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Publications Influence

The computer as a physical system: A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines

- P. Benioff
- Physics
- 1980

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 HamiltonianHNQ… Expand

666 20

QUANTUM ROBOTS AND ENVIRONMENTS

- P. Benioff
- Physics
- 26 February 1998

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 quantum… Expand

67 7- PDF

Quantum Mechanical Models of Turing Machines That Dissipate No Energy

- P. Benioff
- Physics
- 7 June 1982

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 the… Expand

236 6

Space Searches with a Quantum Robot

- P. Benioff
- Computer Science, Physics
- 15 February 2000

TLDR

53 5- PDF

Quantum mechanical hamiltonian models of turing machines

- P. Benioff
- Mathematics
- 1 November 1982

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

232 3- PDF

New Gauge Field from Extension of Space Time Parallel Transport of Vector Spaces to the Underlying Number Systems

- P. Benioff
- Physics
- 18 August 2010

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 choose… Expand

13 3- PDF

Models of Quantum Turing Machines

- P. Benioff
- Physics
- 28 August 1997

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 to… Expand

17 2- PDF

Quantum mechanical Hamiltonian models of discrete processes that erase their own histories: Application to Turing machines

- P. Benioff
- Mathematics
- 1 April 1982

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

97 1

Cosmic-Ray Production Rate and Mean Removal Time of Beryllium-7 from the Atmosphere

- P. Benioff
- Physics
- 15 November 1956

34 1

Quantum Mechanical Hamiltonian Models of Computers a

- P. Benioff
- Physics
- 1 December 1986

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 energy… Expand

39 1