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xi | |
Preface |
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xiii | |
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Chapter 1 Basics of quantum communication |
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1 | (36) |
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2 | (3) |
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5 | (1) |
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6 | (1) |
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1.4 Quantum bits (qubits) |
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7 | (1) |
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8 | (1) |
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1.6 Quantum entanglement and nonlocality |
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9 | (2) |
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1.7 Measurement, decoherence, and irreversibility |
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11 | (2) |
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13 | (1) |
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1.9 Quantum communication with single photons |
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14 | (5) |
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1.9.1 Polarization encoding |
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15 | (1) |
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1.9.2 Orbital angular momentum (OAM) encoding |
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15 | (1) |
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16 | (1) |
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17 | (2) |
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1.9.5 Frequency-bin encoding |
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19 | (1) |
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1.10 Protocols of quantum communications |
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19 | (8) |
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1.10.1 Quantum key distribution (QKD) protocols |
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20 | (2) |
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1.10.2 Quantum teleportation protocol |
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22 | (4) |
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1.10.3 Superdense coding protocol |
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26 | (1) |
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1.11 Ranges of quantum communication |
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27 | (4) |
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1.11.1 Long distance quantum communication |
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27 | (3) |
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1.11.2 Short distance quantum communications |
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30 | (1) |
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31 | (6) |
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32 | (1) |
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32 | (5) |
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Chapter 2 Structured light |
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37 | (40) |
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38 | (2) |
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2.2 Optical angular momentum |
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40 | (1) |
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2.3 Helmholtz equation and paraxial regime |
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40 | (2) |
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2.3.1 Linearly polarized `unstructured' light |
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40 | (1) |
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2.3.2 Elliptically polarized |
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41 | (1) |
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42 | (4) |
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2.4.1 Phase-structured light |
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43 | (1) |
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2.4.2 Laguerre-Gaussian (LG) light beams |
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44 | (2) |
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2.5 Bessel and Bessel-Gaussian vortex beams |
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46 | (1) |
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2.5.1 Bessel vortex beams |
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46 | (1) |
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2.5.2 Bessel-Gaussian vortex beams |
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47 | (1) |
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2.6 Non-paraxial LG beams |
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47 | (4) |
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2.6.1 Extracting the paraxial regime |
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49 | (2) |
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2.7 Paraxial beams with small waists |
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51 | (1) |
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2.8 Chirality and helicity |
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52 | (5) |
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2.8.1 Cycle-averaged fields |
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52 | (3) |
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2.8.2 Effects of the Gouy and curvature phases |
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55 | (2) |
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2.9 Multiple vortex beams |
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57 | (4) |
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2.9.1 Linearly polarized LG beams |
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57 | (1) |
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58 | (3) |
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2.10 No axial shift---polarization gradients |
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61 | (10) |
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2.10.1 Co-propagating LG beams |
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62 | (3) |
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2.10.2 Counter-propagating beams |
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65 | (2) |
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2.10.3 Bi-chromatic vortex beams |
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67 | (4) |
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2.11 Quantization of optical angular momentum |
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71 | (2) |
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72 | (1) |
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2.11.2 Orbital angular momentum |
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73 | (1) |
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73 | (4) |
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75 | (2) |
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Chapter 3 Quantum features of structured light |
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77 | (18) |
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77 | (2) |
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3.2 Basis for the quantization of structured light |
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79 | (4) |
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3.3 Quantum issues in measurement and localization |
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83 | (3) |
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3.4 Quantized angular momentum: light and matter |
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86 | (2) |
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88 | (1) |
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89 | (6) |
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90 | (5) |
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Chapter 4 Poincare beams for optical communications |
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95 | (12) |
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95 | (1) |
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4.2 Vortex Poincare Gaussian beams |
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96 | (4) |
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4.3 Poincare-Bessel beams |
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100 | (2) |
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4.4 Asymmetric and monstar patterns |
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102 | (2) |
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104 | (1) |
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104 | (3) |
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104 | (1) |
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105 | (2) |
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Chapter 5 Operators in paraxial quantum optics |
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107 | (32) |
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107 | (2) |
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5.2 Quantization and conserved quantities of Maxwell field |
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109 | (5) |
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5.2.1 Discretized plane-wave modes |
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109 | (1) |
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5.2.2 Continuum of plane-wave modes |
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110 | (1) |
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5.2.3 Operators for conserved quantities of radiation field |
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111 | (3) |
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5.3 Paraxial quantum fields |
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114 | (5) |
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5.3.1 Change of variables |
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114 | (1) |
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5.3.2 Paraxial wave equation |
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114 | (1) |
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5.3.3 Paraxial limit of quantum field |
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115 | (1) |
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5.3.4 Discrete transverse modes |
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116 | (2) |
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5.3.5 Algebra of continuum of bosonic operators |
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118 | (1) |
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5.4 Paraxial modes and harmonic oscillators |
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119 | (3) |
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5.4.1 Hermite--Gauss modes |
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120 | (1) |
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5.4.2 Correspondence between paraxial modes and harmonic-oscillator states |
