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Quantum Computing for the Quantum Curious.

Yazar:Hughes, Ciaran
Katkıda bulunan(lar):Isaacson, Joshua | Perry, Anastasia | Sun, Ranbel F | Turner, Jessica
Materyal türü: KonuKonuYayıncı: Cham : Springer International Publishing AG, 2021Telif hakkı tarihi: �2021Tanım: 1 online resource (159 pages)İçerik türü:text Ortam türü:computer Taşıyıcı türü: online resourceISBN: 9783030616014Tür/Form:Electronic books.Ek fiziksel biçimler:Print version:: Quantum Computing for the Quantum CuriousDDC sınıflandırma: 006.3843 LOC classification: QC173.96-174.52Çevrimiçi kaynaklar: Click to View
İçindekiler:
Intro -- Acknowledgments -- Contents -- Course Description -- About -- Prerequisites -- Fundamental -- Intermediate -- Advanced -- Learning Objectives -- Alternative Pathways -- 1 Introduction to Superposition -- 1.1 Classical Superposition -- 1.2 Quantum Superposition -- 1.3 Big Ideas -- 1.4 Activities -- 1.5 Check Your Understanding -- 2 What Is a Qubit? -- 2.1 Mathematical Representation of Qubits -- 2.1.1 Dirac Bra-Ket Notation -- 2.1.2 Examples -- 2.2 Matrix Representation -- 2.2.1 Examples -- 2.3 Bloch Sphere -- 2.4 Physical Realization of Qubits -- 2.5 Big Ideas -- 2.6 Check Your Understanding -- 3 Creating Superposition: The Beam Splitter -- 3.1 Beam Splitter -- 3.2 Mach-Zehnder Interferometer -- 3.2.1 Particle Explanation -- 3.3 Big Ideas -- 3.4 Check Your Understanding -- 4 Creating Superposition: Stern-Gerlach -- 4.1 Stern-Gerlach Apparatus -- 4.2 Measurement Basis -- 4.3 Geometric Representation of a Basis -- 4.4 Effect of Measurement -- 4.5 Big Ideas -- 4.6 Activities -- 4.7 Check Your Understanding -- 5 Quantum Cryptography -- 5.1 Cryptography Fundamentals -- 5.2 Classical Cryptography -- 5.3 BB84 Quantum Key Distribution -- 5.3.1 Before Sending the Message -- 5.3.2 Quantum Part -- 5.3.3 Example -- 5.3.4 Classical Post-processing -- 5.4 Detecting an Eavesdropper -- 5.4.1 Example -- 5.5 Big Ideas -- 5.6 Activities -- 5.7 Check Your Understanding -- 6 Quantum Gates -- 6.1 Single Qubit Gates -- 6.2 X (Also Called NOT) Gate -- 6.3 Hadamard Gate -- 6.4 Mathematics of the Hadamard Gate -- 6.4.1 Examples -- 6.5 Z Gate -- 6.6 Big Ideas -- 6.7 Activities -- 6.8 Check Your Understanding -- 7 Entanglement -- 7.1 Entanglement Fundamentals -- 7.2 Hidden Variable Theory -- 7.3 Multi-Qubit States -- 7.3.1 Example -- 7.4 Non-Entangled Systems -- 7.4.1 Example -- 7.5 Entangled Systems -- 7.5.1 Example -- 7.5.2 Example.
