Suggestion of modifications of finite-dimensional quantum-electrodynamic (QED) models are propose... more Suggestion of modifications of finite-dimensional quantum-electrodynamic (QED) models are proposed for interpreting chemical reactions in terms of artificial atoms and molecules on quantum dots placed in optical cavities. Moving both photons and atoms is possible between the cavities. Super dark states of diatomic systems are described, in which the motion of atoms between cavities is impossible due to quantum interference. Chemical processes with two level atoms and three level atoms with lambda spectrum are schematically modeled by solving the single quantum master equation with the Lindblad operators of photon leakage from the cavity and influx into it; association and dissociation reactions then differ only in the initial states. An example is given of the optical interpretation of the transition of an electron from atom to atom in terms of the multilevel Tavis-Cummings-Hubbard model with an estimate of the accuracy. Polyatomic chemical reactions are too complex for accurate mod...
An example of a one-way distributed computation is given in which the use of entangled states of ... more An example of a one-way distributed computation is given in which the use of entangled states of two photons to synchronize processes gives a benefit. The process of assembling polymer chains at two remote points is considered; the quality of the assembly is determined when they are superimposed on each other. The effect of using entangled states is almost 14 percents.
We studied full revivals of quantum states in the Jaynes-Cannings model. It is proved that in the... more We studied full revivals of quantum states in the Jaynes-Cannings model. It is proved that in the case of zero detuning in subspaces generated by two adjacent pairs of energy levels, full revival of the subspace does not exist for any values of the parameters. In the case of non-zero detuning on the contrary, the set of parameters that allows full revival of such subspaces is dense as the subset of all parameters. The nature of these revivals differs from Rabi oscillations in subspaces of a single pair of energy. In more complex subspaces the presence of full revival is reduced to particular cases of 10-th Hilbert problem for rational solutions of systems of nonlinear algebraic equations, which has no algorithmic solution in general case.
We discuss the possibility to modify many-body Hilbert quantum formalism that is necessary for th... more We discuss the possibility to modify many-body Hilbert quantum formalism that is necessary for the representation of quantum systems dynamics. The notion of effective classical algorithm and visualization of quantum dynamics play the key role.
... (8) By Kε we denote the set of all quantum amplitudes in the region of interest with referenc... more ... (8) By Kε we denote the set of all quantum amplitudes in the region of interest with reference to their coordinates and velocities ... from the way in which we treated the Born rule in Sec-tion 2. Nevertheless, it does not affect our interpretation of the ... The following comment is in order ...
This article focuses on the approach to biology in terms of quantum mechanics. Quantum biology is... more This article focuses on the approach to biology in terms of quantum mechanics. Quantum biology is a hypothesis that allows experimental verification, and pretends to be a further refinement of the known gene-centric model. The state of the species is represented as the state vector in the Hilbert space, so that the evolution of this vector is described by means of quantum mechanics. Experimental verification of this hypothesis is based on the accuracy of quantum theory and the ability to quickly gather statistics when working with populations of bacteria. The positive result of such experiment would allow to apply to the living computational methods of quantum theory, which has not yet go beyond the particular "quantum effects".
Abstract. We represent some arguments for the possibility to embed quantum physics to the special... more Abstract. We represent some arguments for the possibility to embed quantum physics to the special algorithmic container which permits to extend its methods to the dynamics of thousands of particles. The key role is played by the absolute decoherence model in ...
ABSTRACT We study a realistic quantum computational model with the permanent interaction of diago... more ABSTRACT We study a realistic quantum computational model with the permanent interaction of diagonal type between qubits. Its universality was proven in quant-ph/0202030. We propose two types of control over computations: random and periodical NOTs. The slowdown of computations in comparison with the abstract model is estimated. It is shown how fermionic computations can be implemented in the framework of this model.
