Fault‐Tolerant Gates
10.4 Theoretical Framework
10.A Binary Fields and Discrete Vector Spaces
10.B Some Noise Physics
References
11 Quantum Search Algorithms
11.1 Quantum Search Algorithms
11.2 Physics of Quantum Algorithms
References
12 Quantum Machine Learning
12.1 QML Algorithms
12.2 QNN Preliminaries
12.3 Quantum Classifiers with ML: Near‐Term Solutions
12.4 Gradients of Parameterized Quantum Gates
12.5 Classification with QNNs
12.6 Quantum Decision Tree Classifier
Appendix 12.7 Matrix Exponential
References
13 QC Optimization
13.1 Hybrid Quantum‐Classical Optimization Algorithms
13.2 Convex Optimization in Quantum Information Theory
13.3 Quantum Algorithms for Combinatorial Optimization Problems
13.4 QC for Linear Systems of Equations
13.5 Quantum Circuit
13.6 Quantum Algorithm for Systems of Nonlinear Differential Equations
References
14 Quantum Decision Theory
14.1 Potential Enablers for Qc
14.2 Quantum Game Theory (QGT)
14.3 Quantum Decision Theory (QDT)
14.4 Predictions in QDT
References
15 Quantum Computing in Wireless Networks
15.1 Quantum Satellite Networks
15.2 QC Routing for Social Overlay Networks
15.3 QKD Networks
References
16 Quantum Network on Graph
16.1 Optimal Routing in Quantum Networks
16.2 Quantum Network on Symmetric Graph
16.3 QWs
16.4 Multidimensional QWs
References
17 Quantum Internet
17.1 System Model
17.2 Quantum Network Protocol Stack
References
7 Index
List of Tables
1 Chapter 3Table 3.1 Multi‐layer network notation.Table 3.2 Finite impulse response (FIR) multi‐layer network notation.Table 3.3 Variables, for the derivation of gradient withϕ ↔ φ...
2 Chapter 4Table 4.1 An example of the (discrete) membership functions for both antece...
3 Chapter 5Table 5.1 [1] Learning algorithm.Table 5.2 Time complexity of the most expensive instructions of the learnin...
4 Chapter 7Table 7.1 Neural network architecture parameters.
5 Chapter 8Table 8.1 Operation of aCU gate.Table 8.2 Operational of a Toffoli gate.
6 Chapter 9Table 9.1 Quantum depolarizing channels.Table 9.2 Maximum number of computational steps that can be performed witho...
7 Chapter 10Table 10.1 The syndrome table for the two‐qubit code.Table 10.2 The syndrome table for all bit‐flip errors on the three‐qubit co...Table 10.3 The syndrome table for the [[4, 2, 2]] code for all single‐qubit...Table 10.4 The syndrome table for single‐qubit X‐ and Z‐errors on the nine‐...Table 10.5 Stabilizers for the distance 3 planar qubit of Figures 10.9d and...
8 Chapter 17Table 17.1 Expected number of entanglement swaps for ring and grid network ...Table 17.2 Comparison of the number of qubits that have to be stored in a d...
List of Illustrations
1 Chapter 2Figure 2.1 If X and Y are two jointly normally distributed random variables,...Figure 2.2 The regression line for predicting Y* from X* is not the 45° line...Figure 2.3 Decision tree.Figure 2.4 Tree terminology.Figure 2.5 Data classification.Figure 2.6 Classification with outliers.Figure 2.7 Classifiers with nonlinear transformations.
