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Diese Einführung in die Quanteninformation und das Quantenrechnen beschäftigt sich umfassend mit diesem schnell wachsenden Fachgebiet und erläutert alles Wissenswerte, ohne sich in mathematische Herleitungen zu verlieren.
List of contents
1 Making Computation Faster and Communication Secure: Quantum Solution1.1 Turing Machine: a Real Machine or . . .1.2 . . . a Mathematical Procedure1.3 Faster SuperTuring Computation1.4 Digital Computers Do not Run on Logic1.5 Speeding up Computation: Classical Analog Computation . . .1.6 . . . versus Quantum Physical Computation1.7 Complexity Limits: Exponential Time1.8 Energy Limits . . .1.9 . . . and Reversible Gates1.10 Ultimate Efficiency: Quantum Computers and Qubits1.11 Combining andMeasuringQubits: QuantumSuperposition?Qubit Primer1.15 Generating Qubits: Sources of Photons?Polarization Primer1.16 Correlating Unpolarized Qubits: Quantum Entanglement1.17 Separating and Transforming Entanglements: Bell States at a Beam Splitter1.18 Manipulating and Verifying Entanglements: Superdense Coding1.19 Copying Qubits? No. Teleporting Qubits!1.20 Unperformed Measurements Have no Values: KochenSpecker Sets1.21 Controlling Qubits: Quantum Gates and Circuits1.22 Self-Sustaining Qubits: Quantum Error Correction1.23 Flying Qubits Connecting Quantum Chips and Computers: Quantum Repeaters1.24 Why Classical Cryptography Cannot Keep Secrets for Long . . .1.25 . . . and why Quantum Cryptography Can?1.25.1 Entanglement in Action: Deterministic Communication1.25.2 NoCloning in Action: Probabilistic BB84 Protocol1.26 WhyThereCanBe noQuantumEavesdroppers? Unconditional Security2 Quantum Computation and Communication Hardware2.1 Technological Candidates for Quantum Computation Implementation2.2 All-Optical Scalable Quantum Computation2.2.1 Probabilistic Parity Check Gate with a Quantum Encoder2.2.2 Destructive CNOT Gate2.2.3 Nondestructive Probabilistic Full CNOT Gate2.2.4 The Teleportation Trick2.2.5 Scalable Computation2.3 Trapped Ions2.4 Nuclear Magnetic Resonance2.5 SiliconBased Nuclear Spins?Kane?s Computer2.6 Quantum Dots2.6.1 EnergyLevel Design; Quantum Dots in a Microcavity2.6.2 Atom-Cavity Interaction between Levels |0> and |1>2.6.3 Laser-Atom Interaction between |0> and |1>2.6.4 Atom-Cavity and Laser-Atom Interactions between |0> and |2>2.6.5 Implementation of a CNOT gate2.6.6 Reading out the Results; Perspectives2.6.7 Spinlevel design; array of coupled quantum dots2.7 Superconducting Devices2.7.1 Josephson Junction2.7.2 Josephson Junction Circuit and Hamiltonian2.7.3 Josephson Junction Cooper-Pair Box2.7.4 Superconducting Quantum Interference Device?SQUID2.7.5 Cooper Pairs2.7.6 Quantum Gates for Single Qubits2.7.7 Quantum Gates for Two Qubits?CNOT Gate2.7.8 Reading out the results3 Melting Theory with Implementation3.1 Quantum Network3.1.1 One-Atom Laser and Atom-Cavity Coupling3.1.2 Single Photons on Demand3.1.3 Dark States3.1.4 Quantum Repeaters Revisited3.2 Quantum-Classical Coupling: Interaction-Free Computation3.3 Quantum Algorithms: Quantum or Classical Problems?3.3.1 Are there Universal Quantum Algorithms?3.3.2 Quantum Coin?Deutsch?s Algorithm3.3.3 Deutsch-Jozsa and Bernstein-Vazirani Algorithms3.3.4 Shor?s Algorithm3.3.5 Quantum Simulators4 Beyond Standard Qubit Computation4.1 Persistent Entanglement4.2 One-Way Computing and Cluster States4.2.1 Dumping Reversibility and Unitarity?4.2.2 Irreversible Measurement Setup4.2.3 Reversibility and Unitarity Revisited4.3 Continuous Variables4.3.1 Continuous Entanglement4.3.2 Second-Order (One-Photon) vs. Fourth-Order (Two-Photon) Interference4.3.3 Qubits with Continuous Spatial Degree of Freedom4.3.4 Universal Quantum Computation with Continuous-Variable Cluster States5 Epilogue?Hybrid Systems
About the author
Mladen Pavicic is a full physics professor at the University of Zagreb, Croatia. He stayed for more than five years in Germany (Humboldt University and Technical University of Berlin, University of Cologne), in the States (University of Maryland Baltimore County), in Austria (Atom Institute) and others. His research focuses on quantum information.
Professor Pavicic is an Alexander von Humboldt and a Senior Fulbright fellow. He has been the head of five successive federal projects since 1996. He is author of the book `Quantum Computation and Quantum Communication? and of over 50 scientific articles in international peer reviewed journals.
Summary
Diese Einführung in die Quanteninformation und das Quantenrechnen beschäftigt sich umfassend mit diesem schnell wachsenden Fachgebiet und erläutert alles Wissenswerte, ohne sich in mathematische Herleitungen zu verlieren.