7.6 Entangling Particles -- 7.7 CNOT Gate -- 7.8 Notation Convention -- 7.9 Examples -- 7.10 Big Ideas -- 7.11 Activities -- 7.12 Check Your Understanding -- 8 Quantum Teleportation -- 8.1 Scanning a Qubit -- 8.2 Teleportation Protocol -- 8.3 Big Ideas -- 8.4 Check Your Understanding -- 9 Quantum Algorithms -- 9.1 The Power of Quantum Computing -- 9.2 Limitations -- 9.3 Deutsch-Jozsa Algorithm -- 9.3.1 The Problem Statement -- 9.3.2 Conceptual Understanding -- 9.3.3 Quantum Algorithm -- 9.4 Quantum Computers Today -- 9.5 Big Ideas -- 9.6 Activities -- 9.7 Check Your Understanding -- 10 Worksheets -- 10.1 Correlation in Entangled States Lab -- 10.2 Polarizer Demo -- 10.3 Quantum Tic-Tac-Toe -- 10.3.1 The Rules -- 10.3.2 Connection to Quantum Physics -- 10.4 Schr�odinger's Worm Using Five Qubits -- 10.5 Superposition vs. Mixed States Lab -- 10.6 Measurement Basis Lab -- 10.7 One-Time Pad -- 10.7.1 One-Time Pad: Alice -- 10.7.2 One-Time Pad (Bob) -- 10.8 BB84 Quantum Key Distribution -- 10.8.1 BB84 Quantum Key Distribution: Alice -- 10.8.2 BB84 Quantum Key Distribution: Bob -- 10.8.3 BB84 Quantum Key Distribution: Eve -- A Probability -- A.1 Introduction -- A.2 Combining Probabilities -- A.2.1 Key Words Review -- A.2.2 Key Ideas Review -- A.2.3 Check Your Understanding -- A.3 Histograms -- A.4 Mean, Median, and Mode -- A.4.1 Key Word Review -- A.4.2 Check Your Understanding -- A.5 Variance and Standard Deviation -- A.5.1 Key Word Review -- A.5.2 Check Your Understanding -- B Linear Algebra -- B.1 Introduction -- B.2 Scalars, Vectors, and Matrices -- B.2.1 Scalars -- B.2.2 Vectors -- Operations with Vectors -- B.2.3 Matrices -- Addition and Subtraction of Matrices -- Multiplication with Matrices -- Transposition -- B.3 Key Word Review -- B.4 Check Your Understanding -- Answers to Odds -- Answers to Odds -- Chapter 1 Solutions.
Chapter 2 Solutions -- Chapter 3 Solutions -- Chapter 4 Solutions -- Chapter 5 Solutions -- Chapter 6 Solutions -- Chapter 7 Solutions -- Chapter 8 Solutions -- Chapter 9 Solutions -- Chapter 10 Solutions -- 10.1 -- 10.4 -- 10.5 -- 10.6 -- Appendix A Solutions -- A.2 -- A.4 -- A.5 -- Appendix B Solutions -- Index.
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Intro -- Acknowledgments -- Contents -- Course Description -- About -- Prerequisites -- Fundamental -- Intermediate -- Advanced -- Learning Objectives -- Alternative Pathways -- 1 Introduction to Superposition -- 1.1 Classical Superposition -- 1.2 Quantum Superposition -- 1.3 Big Ideas -- 1.4 Activities -- 1.5 Check Your Understanding -- 2 What Is a Qubit? -- 2.1 Mathematical Representation of Qubits -- 2.1.1 Dirac Bra-Ket Notation -- 2.1.2 Examples -- 2.2 Matrix Representation -- 2.2.1 Examples -- 2.3 Bloch Sphere -- 2.4 Physical Realization of Qubits -- 2.5 Big Ideas -- 2.6 Check Your Understanding -- 3 Creating Superposition: The Beam Splitter -- 3.1 Beam Splitter -- 3.2 Mach-Zehnder Interferometer -- 3.2.1 Particle Explanation -- 3.3 Big Ideas -- 3.4 Check Your Understanding -- 4 Creating Superposition: Stern-Gerlach -- 4.1 Stern-Gerlach Apparatus -- 4.2 Measurement Basis -- 4.3 Geometric Representation of a Basis -- 4.4 Effect of Measurement -- 4.5 Big Ideas -- 4.6 Activities -- 4.7 Check Your Understanding -- 5 Quantum Cryptography -- 5.1 Cryptography Fundamentals -- 5.2 Classical Cryptography -- 5.3 BB84 Quantum Key Distribution -- 5.3.1 Before Sending the Message -- 5.3.2 Quantum Part -- 5.3.3 Example -- 5.3.4 Classical Post-processing -- 5.4 Detecting an Eavesdropper -- 5.4.1 Example -- 5.5 Big Ideas -- 5.6 Activities -- 5.7 Check Your Understanding -- 6 Quantum Gates -- 6.1 Single Qubit Gates -- 6.2 X (Also Called NOT) Gate -- 6.3 Hadamard Gate -- 6.4 Mathematics of the Hadamard Gate -- 6.4.1 Examples -- 6.5 Z Gate -- 6.6 Big Ideas -- 6.7 Activities -- 6.8 Check Your Understanding -- 7 Entanglement -- 7.1 Entanglement Fundamentals -- 7.2 Hidden Variable Theory -- 7.3 Multi-Qubit States -- 7.3.1 Example -- 7.4 Non-Entangled Systems -- 7.4.1 Example -- 7.5 Entangled Systems -- 7.5.1 Example -- 7.5.2 Example.

