Quantum Computation and Quantum Information Theory, Collected Papers and Notes

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Product Details

  • ISBN-13: 9789810241179
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 1/28/2001
  • Pages: 532
  • Product dimensions: 7.88 (w) x 10.66 (h) x 1.22 (d)

Table of Contents

Preface
1 Introductory Concepts 3
1.1 Multiparticle Interferometry and the Superposition Principle 4
1.2 Quantum Entanglement: A Fundamental Concept Finding its Applications 12
1.3 Experiment and the Foundations of Quantum Physics 19
2 Quantum Entanglement Manipulation 31
2.1 Teleporting an Unknown Quantum State via Dual Classic and Einstein-Podolsky-Rosen Channels 35
2.2 Experimental Quantum Teleportation 40
2.3 Teleportation of Continuous Quantum Variables 45
2.4 Going Beyond Bell's Theorem in Bell's Theorem, Quantum Theory and Conception of the Universe 49
2.5 What Is Wrong with These Elements of Reality 53
2.6 Observation of Three-Photon Greenberger-Horne-Zeilinger Entanglement 55
3 Quantum Algorithms 63
3.1 An Overview of Quantum Computing 66
3.2 On Quantum Algorithms 86
4 An Introduction to Quantum Complexity Theory 103
5 Quantum Error Correction 131
5.1 Scheme for Reducing Decoherence in Quantum Computer Memory 134
5.2 Error Correcting Codes in Quantum Theory 138
5.3 Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound 143
5.4 Fault-Tolerant Error Correction with Efficient Quantum Codes 150
6 Quantum Channels 157
6.1 General Scheme of Measurement Processes 161
6.2 Completely Positive Linear Maps on Complex Matrices 174
Sending Entanglement Through Noisy Quantum Channels 180
6.4 Noncommuting Mixed States Cannot Be Broadcast 195
6.5 Sending Classical Information via Noisy Quantum Channels 199
6.6 Nonorthogonal Quantum States Maximize Classical Information Capacity 207
7 Long-Distance Quantum Communication 213
7.1 Quantum Repeaters: The Role of Imperfect Local Operations in Quantum Communication 217
7.2 Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels 221
7.3 Quantum Privacy Amplification and the Security of Quantum Cryptography over Noisy Channels 225
7.4 Photonic Channels for Quantum Communication 229
8 Quantum Key Distribution 235
8.1 Quantum Cryptography 240
8.2 Practical Aspects of Quantum Cryptographic Key Distribution 245
8.3 Quantum Key Distribution: From Principles to Practicalities in Applicable Algebra in Engineering, Communication & Communication 259
9 Cavity Quantum Electrodynamics 277
9.1 Cavity Quantum Electrodynamics 282
9.2 Measurement of Conditional Phase Shifts for Quantum Logic 290
9.3 Real-Time Cavity QED with Single Atoms 294
9.4 Quantum Memory with a Single Photon in a Cavity 298
9.5 Observing the Progressive Decoherence of the "Meter" in a Quantum Measurement 302
9.6 Inversion of Quantum Jumps in Quantum Optical Systems under Continuous Observation 306
10 Quantum Computation with Ion Traps 313
10.1 Electromagnetic Traps for Charged and Neutral Particles 320
10.2 Quantum Computations with Cold Trapped Ions 330
10.3 New Ion Trap for Frequency Standard Applications 334
10.4 Ion Strings for Quantum Gates 339
10.5 Quantum Dynamics of Cold Trapped Ions with Application to Quantum Computation 345
10.6 Demonstration of a Fundamental Quantum Logic Gate 355
10.7 Deterministic Entanglement of Two Trapped Ions 359
11 Josephson Junctions and Quantum Computation 365
11.1 Mesoscopic Effects in Superconductivity in Mesoscopic Electron Transport 368
11.2 Quantum Manipulations of Small Josephson Junctions 391
11.3 Josephson-Junction Qubits with Controlled Couplings 395
12 Quantum Information in Optical Lattices 401
12.1 Quantum Computing with Neutral Atoms 404
13 Quantum Computation and Quantum Communication with Electrons 427
13.1 Quantum Computation with Quantum Dots 433
13.2 Coupled Quantum Dots as Quantum Gates 440
13.3 Quantum Computers and Quantum Coherence 449
14 Quantum Computing with NMR 465
14.1 Nuclear Magnetic Resonance Spectroscopy: An Experimentally Accessible Paradigm for Quantum Computing 471
14.2 Implementation of a Quantum Algorithm on a Nuclear Magnetic Resonance Quantum Computer 476
14.3 Experimental Implementation of Fast Quantum Searching 482
14.4 An Implementation of the Deutsch-Jozsa Algorithm on a Three-Qubit NMR Quantum Computer 486
Selected Bibliography 493
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