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Vol 37, No 6 (2016)

Article

Entropic and Information Inequalities for Indivisible Qudit Systems*

Man’ko M.A.

Abstract

We present the idea that in both classical and quantum systems all correlations available for composite multipartite systems, e.g., bipartite systems, exist as “hidden correlations” in indivisible (noncomposite) systems. The presence of correlations is expressed by entropic-information inequalities known for composite systems like the subadditivity condition. We show that the mathematically identical subadditivity condition and the mutual information nonnegativity are available as well for noncomposite systems like a single-qudit state. We demonstrate an explicit form of the subadditivity condition for a qudit with j = 2 or the five-level atom. We consider the possibility to check the subadditivity condition (entropic inequality) in experiments where such a system is realized by the superconducting circuit based on Josephson-junction devices.

Journal of Russian Laser Research. 2016;37(6):533-543
pages 533-543 views

Continuous Sets of Dequantizers and Quantizers for One-Qubit States*

Adam P., Andreev V.A., Isar A., Man’ko M.A., Man’ko V.I.

Abstract

We show the star-product quantization procedure for spin-1/2 particles (qubits) employing the construction of a pair of operators – dequantizers and quantizers. We present an explicit description of all minimal systems of such dequantizers and quantizers and discuss their relation to the probability representation of spin states where the fair probability distribution is identified with the spin states. We give some examples and discuss the possibility of constructing a symplectic structure in the finite-dimensional phase space.

Journal of Russian Laser Research. 2016;37(6):544-555
pages 544-555 views

A Classical Analog of Random Quantum States

Sych D.

Abstract

We examine the statistical properties of a pure quantum state randomly chosen with respect to the uniform measure in a Hilbert space. Namely, we consider the distribution of outcomes of a fixed measurement performed on the random quantum state. We show that such distribution is completely analogous to the distribution of measurement outcomes of an a priori unknown classical random system. In particular, Shannon entropies of both distributions coincide. We study this correspondence between quantum and classical random systems and clarify its origin.

Journal of Russian Laser Research. 2016;37(6):556-561
pages 556-561 views

The Dynamics of Quantum Correlations in Mixed Classical Environments

Javed M., Khan S., Ullah S.A.

Abstract

We present a comparative study of the dynamics of entanglement and quantum discord in a bipartite system in the presence of mixed classical noises. In particular, the joint effects of three different types of classical noises, namely, random telegraphic noise (RTN), Ornstein–Uhlenbeck noise (OU), and static noise, are studied by combining them in two different ways. In each case, one marginal system is coupled with random telegraphic noise, and the other marginal system is coupled with either OU or static noise. We make a comparison between the behaviors of both correlations in the two setups. In the weak coupling regime, the qualitative behavior of entanglement is unaffected by switching the coupling of only one marginal system from OU to static noise, and vice versa. However, the behavior of quantum discord strongly depends on whether it is coupled with OU or static noise. On the other hand, in the strong coupling regime, the static noise is more fatal to the survival of both correlations as compared to the other two noises.

Journal of Russian Laser Research. 2016;37(6):562-571
pages 562-571 views

Generalized Concurrence and Negativity in Time-Dependent C3C5 = C15 Dimensional Ionic–Phononic Systems

Dermez R.

Abstract

We investigate the entanglement of a trapped three-level ion interacting with two vibrational phonons, which form a fifteen-dimensional Hilbert space. We reveal analytic formulas describing both the concurrence and negativity. We show that, in such a system, a higher degree of entanglement with a concurrence of 0.999 and a negativity of 0.499 can be attained at a specific time of 16.9 fs. Derived expressions of concurrence and negativity include first-order terms in the interaction picture. Finally, an explicit solution for first-order terms shows that the amount of concurrence can be tuned between 0 and 1.0, while the amount of negativity changes between 0 and 0.5.

Journal of Russian Laser Research. 2016;37(6):572-580
pages 572-580 views

Information Processing Using Three-Qubit and Qubit–Qutrit Encodings of Noncomposite Quantum Systems

Popov A., Kiktenko E., Fedorov A., Man’ko V.I.

