine. This scheme can be used to infer the expectation values of a set of entanglement witnesses that can be used to verify the entanglement of the unknown quantum state for composite systems. Next, we establish an alternative numerical scheme that is more computationally robust for the sole purpose of maximizing the likelihood and entropy (en)
Title
  • Verification of state and entanglement with incomplete tomography
  • Verification of state and entanglement with incomplete tomography (en)
skos:prefLabel
  • Verification of state and entanglement with incomplete tomography
  • Verification of state and entanglement with incomplete tomography (en)
skos:notation
  • RIV/61989592:15310/12:33141107!RIV13-TA0-15310___
http://linked.open...avai/riv/aktivita
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  • P(FR-TI1/364), P(TE01020229)
http://linked.open...iv/cisloPeriodika
  • 10
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  • 177285
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  • RIV/61989592:15310/12:33141107
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  • INFORMATION THEORY; STATISTICAL MECHANICS (en)
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http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [F8A6EC6DD165]
http://linked.open...i/riv/nazevZdroje
  • New Journal of Physics
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  • 14
http://linked.open...iv/tvurceVysledku
  • Englert, Berthold-Georg
  • Hradil, Zdeněk
  • Teo, Yong Siah
  • Řeháček, Jaroslav
  • Mogilevtsev, Dmitry
http://linked.open...ain/vavai/riv/wos
  • 000310440900004
issn
  • 1367-2630
number of pages
http://bibframe.org/vocab/doi
  • 10.1088/1367-2630/14/10/105020
http://localhost/t...ganizacniJednotka
  • 15310
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