Quantum Computers

Editora:

Springer Nature B.V.

Código:

491_9789811975189

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1 Introduction 2 Classical Computer 2.1 Binary Representation 3 Quantum Computer 3.1 Qubit 4 Classical Gates and Circuits 5 Quantum Gates and Circuits 5.1 Hilbert space 5.2 Measurement 6 Deutsch Algorithm 7 Grover Algorithm 7.1 Grover algorithm: two-qubit7.2 Grover algorithm: n-qubit7.3 Grover diffusion and rotation gate G 7.4 Single Recursion: Two qubit 8 Deutsch-Josza Algorithm 9 Simons Algorithm9.1 Quantum Algorithm 9.2 An Illustrative Example 10 Quantum Fourier Transform (QFT) 5110.1 Quantum circuit of QFT 11 Shor 11.1 Introduction11.2 Understanding the classical algorithm 11.3 Quantum algorithm 12 Option Pricing12.1 Quantum Algorithm for Option Pricing 12.2 Quadratic Improvement 12.3 Estimation of Phase12.4 Call Option 13 Solving Linear Equations13.1 Introduction 13.2 Harrow-Hassidim-Lloyd Algorithm13.3 Specific Example 13.4 Other applications 14 Quantum-Classical Hybrid Algorithms 14.1 Why bother? 14.2 Overlap of Wavefunctions 14.3 Variational Quantum Eigensolvers 15 Quantum Error Correction 15.1 Introduction15.2 Simple quantum errors15.3 Kraus Operators15.4 Nine-qubit Code15.5 General properties of quantum error-correcting codes15.6 Classical Linear Codes15.7 CSS Codes 16 Efficiency of a Quantum Computer16.1 So where does quantum computation take place? 16.2 Conclusions16.3 Acknowledgements

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