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Principles of the new quantum cryptography protocols building
The main aim of the quantum cryptography protocols is the maximal secrecy under the conditions of the real experiment. This work presents the result...
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Symplectic structure of quantum phase and stochastic simulation of qubits
Starting with the projective interpretation of the Hilbert space special stochastic representation of the wave function in Quantum Mechanics (QM),...
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Reconstruction of quantum well potentials
The intertwining operator technique is applied to the generalized Schrödinger equation with a position-dependent effective mass. It is shown on...
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Multi-mode squeezing in micro-structured nonlinear media
We analyse the spectral properties of both squeezed light and twin-photon states produced in pulsed parametric down-convesion in microstructured...
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Antisymmetrization procedure of identical fermions states
An efficient procedure for antisymmetrization of an arbitrary system of identical fermions is presented. The approach is based on a simple...
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Quantum entanglement in second quantized fermion systems
In this communication we consider the zero temperature properties of entanglement in free and interacting fermion systems following Bogoliubov’s...
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Quantum fidelity of Gaussian states in open systems
Using the expression of the fidelity for the most general Gaussian quantum states, the behaviour of the quantum fidelity is described for the states...
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Quantum information transmission between two qubits through an intermediary photon gas
The theory of the quantum information transmission between two semiconductor two-level quantum dots as two qubits through an intermediary photon gas...
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EPR light beams and non-Gaussian quantum distributions in the time domain
We investigate time-dependent properties of Einstein-Podolsky-Rosen (EPR) light beams generated in nondegenerate optical parametric oscillator (NOPO)...
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An application of computer algebra system Cadabra to scientific problems of physics
In this article we present two examples solved in a new problem-oriented computer algebra system Cadabra. Solution of the same examples in widespread...
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Application of two-spinor calculus in quantum mechanical and field calculations
This paper describes Lorentz two-spinors and proposes using them in calculations with Dirac four-spinors and quaternions.
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A mathematica program for constructing quantum circuits and computing their unitary matrices
In this paper we briefly describe a Mathematica program for simulation of quantum circuits and illustrate some of its facilities by simple examples....
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Geometrization of quantum physics
It is shown that the Dirac equation for free particle can be considered as a description of specific distortion of the space euclidean geometry...
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Spatial entanglement and sub-wavelength structures in atomic deflection
The deflection of V -level atomic beam in two mode quantized cavity field in a twin-photon state is investigated. Depending on the atom-light...
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Two interacting spins in external fields and application to quantum computation
We study the four-level-system given by two quantum dots immersed in a time-dependent magnetic field, which are coupled to each other by an effective...
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Stokes-anti-Stokes entanglement in stimulated Raman scattering
A cavity model of Raman scattering from phonons by an undepleted laser field is considered. The fields in the interaction are coupled to the boson...
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Multi-layer evolution schemes for the finite-dimensional quantum systems in external fields
The operator-difference multi-layer (ODML) schemes for solving the time-dependent Schrödinger equation (TDSE) till six order accuracy by a time step...
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Symmetry entanglement in polarization biphoton optics
We study kinematic and dynamic ways of forming entangled states of quantum light fields due to their local and global polarization SU (2) symmetries....
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An algorithmic approach to solving polynomial equations associated with quantum circuits
In this paper we present two algorithms for reducing systems of multivariate polynomial equations over the finite field F 2 to the canonical...
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Possible implementation of CNOT and CCNOT gates
The quantum optical gate CCNOT based on five level atomic scheme is discussed. The qubits are encoded in polarization properties of three optical...