Cellular quantum computer architecture

Karafyllidis, Ioannis

doi:10.1016/j.physleta.2003.11.001

Cited by 12 publications

(6 citation statements)

References 7 publications

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“…tion towards the construction of a general quantum mechanical model for information processing in biosystems. A model for the information transfer from DNA to protein using quantum information and quantum computation techniques (Nielsen and Chuang, 2000;Karafyllidis, 2003Karafyllidis, , 2004Karafyllidis, , 2005 is developed and presented here.…”

Section: Introductionmentioning

confidence: 99%

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Quantum mechanical model for information transfer from DNA to protein

Karafyllidis¹

2008

Biosystems

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A model for the information transfer from DNA to protein using quantum information and computation techniques is presented. DNA is modeled as the sender and proteins are modeled as the receiver of this information. On the DNA side, a 64-dimensional Hilbert space is used to describe the information stored in DNA triplets (codons). A Hamiltonian matrix is constructed for this space, using the 64 possible codons as base states. The eigenvalues of this matrix are not degenerate. The genetic code is degenerate and proteins comprise only 20 different amino acids. Since information is conserved, the information on the protein side is also described by a 64-dimensional Hilbert space, but the eigenvalues of the corresponding Hamiltonian matrix are degenerate. Each amino acid is described by a Hilbert subspace. This change in Hilbert space structure reflects the nature of the processes involved in information transfer from DNA to protein.

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Section: Introductionmentioning

confidence: 99%

“…A model for the information transfer from DNA to protein using quantum information and quantum computation techniques (Nielsen and Chuang, 2000;Karafyllidis, 2003;Karafyllidis, 2004;Karafyllidis, 2005) is developed and presented here.…”

Section: Introductionmentioning

confidence: 99%

Quantum mechanical model for information transfer from DNA to protein

Karafyllidis¹

2008

Biosystems

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“…In the second phase a two-input quantum gate or a combination of quantum gates is applied to the c-qubit and the s-qubit in each cell allowing thus the information flow in the QCA lattice and simultaneous change of all s-qubit states. The evolution of QCAs with two qubits per cell is studied using a quantum computer simulator developed by the author [13][14]. The linearity of QCA evolution manifests itself as a possible structure in the probability distribution patterns.…”

Section: Introductionmentioning

confidence: 99%

Definition and evolution of quantum cellular automata with two qubits per cell

Karafyllidis

2004

Phys. Rev. A

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Studies of quantum computer implementations suggest cellular quantum computer architectures. These architectures can simulate the evolution of quantum cellular automata, which can possibly simulate both quantum and classical physical systems and processes. It is however known that except for the trivial case, unitary evolution of one-dimensional homogeneous quantum cellular automata with one qubit per cell is not possible. Quantum cellular automata that comprise two qubits per cell are defined and their evolution is studied using a quantum computer simulator. The evolution is unitary and its linearity manifests itself as a periodic structure in the probability distribution patterns.

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“…In this paper the entanglement generation and variation is studied using a quantum computer simulator. This simulator was developed by the author and has been used for the visualization of the quantum Fourier transform [13] and for the simulation of cellular quantum computer architecture [14]. The simulator has been extended in order to include calculations and graphical representations of entanglement generation and variation in quantum computations.…”

Section: Introductionmentioning

confidence: 99%

Simulation of entanglement generation and variation in quantum computation

Karafyllidis

2004

Journal of Computational Physics

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Cellular quantum computer architecture

Cited by 12 publications

References 7 publications

Quantum mechanical model for information transfer from DNA to protein

Quantum mechanical model for information transfer from DNA to protein

Definition and evolution of quantum cellular automata with two qubits per cell

Simulation of entanglement generation and variation in quantum computation

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