International Conference on Micro- and Nano-Electronics 2014, 2014
ABSTRACT We describe an approach to quantum computer inspired by the information processing at th... more ABSTRACT We describe an approach to quantum computer inspired by the information processing at the molecular level in living cells. It is based on the separation of a small ensemble of qubits inside the living system (e.g., a bacterial cell), such that coherent quantum states of this ensemble remain practically unchanged for a long time. We use the notion of a quantum kernel to describe such an ensemble. Quantum kernel is not strictly connected with certain particles; it permanently exchanges atoms and molecules with the environment, which makes quantum kernel a virtual notion. There are many reasons to expect that the state of quantum kernel of a living system can be treated as the stationary state of some Hamiltonian. While the quantum kernel is responsible for the stability of dynamics at the time scale of cellular life, at the longer inter-generation time scale it can change, varying smoothly in the course of biological evolution. To the first level of approximation, quantum kernel can be described in the framework of qubit modification of Jaynes-Cummings-Hubbard model, in which the relaxation corresponds to the exchange of matter between quantum kernel and the rest of the cell and is represented as Lindblad super-operators.
A straightforward algorithm is proposed for simulating and visualizing nonrelativistic quantum dy... more A straightforward algorithm is proposed for simulating and visualizing nonrelativistic quantum dynamics in terms of the collective behavior of classical particles. In this approach, a quantum particle is treated as a swarm (collection) of its classical samples interacting with one another by simple rules involving the emission and absorption of associated photons. The quantum dynamics is regarded as resulting from
A model of entangled quantum states of many bodies using tuples consisting of samples of indi vid... more A model of entangled quantum states of many bodies using tuples consisting of samples of indi vidual real particles is proposed. This approach generalizes Bohm's method for complex systems. The dynamics can be described both in the form of quantum hydrodynamics and in the form of dynamic diffusion which is examined in detail in this study. The latter method fundamentally differs from the choice of the grain of spatial resolution and cannot be reduced to differential equations; therefore, it requires direct simulation. The limitation on the number of samples is the fundamental factor causing decoherence, a deviation of the swarm dynamics from the exact solution to the Schrödinger equation. The model complexity is linear with respect to the number of particles.
Suggestion of modifications of finite-dimensional quantum-electrodynamic (QED) models are propose... more Suggestion of modifications of finite-dimensional quantum-electrodynamic (QED) models are proposed for interpreting chemical reactions in terms of artificial atoms and molecules on quantum dots placed in optical cavities. Moving both photons and atoms is possible between the cavities. Super dark states of diatomic systems are described, in which the motion of atoms between cavities is impossible due to quantum interference. Chemical processes with two level atoms and three level atoms with lambda spectrum are schematically modeled by solving the single quantum master equation with the Lindblad operators of photon leakage from the cavity and influx into it; association and dissociation reactions then differ only in the initial states. An example is given of the optical interpretation of the transition of an electron from atom to atom in terms of the multilevel Tavis-Cummings-Hubbard model with an estimate of the accuracy. Polyatomic chemical reactions are too complex for accurate mod...
An example of a one-way distributed computation is given in which the use of entangled states of ... more An example of a one-way distributed computation is given in which the use of entangled states of two photons to synchronize processes gives a benefit. The process of assembling polymer chains at two remote points is considered; the quality of the assembly is determined when they are superimposed on each other. The effect of using entangled states is almost 14 percents.
We studied full revivals of quantum states in the Jaynes-Cannings model. It is proved that in the... more We studied full revivals of quantum states in the Jaynes-Cannings model. It is proved that in the case of zero detuning in subspaces generated by two adjacent pairs of energy levels, full revival of the subspace does not exist for any values of the parameters. In the case of non-zero detuning on the contrary, the set of parameters that allows full revival of such subspaces is dense as the subset of all parameters. The nature of these revivals differs from Rabi oscillations in subspaces of a single pair of energy. In more complex subspaces the presence of full revival is reduced to particular cases of 10-th Hilbert problem for rational solutions of systems of nonlinear algebraic equations, which has no algorithmic solution in general case.