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121 | (1) |
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5.4.3 Laguerre--Gauss modes |
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122 | (1) |
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5.5 Paraxial energy, momentum and angular momentum |
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122 | (2) |
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5.6 Operator description of Gaussian paraxial modes |
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124 | (6) |
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5.6.1 Operator description of Hermite--Gauss modes |
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124 | (2) |
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5.6.2 Operator description of Laguerre--Gauss modes |
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126 | (2) |
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5.6.3 Elliptical Gaussian modes |
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128 | (2) |
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5.7 Schwinger representation of Laguerre--Gauss modes |
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130 | (4) |
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5.7.1 The Lie algebra su(2) |
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130 | (2) |
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5.7.2 The tie algebra su(1, 1) |
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132 | (2) |
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134 | (5) |
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136 | (3) |
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Chapter 6 Quantum cryptography with structured photons |
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139 | (38) |
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139 | (4) |
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6.2 Generation and detection |
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143 | (6) |
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143 | (2) |
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145 | (2) |
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6.2.3 Pancharatnam-Berry optical elements |
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147 | (2) |
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6.3 High-dimensional quantum information |
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149 | (10) |
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6.3.1 Optimal quantum cloning |
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149 | (3) |
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152 | (3) |
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6.3.3 Quantum process tomography |
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155 | (4) |
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6.4 Quantum key distribution implementations |
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159 | (14) |
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159 | (3) |
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162 | (5) |
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167 | (6) |
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173 | (4) |
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173 | (1) |
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173 | (4) |
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Chapter 7 Spin and orbital angular momentum coupling |
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177 | (28) |
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177 | (4) |
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7.2 Paraxial spin-orbit coupling: q-plates, meta-surfaces and similar devices |
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181 | (6) |
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7.3 Non-paraxial spin-orbit coupling: spin Hall effect of light and optical fibers |
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187 | (6) |
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7.4 Applications to optical communication |
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193 | (7) |
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200 | (5) |
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200 | (5) |
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Chapter 8 Quantum communication with structured photons |
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205 | (32) |
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206 | (2) |
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208 | (7) |
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8.2.1 Information capacity, dense coding and noise resistance |
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208 | (1) |
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8.2.2 Quantum key distribution |
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209 | (1) |
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8.2.3 Quantum coin tossing |
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210 | (1) |
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8.2.4 Quantum secret sharing |
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211 | (1) |
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8.2.5 Layered quantum key distribution |
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212 | (3) |
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215 | (4) |
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8.3.1 Generation and detection methods |
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215 | (2) |
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217 | (2) |
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219 | (14) |
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8.4.1 Entanglement sources |
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219 | (4) |
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223 | (5) |
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228 | (3) |
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231 | (1) |
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231 | (2) |
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233 | (4) |
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233 | (1) |
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233 | (4) |
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Chapter 9 Optical angular momentum interaction with turbulent and scattering media |
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237 | (22) |
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9.1 Atmospheric turbulence variations in real environments |
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238 | (3) |
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9.2 Turbulence-induced phase variations |
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241 | (3) |
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9.3 Turbulence's effect on structured beams |
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244 | (2) |
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9.4 Degradation of beams that carry OAM |
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246 | (8) |
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9.5 Scattering dynamics of beams that carry OAM |
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254 | (3) |
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257 | (2) |
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257 | (2) |
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Chapter 10 Causes and mitigation of modal crosstalk in OAM multiplexed optical communication links |
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259 | (32) |
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Runzhou Zhang Kai Pang Huibin Zhou |
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10.1 Introduction and overview |
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260 | (3) |
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10.2 Causes for channel crosstalk in an OAM multiplexed link |
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263 | (3) |
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10.2.1 Atmospheric turbulence |
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263 | (1) |
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264 | (1) |
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265 | (1) |
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266 | (1) |
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10.3 Adaptive optics (AO) for crosstalk (XT) mitigation |
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266 | (9) |
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10.3.1 AO using wavefront sensor (WFS) and Gaussian probe beam |
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266 | (3) |
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10.3.2 AO using WFS and Gaussian probe beam in a quantum communication link |
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269 | (2) |
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10.3.3 AO using camera for beam intensity measurement |
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271 | (2) |
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10.3.4 Simultaneous demultiplexing and XT mitigation by using multi-plane light converter (MPLC) |
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273 | (1) |
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274 | (1) |
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10.4 Spatial modes manipulation for crosstalk mitigation |
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275 | (5) |
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10.4.1 Turbulence pre-compensation by OAM mode combination |
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275 | (2) |
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10.4.2 Simultaneous orthogonalizing and shaping of multiple LG beams |
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277 | (2) |
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10.4.3 Utilizing Bessel-Gaussian (BG) beams with non-zero OAM order |
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279 | (1) |
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280 | (1) |
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10.5 Digital signal processing for crosstalk mitigation |
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280 | (4) |
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10.5.1 MIMO equalization for crosstalk mitigation in laboratory |
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281 | (1) |
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10.5.2 MIMO equalization for crosstalk mitigation in the link through a flying UAV |
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282 | (2) |
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284 | (1) |
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284 | (7) |
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284 | (1) |
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284 | (7) |
Index |
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