A Model of The Quantum Computer
Diaa A Ahmed
e-mail: diahmed@yahoo.com
Amsterdam May 1999
The model of the quantum computer is developed on the quantum set. Information is encoded in the Lie algebra of the topological group. Parallel unitary transformations are performed on the open sets and quantum interference generates quantum holographs which represent the functional integrals.
I. Introduction:
The Fourier components of the Dirac operator are defined as elements of the quantum set and then generators of the quantum topological group where coding take place are defined as the properties of the quantum logic (flavors, colors).
A matrix that simulate the group structure is developed to perform Parallel unitary transformations on phases of the waves similar to quantum interference devices function as a processor.
The device acts as quantum interferometer to generate holographs that depend on altering the phases and represent functional integrals.
Basically, is a macroscopec quantum device that might be developed on quantum interference devices, holographs, DNA and solitons.
II. The Coding:
Are the bits of information that encoded by Lie algebra in the phases ( Quantum Topodynmics ).
III. The Input Matrix ( Topological Group ):
Is developed on the Lie algebra of the generators. Can be developed as a hologram, a quantum interference device, a soliton or a DNA. Perform unitary transformations on the phases of the rays.
IV. The Processor:
The quantum interference device that performs the functional integration and the output is quantum holographs.
V. The Quantum Computer:
Is basically a functional integration device, and the output is topologically defined. Say physical law is a quantum computer; Feynman functional integral is a quantum computer.
VI. An Example:
We have a scattering experiment where we get an interference image, we work on to derive numbers that represent properties of particle. We look the other way around and use this interference image -the set of numbers- as a hologram to construct a holographic image of the particle.