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Abstract: Since Richard Feynman introduced the notion of quantum computation in 1982, various models of "quantum computers" have been proposed. These models include quantum Turing machines and quantum circuits. In this paper we define another quantum computational model, one-dimensional quantum cellular automata, and demonstrate that any quantum Turing machine can be efficiently simulated by a onedimensional quantum cellular automaton with constant slowdown. This can be accomplished by consideration of a ... (Update)
Context of citations to this paper: More
...of simple, local unitary transformations. This problem has been solved in the special case of linearly bounded quantum cellular automata [24, 45]. Finally, several researchers have explored the computational power of quantum Turing Machines. Early work by Deutsch and Jozsa [22]...
...quantum computational device: its time evolution operator has to be unitary. For QTMs [7] space periodic LQCAs [9] and partitioned LQCAs [25] well formedness implies unitarity, but not for the model of LQCAs we consider here. Building on the present algorithm we gave in a...
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10: Quantum complexity theory - Bernstein, Vazirani - 1993
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BibTeX entry: (Update)
J. Watrous. On one-dimensional quantum cellular automata. In 36th Annual Symposium on Foundations of Computer Science, pages 528-537, Milwaukee, Wisconsin, (October 1995). IEEE. http://citeseer.ist.psu.edu/watrous95onedimensional.html More
@inproceedings{ watrous95onedimensional,
author = "John Watrous",
title = "On One-Dimensional Quantum Cellular Automata",
booktitle = "{IEEE} Symposium on Foundations of Computer Science",
pages = "528-537",
year = "1995",
url = "citeseer.ist.psu.edu/watrous95onedimensional.html" }
Citations (may not include all citations):173 Quantum Complexity Theory - Bernstein, Vazirani - 1993
168 Algorithms for Quantum Computation: Discrete Logarithms and .. - Shor - 1994
118 the Church-Turing Principle and the Universal Quantum Comput.. (context) - Deutsch, Theory - 1985
116 Simulating Physics with Computers - Feynman - 1982
32 Foundations of Computer Science (context) - Yao, Complexity et al. - 1993
27 An Introduction to Hilbert Space (context) - Young - 1988
18 Computation Universality of One-Dimensional Reversible (context) - Morita, Harao - 1989
1 Macmillan and Co (context) - Cooke, Matrices et al. - 1950
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.cs.wisc.edu/~watrous/publications.html):
Relationships Between Quantum and Classical Space-Bounded.. - Watrous (1998) (Correct)
On the Power of Quantum Finite State Automata - Kondacs, Watrous (1997) (Correct)
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