A concise introduction to quantum probability , quantum mechanics , and quantum computation

Quantum mechanics is one of the most interesting and surprising pillars of modern physics. Its basic precepts require only undergraduate or early graduate mathematics; but because quantum mechanics is surprising, it is more difficult than these prerequisites suggest. Moreover, the rigorous and clear rules of quantum mechanics are sometimes confused with the more difficult and less rigorous rules of quantum field theory.

[1]  D. Salgado,et al.  A Simple Proof of the Jamiołkowski Criterion for Complete Positivity of Linear Maps , 2005, Open Syst. Inf. Dyn..

[2]  R. Leighton,et al.  Feynman Lectures on Physics , 1971 .

[3]  W. Heitler The Principles of Quantum Mechanics , 1947, Nature.

[4]  C. H. Bennett,et al.  Quantum nonlocality without entanglement , 1998, quant-ph/9804053.

[5]  Thierry Paul,et al.  Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.

[6]  K. Dennerl,et al.  Discovery of X-rays from Venus with Chandra , 2002, astro-ph/0204263.

[7]  K. Kraus General state changes in quantum theory , 1971 .

[8]  A. Jamiołkowski Linear transformations which preserve trace and positive semidefiniteness of operators , 1972 .

[9]  G. Roger,et al.  Experimental Test of Bell's Inequalities Using Time- Varying Analyzers , 1982 .

[10]  Anton Zeilinger,et al.  Wave–particle duality of C60 molecules , 1999, Nature.

[11]  Albert Einstein,et al.  Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , 1935 .

[12]  J. J. Sakurai,et al.  Modern Quantum Mechanics , 1986 .

[13]  John M. Martinis,et al.  Banishing quasiparticles from Josephson-junction qubits: why and how to do it , 2003 .

[14]  K. Kraus,et al.  Pure operations and measurements , 1969 .

[15]  Man-Duen Choi Completely positive linear maps on complex matrices , 1975 .

[16]  Diederik S. Wiersma,et al.  Laser action in very white paint , 1997 .

[17]  A. Zeilinger,et al.  Speakable and Unspeakable in Quantum Mechanics , 1989 .

[18]  M. Born Zur Quantenmechanik der Stoßvorgänge , 1926 .

[19]  A. Shimony,et al.  Proposed Experiment to Test Local Hidden Variable Theories. , 1969 .

[20]  G. Pozzi,et al.  On the statistical aspect of electron interference phenomena , 1976 .