We discuss the possibility to modify many-body Hilbert quantum formalism that is necessary for th... more We discuss the possibility to modify many-body Hilbert quantum formalism that is necessary for the representation of quantum systems dynamics. The notion of effective classical algorithm and visualization of quantum dynamics play the key role.
... (8) By Kε we denote the set of all quantum amplitudes in the region of interest with referenc... more ... (8) By Kε we denote the set of all quantum amplitudes in the region of interest with reference to their coordinates and velocities ... from the way in which we treated the Born rule in Sec-tion 2. Nevertheless, it does not affect our interpretation of the ... The following comment is in order ...
This article focuses on the approach to biology in terms of quantum mechanics. Quantum biology is... more This article focuses on the approach to biology in terms of quantum mechanics. Quantum biology is a hypothesis that allows experimental verification, and pretends to be a further refinement of the known gene-centric model. The state of the species is represented as the state vector in the Hilbert space, so that the evolution of this vector is described by means of quantum mechanics. Experimental verification of this hypothesis is based on the accuracy of quantum theory and the ability to quickly gather statistics when working with populations of bacteria. The positive result of such experiment would allow to apply to the living computational methods of quantum theory, which has not yet go beyond the particular "quantum effects".
Abstract. We represent some arguments for the possibility to embed quantum physics to the special... more Abstract. We represent some arguments for the possibility to embed quantum physics to the special algorithmic container which permits to extend its methods to the dynamics of thousands of particles. The key role is played by the absolute decoherence model in ...
ABSTRACT We study a realistic quantum computational model with the permanent interaction of diago... more ABSTRACT We study a realistic quantum computational model with the permanent interaction of diagonal type between qubits. Its universality was proven in quant-ph/0202030. We propose two types of control over computations: random and periodical NOTs. The slowdown of computations in comparison with the abstract model is estimated. It is shown how fermionic computations can be implemented in the framework of this model.
International Conference on Micro- and Nano-Electronics 2014, 2014
ABSTRACT We describe an approach to quantum computer inspired by the information processing at th... more ABSTRACT We describe an approach to quantum computer inspired by the information processing at the molecular level in living cells. It is based on the separation of a small ensemble of qubits inside the living system (e.g., a bacterial cell), such that coherent quantum states of this ensemble remain practically unchanged for a long time. We use the notion of a quantum kernel to describe such an ensemble. Quantum kernel is not strictly connected with certain particles; it permanently exchanges atoms and molecules with the environment, which makes quantum kernel a virtual notion. There are many reasons to expect that the state of quantum kernel of a living system can be treated as the stationary state of some Hamiltonian. While the quantum kernel is responsible for the stability of dynamics at the time scale of cellular life, at the longer inter-generation time scale it can change, varying smoothly in the course of biological evolution. To the first level of approximation, quantum kernel can be described in the framework of qubit modification of Jaynes-Cummings-Hubbard model, in which the relaxation corresponds to the exchange of matter between quantum kernel and the rest of the cell and is represented as Lindblad super-operators.
A straightforward algorithm is proposed for simulating and visualizing nonrelativistic quantum dy... more A straightforward algorithm is proposed for simulating and visualizing nonrelativistic quantum dynamics in terms of the collective behavior of classical particles. In this approach, a quantum particle is treated as a swarm (collection) of its classical samples interacting with one another by simple rules involving the emission and absorption of associated photons. The quantum dynamics is regarded as resulting from
A model of entangled quantum states of many bodies using tuples consisting of samples of indi vid... more A model of entangled quantum states of many bodies using tuples consisting of samples of indi vidual real particles is proposed. This approach generalizes Bohm's method for complex systems. The dynamics can be described both in the form of quantum hydrodynamics and in the form of dynamic diffusion which is examined in detail in this study. The latter method fundamentally differs from the choice of the grain of spatial resolution and cannot be reduced to differential equations; therefore, it requires direct simulation. The limitation on the number of samples is the fundamental factor causing decoherence, a deviation of the swarm dynamics from the exact solution to the Schrödinger equation. The model complexity is linear with respect to the number of particles.
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