Can Arbitrary Quantum Systems Undergo Self-replication?

[1]  A. Church.  An Unsolvable Problem of Elementary Number Theory , 1936 .

[2]  S. Braunstein,et al.  Impossibility of deleting an unknown quantum state , 2000, Nature.

[3]  W. Wootters,et al.  A single quantum cannot be cloned , 1982, Nature.

[4]  E. Schrödinger,et al.  What is life? : the physical aspect of the living cell , 1946 .

[5]  I. Chuang,et al.  Programmable Quantum Gate Arrays , 1997, quant-ph/9703032.

[6]  Charles H. Bennett,et al.  Logical reversibility of computation , 1973 .

[7]  Seth Lloyd,et al.  Universal Quantum Simulators , 1996, Science.

[8]  A. Turing.  On Computable Numbers, with an Application to the Entscheidungsproblem. , 1937 .

[9]  Peter W. Shor,et al.  Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer , 1995, SIAM Rev..

[10]  Lov K. Grover.  Quantum Mechanics Helps in Searching for a Needle in a Haystack , 1997, quant-ph/9706033.

[11]  R. Feynman.  Quantum mechanical computers , 1986 .

[12]  R. Penrose,et al.  Shadows of the Mind , 1994 .

[13]  Chris Adami.  On modeling life , 1994 .

[14]  Umesh V. Vazirani,et al.  Quantum Complexity Theory , 1997, SIAM J. Comput..

[15]  Buzek,et al.  Quantum copying: Beyond the no-cloning theorem. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[16]  R. Feynman.  Simulating physics with computers , 1999 .

[17]  D. Deutsch,et al.  Rapid solution of problems by quantum computation , 1992, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.