Quantum computation, entanglement and state reduction

Some general foundational issues of quantum mechanics are considered and are related to aspects of quantum computation. The importance of quantum entanglement and quantum information is discussed and their curious acausal properties are addressed. The question of quantum state reduction is also considered, and a specific suggestion for a gravitational state–reduction scheme is put forward. A general proposal for an experiment to test this scheme is also suggested.

[1]  W. Schempp Magnetic Resonance Imaging: Mathematical Foundations and Applications , 1998 .

[2]  Irene M. Moroz,et al.  Spherically symmetric solutions of the Schrodinger-Newton equations , 1998 .

[3]  H. Weinfurter,et al.  Experimental quantum teleportation , 1997, Nature.

[4]  R. Jozsa Entanglement and Quantum Computation , 1997, quant-ph/9707034.

[5]  R. Penrose,et al.  Conscious Events as Orchestrated Space-Time Selections , 1996 .

[6]  R. Penrose On Gravity's role in Quantum State Reduction , 1996 .

[7]  Roger Penrose,et al.  Orchestrated reduction of quantum coherence in brain microtubules: A model for consciousness , 1996 .

[8]  I. Percival Quantum spacetime fluctuations and primary state diffusion , 1995, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[9]  P. Pearle,et al.  Gravity, energy conservation, and parameter values in collapse models , 1995, quant-ph/9503019.

[10]  Roger Penrose,et al.  Shadows of the mind - a search for the missing science of consciousness , 1994 .

[11]  Pearle,et al.  Bound state excitation, nucleon decay experiments and models of wave function collapse. , 1994, Physical review letters.

[12]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[13]  B. Hiley The Undivided Universe , 1993 .

[14]  R. Penrose Gravity and quantum mechanics , 1993 .

[15]  Aaron Sloman,et al.  THE EMPEROR'S NEW MIND Concerning Computers, Minds and the Laws of Physics , 1992 .

[16]  Grassi,et al.  Continuous-spontaneous-reduction model involving gravity. , 1989, Physical review. A, Atomic, molecular, and optical physics.

[17]  Vaidman,et al.  Properties of a quantum system during the time interval between two measurements. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[18]  A. Zeilinger,et al.  Going Beyond Bell’s Theorem , 2007, 0712.0921.

[19]  Diósi,et al.  Models for universal reduction of macroscopic quantum fluctuations. , 1989, Physical review. A, General physics.

[20]  Pearle,et al.  Combining stochastic dynamical state-vector reduction with spontaneous localization. , 1989, Physical review. A, General physics.

[21]  M. Kafatos Bell's theorem, quantum theory and conceptions of the universe , 1989 .

[22]  P. Werbos Bell’s Theorem: The Forgotten Loophole and How to Exploit It , 1989 .

[23]  Lajos Diósi,et al.  A universal master equation for the gravitational violation of quantum mechanics , 1987 .

[24]  Weber,et al.  Unified dynamics for microscopic and macroscopic systems. , 1986, Physical review. D, Particles and fields.

[25]  F. Károlyházy,et al.  On the possible role of gravity in the reduction of the wave function , 1986 .

[26]  R. Penrose,et al.  Quantum Concepts in Space and Time , 1986 .

[27]  D. Raine,et al.  Quantum Gravity 2: A Second Oxford Symposium , 1982 .

[28]  T. Kibble Is a Semi-Classical Theory of Gravity Viable? , 1981 .

[29]  F. Károlyházy Gravitation and quantum mechanics of macroscopic bodies , 1974 .

[30]  F. Károlyházy,et al.  Gravitation and quantum mechanics of macroscopic objects , 1966 .

[31]  D. Bohm A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II , 1952 .