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The computer as a physical system: A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines
In this paper a microscopic quantum mechanical model of computers as represented by Turing machines is constructed. It is shown that for each numberN and Turing machineQ there exists a HamiltonianHNQExpand
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Quantum robots and their interactions with environments of quantum systems are described, and their study justified. A quantum robot is a mobile quantum system that includes an on-board quantumExpand
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Quantum Mechanical Models of Turing Machines That Dissipate No Energy
Quantum mechanical Hamiltonian models of Turing machines are constructed here on a finite lattice of spin-\textonehalf{} systems. The models do not dissipate any energy and they operate at theExpand
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Space Searches with a Quantum Robot
  • P. Benioff
  • Computer Science, Physics
  • 15 February 2000
Quantum robots are described as mobile quantum computers and ancillary systems that move in and interact with arbitrary environments. Expand
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Quantum mechanical hamiltonian models of turing machines
Quantum mechanical Hamiltonian models, which represent an aribtrary but finite number of steps of any Turing machine computation, are constructed here on a finite lattice of spin-1/2 systems.Expand
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New Gauge Field from Extension of Space Time Parallel Transport of Vector Spaces to the Underlying Number Systems
One way of describing gauge theories in physics is to assign a vector space $\bar{V}_{x}$ to each space time point x. For each x the field ψ takes values ψ(x) in $\bar{V}_{x}$. The freedom to chooseExpand
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Models of Quantum Turing Machines
Quantum Turing machines are discussed and reviewed in this paper. Most of the paper is concerned with processes defined by a step operator T that is used to construct a Hamiltonian H according toExpand
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Quantum mechanical Hamiltonian models of discrete processes that erase their own histories: Application to Turing machines
Work done before on the construction of quantum mechanical Hamiltonian models of Turing machines and general discrete processes is extended here to include processes which erase their own histories.Expand
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Quantum Mechanical Hamiltonian Models of Computers a
Interest in the physical limitations of the computation process has been increasing in recent years.’.’ Landauer3“ has discussed this subject extensively, particularly from the viewpoint of energyExpand
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