Quantum cellular automata

We formulate a new paradigm for computing with cellular automata (CAS) composed of arrays of quantum devices - quantum cellular automata. Computing in such a paradigm is edge driven. Input, output, and power are delivered at the edge of the CA array only, no direct flow of information or energy to i...

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Published inNanotechnology Vol. 4; no. 1; pp. 49 - 57
Main Authors Lent, C S, Tougaw, P D, Porod, W, Bernstein, G H
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.01.1993
Institute of Physics
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Online AccessGet full text
ISSN0957-4484
1361-6528
DOI10.1088/0957-4484/4/1/004

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Abstract We formulate a new paradigm for computing with cellular automata (CAS) composed of arrays of quantum devices - quantum cellular automata. Computing in such a paradigm is edge driven. Input, output, and power are delivered at the edge of the CA array only, no direct flow of information or energy to internal cells is required. Computing in this paradigm is also computing with the ground state. The architecture is so designed that the ground-state configuration of the array, subject to boundary conditions determined by the input, yields the computational result. We propose a specific realization of these ideas using two-electron cells composed of quantum dots, which is within the reach of current fabrication technology. The charge density in the cell is very highly polarized (aligned) along one of the two cell axes, suggestive of a two-state CA. The polarization of one cell induces a polarization in a neighboring cell through the Coulomb interaction in a very non-linear fashion. Quantum cellular automata can perform useful computing. We show that AND gates, OR gates, and inverters can be constructed and interconnected.
AbstractList We formulate a new paradigm for computing with cellular automata (CAS) composed of arrays of quantum devices - quantum cellular automata. Computing in such a paradigm is edge driven. Input, output, and power are delivered at the edge of the CA array only, no direct flow of information or energy to internal cells is required. Computing in this paradigm is also computing with the ground state. The architecture is so designed that the ground-state configuration of the array, subject to boundary conditions determined by the input, yields the computational result. We propose a specific realization of these ideas using two-electron cells composed of quantum dots, which is within the reach of current fabrication technology. The charge density in the cell is very highly polarized (aligned) along one of the two cell axes, suggestive of a two-state CA. The polarization of one cell induces a polarization in a neighboring cell through the Coulomb interaction in a very non-linear fashion. Quantum cellular automata can perform useful computing. We show that AND gates, OR gates, and inverters can be constructed and interconnected.
Author Lent, C S
Bernstein, G H
Tougaw, P D
Porod, W
Author_xml – sequence: 1
  fullname: Lent, C S
– sequence: 2
  fullname: Tougaw, P D
– sequence: 3
  fullname: Porod, W
– sequence: 4
  fullname: Bernstein, G H
BackLink http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=4777781$$DView record in Pascal Francis
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Cites_doi 10.1063/1.108848
10.1103/PhysRevLett.68.1371
10.1063/1.348994
10.1116/1.584545
10.1103/PhysRevLett.58.1792
10.1063/1.2811186
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Issue 1
Keywords Inverting device
Cellular automaton
Nanosecond
Logic array
Integrated circuit
Quantum effect
Modeling
Language English
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References 13
see Kirk W P (2) 1992
Toffoli T (12) 1987
Randall J N (4) 1989; B7
Landauer R (6) 1989; 42
Ferry D K (1) 1988
Bate R T (3) 1977; 22
A one-dimensional treatment is given at length in Morrison M (11) 1976
Ferry D K (5) 1991
7
8
The edge-driven paradigm proposed here is to be distinguished from conventional systolic architectures. In systolic arrays (9)
10
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  ident: 11
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  doi: 10.1103/PhysRevLett.68.1371
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  ident: 5
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  doi: 10.1063/1.348994
– volume: B7
  start-page: 1398
  year: 1989
  ident: 4
  publication-title: J. Vac. Sci. Technol.
  doi: 10.1116/1.584545
– ident: 10
  doi: 10.1103/PhysRevLett.58.1792
– volume: 22
  start-page: 407
  issn: 0003-0503
  year: 1977
  ident: 3
  publication-title: Bull. Am. Phys. Soc.
– year: 1992
  ident: 2
– volume: 42
  start-page: 119
  issn: 0031-9228
  year: 1989
  ident: 6
  publication-title: Phys. Today
  doi: 10.1063/1.2811186
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  ident: 1
– year: 1987
  ident: 12
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Snippet We formulate a new paradigm for computing with cellular automata (CAS) composed of arrays of quantum devices - quantum cellular automata. Computing in such a...
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SubjectTerms Applied sciences
Electronics
Exact sciences and technology
Integrated circuits
Integrated circuits by function (including memories and processors)
Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices
Title Quantum cellular automata
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