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ENTANGLEMENT OF GAUSSIAN STATES Ger
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Life’s Entanglement. CR Studio In
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Abstract This Dissertation collects
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x Contents 2.2.2.2. Symplectic repr
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xii Contents 7.2.3. Tripartite enta
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xiv Contents Chapter 13. Entangleme
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Introduction About eighty years aft
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Introduction 5 Gaussian states. Imp
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Introduction 7 The companion Part V
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10 1. Characterizing entanglement a
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12 1. Characterizing entanglement w
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14 1. Characterizing entanglement W
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16 1. Characterizing entanglement F
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18 1. Characterizing entanglement a
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20 1. Characterizing entanglement i
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22 1. Characterizing entanglement e
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24 1. Characterizing entanglement n
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26 1. Characterizing entanglement p
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CHAPTER 2 Gaussian states: structur
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2.1. Introduction to continuous var
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2.2. Mathematical description of Ga
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2.2. Mathematical description of Ga
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2.3. Degree of information encoded
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2.3. Degree of information encoded
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2.4. Standard forms of Gaussian cov
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2.4. Standard forms of Gaussian cov
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2.4. Standard forms of Gaussian cov
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2.4. Standard forms of Gaussian cov
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Part II Bipartite entanglement of G
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52 3. Characterizing entanglement o
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54 3. Characterizing entanglement o
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CHAPTER 4 Two-mode entanglement Thi
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4.2. Entanglement and symplectic ei
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4.3. Entanglement versus Entropic m
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1 0.75 0.5 SL1 0.25 0 (a) 4.3. Enta
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4.3. Entanglement versus Entropic m
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Μ Μ1Μ2 3 2 1 1 4.3. Entanglemen
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4.3. Entanglement versus Entropic m
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4.3. Entanglement versus Entropic m
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global generalized entropy S3 globa
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4.4. Quantifying entanglement via p
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4.4. Quantifying entanglement via p
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4.5. Gaussian entanglement measures
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4.5. Gaussian entanglement measures
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4.5. Gaussian entanglement measures
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4.5. Gaussian entanglement measures
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Ν p Σopt 1 0.8 0.6 0.4 0.2 0 4.5
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GEF GEF 4 3 2 1 0 4.6. Summary and
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4.6. Summary and further remarks 91
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94 5. Multimode entanglement under
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96 5. Multimode entanglement under
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98 5. Multimode entanglement under
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100 5. Multimode entanglement under
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102 5. Multimode entanglement under
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104 5. Multimode entanglement under
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12.2. Equivalence between entanglem
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12.2. Equivalence between entanglem
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12.3. 1 ➝ 2 telecloning with bisy
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12.3. 1 ➝ 2 telecloning with bisy
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12.3. 1 ➝ 2 telecloning with bisy
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12.3. 1 ➝ 2 telecloning with bisy
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220 13. Entanglement in Gaussian va
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222 13. Entanglement in Gaussian va
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224 13. Entanglement in Gaussian va
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226 13. Entanglement in Gaussian va
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228 13. Entanglement in Gaussian va
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230 13. Entanglement in Gaussian va
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232 13. Entanglement in Gaussian va
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234 13. Entanglement in Gaussian va
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236 14. Gaussian entanglement shari
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238 14. Gaussian entanglement shari
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240 14. Gaussian entanglement shari
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242 14. Gaussian entanglement shari
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244 14. Gaussian entanglement shari
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246 14. Gaussian entanglement shari
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248 14. Gaussian entanglement shari
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250 14. Gaussian entanglement shari
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252 14. Gaussian entanglement shari
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254 14. Gaussian entanglement shari
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256 14. Gaussian entanglement shari
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258 14. Gaussian entanglement shari
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Entanglement of Gaussian states: wh
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Conclusion and Outlook 263 increase
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APPENDIX A Standard forms of pure G
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A.2. Degrees of freedom of pure Gau
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A.2. Degrees of freedom of pure Gau
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List of Publications [GA1] G. Adess
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Bibliography [1] Open Problems in Q
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Bibliography 275 [53] X.-Y. Chen, P
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Bibliography 277 [110] P. M. Hayden
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Bibliography 279 [169] T. J. Osborn
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Bibliography 281 [225] N. Takei, T.