Abstract

We study quantum information properties of a seven-level system realized by a particle in a onedimensional square-well trap and discuss the features of encodings of seven-level systems in a form of three-qubit or qubit–qutrit systems. We use the three-qubit encoding of the system in order to investigate the subadditivity and strong subadditivity conditions for the particle’s thermal state. We employ the qubit–qutrit encoding to suggest a single qudit algorithm for calculating the parity of a bit string. The results obtained indicate on the potential resource of multilevel systems for realization of quantum information processing.

Journal of Russian Laser Research. 2016;37(6):581-590
pages 581-590 views

Weighted Information and Weighted Entropic Inequalities for Qutrit States

Man’ko V.I., Seilov Z.

Abstract

We review the notion of weighted quantum entropy and consider the weighted quantum entropy for bipartite and noncomposite quantum systems. We extend the subadditivity condition, the inequality known for the weighted entropy information, to the case of indivisible qudit system, such as a qutrit. We discuss the new inequality for the qutrit density matrix for different weights and states, as well as the role of weighted entropy with respect to nonlinear quantum channels.

Journal of Russian Laser Research. 2016;37(6):591-597
pages 591-597 views

Double-Arched LDA Stagger-Pumped Electro-Optic Q-Switched Nd:YAG Green Laser Using KTP Double-Crystal Extracavity Frequency Doubling

Yue L., Xinyu C., Yongji Y., Chao W., Guangyong J.

Abstract

We develop a laser utilizing second harmonic generation that exhibits both high single-pulse energy and high beam quality. The system starts with a double-arched laser-diode-array stagger-pumped electro-optic Q-switched Nd:YAG with a thermal lensing compensated convex-concave resonator. The 1,064 nm output beam is then frequency doubled in an extracavity KTP double-crystal assembly that offsets birefringence walk-off. We obtain a maximum single-pulse energy of 72.7 mJ at 532 nm with 176 mJ at 1,064 nm. The corresponding optical-to-optical conversion efficiency is 41.3%, and the pulse width is 9.2 ns at a repetition rate of 20 Hz. The beam quality factor M2 is 1.83 in both horizontal and vertical directions at the maximum output energy, and the energy stability is better than 3% across half an hour.

Journal of Russian Laser Research. 2016;37(6):598-603
pages 598-603 views

Mesoporous Photonic-Crystal Films for Amplification and Filtering of Electromagnetic Radiation

Gorelik V.S., Pudovkin A.V., Filatov V.V.

Abstract

We consider optical properties of mesoporous aluminum-oxide-based photonic crystal films, derive the dispersion relation for electromagnetic waves, obtain the effective refractive index of the photonic crystal, and determine group velocities and effective masses of photons and polaritons in the mesoporous media. We compare the reflection spectra calculated with the experimental results. We discuss the potential for using mesoporous photonic-crystal films as amplifiers of electromagnetic radiation, high-efficiency selective mirrors, and optical filters.

Journal of Russian Laser Research. 2016;37(6):604-610
pages 604-610 views

Effect of the Scanning Step on the Surface Quality of Microdevices in Femtosecond-Laser Micromachining and its Optimization

Pan X., Tu D., Cai J.

Abstract

Direct writing technique is usually used in femtosecond-laser two-photon micromachining. The size of the scanning step has important influence on the surface quality and machining efficiency of microdevices. According to the mechanism of two-photon polymerization combining the distribution function of the light intensity and the free-radical-concentration theory, we establish the mathematical model of coverage of solidification unit and analyze the effect of coverage on the machining quality and efficiency of microdevices. Using the principle of exposure equivalence, we also obtain the analytic expression of the relationship between the surface-quality characteristic parameters of microdevices and the scanning step and carry out the numerical simulation and experiment. The results show that the scanning step has little influence on the surface quality of the line when it is much smaller than the size of the solidification unit. However, when the scanning step is gradually increasing, the smoothness of the line surface is reduced rapidly, and the surface quality becomes worse drastically. For stereo-device processing with different slopes, we propose a kind three-dimensional continuous-variable scanning method and provide the calculation expression of the scanning step. From the experimental example of fabricating a spherical structure, we show that, compared with the fixed-step scanning method, the continuous-variable scanning-step method should be used to improve the surface quality of microdevices.

Journal of Russian Laser Research. 2016;37(6):611-622
pages 611-622 views

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