7.6 Entangling Particles -- 7.7 CNOT Gate -- 7.8 Notation Convention -- 7.9 Examples -- 7.10 Big Ideas -- 7.11 Activities -- 7.12 Check Your Understanding -- 8 Quantum Teleportation -- 8.1 Scanning a Qubit -- 8.2 Teleportation Protocol -- 8.3 Big Ideas -- 8.4 Check Your Understanding -- 9 Quantum Algorithms -- 9.1 The Power of Quantum Computing -- 9.2 Limitations -- 9.3 Deutsch-Jozsa Algorithm -- 9.3.1 The Problem Statement -- 9.3.2 Conceptual Understanding -- 9.3.3 Quantum Algorithm -- 9.4 Quantum Computers Today -- 9.5 Big Ideas -- 9.6 Activities -- 9.7 Check Your Understanding -- 10 Worksheets -- 10.1 Correlation in Entangled States Lab -- 10.2 Polarizer Demo -- 10.3 Quantum Tic-Tac-Toe -- 10.3.1 The Rules -- 10.3.2 Connection to Quantum Physics -- 10.4 Schr�odinger's Worm Using Five Qubits -- 10.5 Superposition vs. Mixed States Lab -- 10.6 Measurement Basis Lab -- 10.7 One-Time Pad -- 10.7.1 One-Time Pad: Alice -- 10.7.2 One-Time Pad (Bob) -- 10.8 BB84 Quantum Key Distribution -- 10.8.1 BB84 Quantum Key Distribution: Alice -- 10.8.2 BB84 Quantum Key Distribution: Bob -- 10.8.3 BB84 Quantum Key Distribution: Eve -- A Probability -- A.1 Introduction -- A.2 Combining Probabilities -- A.2.1 Key Words Review -- A.2.2 Key Ideas Review -- A.2.3 Check Your Understanding -- A.3 Histograms -- A.4 Mean, Median, and Mode -- A.4.1 Key Word Review -- A.4.2 Check Your Understanding -- A.5 Variance and Standard Deviation -- A.5.1 Key Word Review -- A.5.2 Check Your Understanding -- B Linear Algebra -- B.1 Introduction -- B.2 Scalars, Vectors, and Matrices -- B.2.1 Scalars -- B.2.2 Vectors -- Operations with Vectors -- B.2.3 Matrices -- Addition and Subtraction of Matrices -- Multiplication with Matrices -- Transposition -- B.3 Key Word Review -- B.4 Check Your Understanding -- Answers to Odds -- Answers to Odds -- Chapter 1 Solutions.

Chapter 2 Solutions -- Chapter 3 Solutions -- Chapter 4 Solutions -- Chapter 5 Solutions -- Chapter 6 Solutions -- Chapter 7 Solutions -- Chapter 8 Solutions -- Chapter 9 Solutions -- Chapter 10 Solutions -- 10.1 -- 10.4 -- 10.5 -- 10.6 -- Appendix A Solutions -- A.2 -- A.4 -- A.5 -- Appendix B Solutions -- Index.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2022. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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