ENTANGLEMENT OF GAUSSIAN STATES Gerardo Adesso

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[GA1] [GA2] [GA3] [GA4] [GA5] [GA6] [GA7] [GA8] [GA9] [GA10] [GA11] [GA12] [GA13] [GA14] [GA15] [GA16] [GA17] [GA18] [GA19] [GA20] [GA21] [GA22] [GA23]
Life’s Entanglement. CR Studio Inc., 2002. http://www.crstudioinc.com/paint/54.html g o Nonno <strong>Gerardo</strong> who left us and to the tiny new _ ife coming to bring joy into our family
Page 1: ENTANGLEMENT OF GAUSSIAN STATES Ger
Page 7: Abstract This Dissertation collects
Page 10 and 11: x Contents 2.2.2.2. Symplectic repr
Page 12 and 13: xii Contents 7.2.3. Tripartite enta
Page 14 and 15: xiv Contents Chapter 13. Entangleme
Page 17 and 18: Introduction About eighty years aft
Page 19 and 20: Introduction 5 Gaussian states. Imp
Page 21: Introduction 7 The companion Part V
Page 24 and 25: 10 1. Characterizing entanglement a
Page 26 and 27: 12 1. Characterizing entanglement w
Page 28 and 29: 14 1. Characterizing entanglement W
Page 30 and 31: 16 1. Characterizing entanglement F
Page 32 and 33: 18 1. Characterizing entanglement a
Page 34 and 35: 20 1. Characterizing entanglement i
Page 36 and 37: 22 1. Characterizing entanglement e
Page 38 and 39: 24 1. Characterizing entanglement n
Page 40 and 41: 26 1. Characterizing entanglement p
Page 43 and 44: CHAPTER 2 Gaussian states: structur
Page 45 and 46: 2.1. Introduction to continuous var
Page 47 and 48: 2.2. Mathematical description of Ga
Page 49 and 50: 2.2. Mathematical description of Ga
Page 51 and 52: 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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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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Μ Μ1Μ2 3 2 1 1 4.3. Entanglemen
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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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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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Part III Multipartite entanglement
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110 6. Gaussian entanglement sharin
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122 7. Tripartite entanglement in t
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148 8. Unlimited promiscuity of mul
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Part IV Quantum state engineering o
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160 9. Two-mode Gaussian states in
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CHAPTER 10 Tripartite and four-part
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10.1. Optical production of three-m
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(out) (in) TRITTER 10.1. Optical pr
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10.2. How to produce and exploit un
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CHAPTER 11 Efficient production of
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11.2. Generic entanglement and stat
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11.3. Economical state engineering
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Part V Operational interpretation a
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196 12. Multiparty quantum communic
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CHAPTER 13 Entanglement in Gaussian
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13.1. Gaussian valence bond states
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Eq. (13.3) thus takes the form 13.1
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13.2. Entanglement distribution in
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s 20 17.5 15 12.5 10 7.5 5 2.5 13.2
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13.3. Optical implementation of Gau
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of the form Eq. (13.1), with 13.3.
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13.4. Telecloning with Gaussian val
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CHAPTER 14 Gaussian entanglement sh
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14.1. Entanglement in non-inertial
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14.2. Distributed Gaussian entangle
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6 s 4 14.2. Distributed Gaussian en
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2.5 0 0 5 10 IΣAR7.5 0 14.3. Distr
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0 entanglement condition 14.3. Dist
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4 3 a 2 1 14.4. Discussion and outl
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Part VI Closing remarks Entanglemen
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262 Conclusion and Outlook Gaussian
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264 Conclusion and Outlook compass
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266 A. Standard forms of pure Gauss
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272 List of Publications [GA11] G.
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274 Bibliography [23] C. H. Bennett
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276 Bibliography [79] J. Eisert, C.
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278 Bibliography [140] J. Laurat, T
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280 Bibliography [198] T. Roscilde,
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282 Bibliography [258] J. Von Neuma
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ENTANGLEMENT OF GAUSSIAN STATES Gerardo Adesso

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