Quantum Information Theory with Gaussian Systems

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Quantum Information Theory with Gau
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Vorveröffentlichungen der Disserta
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Contents Quantum Cellular Automata
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List of Figures viii
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List of Theorems x
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Summary mum is reached by a measure
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Summary 4
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1 Introduction electromagnetic fiel
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1 Introduction 8
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2 Basics of Gaussian systems Since
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2 Basics of Gaussian systems Theore
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2 Basics of Gaussian systems For a
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2 Basics of Gaussian systems for co
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2 Basics of Gaussian systems 2.2 Ga
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2 Basics of Gaussian systems As pur
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2 Basics of Gaussian systems unitar
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2 Basics of Gaussian systems In pha
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2 Basics of Gaussian systems Remark
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2 Basics of Gaussian systems 28
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3 Optimal cloners for coherent stat
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3.1 Setup 3.1 Setup A deterministic
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f2(T) 1 0 (a) 1 f1(T) f2(T) 1 0 (
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the expectation value of an arbitra
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3.3 Covariance clone). A more gener
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3.3 Covariance In the case of joint
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3.3 Covariance where the second ide
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3.4 Optimization search to covarian
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3.4 Optimization Hence for the case
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1 2 3 1 2 0 f2 1 2 (a) 2 3 1 f1 0.0
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3.4 Optimization tained without app
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= π R 2 0 dt ǫ + R2 = π log , ǫ
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3.4 Optimization where the bound is
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3.4 Optimization wheren is the matr
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3.4 Optimization Lemma 3.10: The ou
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3.5 Optical implementation The wei
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3.6 Teleportation criteria can be t
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3.6 Teleportation criteria carry th
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Quantum Cellular Automata
Page 80 and 81: 4 Gaussian quantum cellular automat
Page 111 and 112: 5 Gaussian private quantum channels
Page 113 and 114: p Figure 5.1: Illustrating the encr
Page 115 and 116: characteristic function χrand(ξ)
Page 117 and 118: = − 1 2 2Nf i,j=1 where M ′ =
Page 119 and 120: p δ ξk ξ x 5.2 Security estimati
Page 121 and 122: 5.2 Security estimation where in th
Page 123 and 124: 5.3 Result and outlook 5.3 Result a
Page 125: Bibliography
Page 128 and 129: Bibliography [7] M. Reed and B. Sim
Page 132 and 133: Bibliography [69] N. Takei, H. Yone
Page 134 and 135: Bibliography 124
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Quantum Information Theory with Gaussian Systems

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