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1
Content available remote Simulation of the excited state decay in the quantum register
Ostrowski Marcin
Przegląd Elektrotechniczny
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2020
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R. 96, nr 10
167--169
EN
This paper investigates whether a quantum computer can efficiently simulate an exponential decay of probability of finding a quantum system in an excited state. An algorithm is presented for simulating the time evolution of such a system, implemented on standard two-input gates. The paper examines the properties of the proposed algorithm and then compares the obtained results with theoretical predictions.
PL
W artykule badamy czy komputer kwantowy potrafi efektywnie symulować eksponencjalny zanik prawdopodobieństwa przebywania układu kwantowego w stanie wzbudzonym. Głównym rezultatem pracy jest algorytm, który umożliwia symulację czasową tego typu układów zaimplementowany na standardowych dwówejściowych bramkach. Badamy tutaj własności proponowanego algorytmu i porównujemy go z przewidywaniami teoretycznymi.
2
Content available remote Loading initial data into the quantum register
Ostrowski Marcin
Journal of Applied Computer Science
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2020
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Vol. 28, nr 1
39--49
EN
In this paper, we examine a simple algorithm for loading initial data into the quantum register. In order to perform the algorithm standard two input gates are used. The algorithm is tested for the Gaussian and sine wave states. In the Appendix full PyQuil code of the algorithm is attached.
3
Content available Simulation of the Schrödinger particle non-elastic scattering with emission of photon in the quantum register
Ostrowski M.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2020
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Vol. 68, nr 5
1217--1225
EN
This paper investigates whether a quantum computer can efficiently simulate the non-elastic scattering of the Schrödinger particle on a stationary excitable shield. The return of the shield to the ground state is caused by photon emission. An algorithm is presented for simulating the time evolution of such a process, implemented on standard two-input gates. The algorithm is used for the computation of elastic and non-elastic scattering probabilities. The results obtained by our algorithm are compared with those obtained using the standard Cayley’s method.
4
Content available remote Simulation of quantum resonance in the quantum register
Ostrowski M.
Journal of Applied Computer Science
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2018
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Vol. 26, nr 1
63--72
EN
In this paper, we examine whether a quantum computer can efficiently simulate resonant interaction between a pair of two-level quantum systems. We present an algorithm for simulating time evolution of such a system, implemented on standard two-input gates. We study the influence of accuracy of gates and decoherence on the quality of results.
5
Content available Quantum simulation of the tunnel effect
Ostrowski M.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2015
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Vol. 63, nr 2
379--383
EN
In this paper, we examine whether a quantum computer can efficiently simulate quantum processes such as the tunnel effect. We examine a quantum algorithm that calculates the value of transition and reflection coefficients for the Gaussian wave packet scattered on a rectangular potential. We compare the results obtained in this way with the results of classical simulations and analytical calculations.
6
Content available remote Quantum Simulation of the Pauli Particle
Ostrowski M.
Przegląd Elektrotechniczny
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2013
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R. 89, nr 7
89--91
EN
In this paper we examine whether a quantum computer can efficiently simulate Pauli particle in external magnetic field. We consider Gaussian wave packet in two cases: in uniform magnetic field and in magnetic field with rectangular amplitude. We compare the results obtained from quantum algorithm with the results of classical simulations.
PL
W niniejszej pracy badamy czy komputer kwantowy może efektywnie symulować cząstkę Pauliego w zewnętrznym polu magnetycznym. Rozważamy pakiet gaussowski w dwoch przypadkach w jednorodnym polu magnetycznym i w polu o amplitudzie prostokątnej. Porownujemy wyniki otrzymane dla algorytmu kwantowego z rezultatami symulacji klasycznej.
7
Content available remote Quantum simulations of particle scattered by a rectangular potential
Ostrowski M.
Journal of Applied Computer Science
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2012
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Vol. 20, nr 2
95-106
EN
In this paper we examine whether a quantum computer can efficiently simulate time evolution of a one dimensional Schrödinger particle. Two cases are considered: free particle and particle dispersed on a rectangular potential. In order to simulate the Schrödinger particle, we use a quantum algorithm based on the procedure of diagonalisation of time evolution operator. The procedure of diagonalisation is based on the Quantum Fourier Transform (QFT) algorithm. The effects of simulation are presented in the form of figures. We also compare the results obtained from quantum algorithm with the results of classical simulations (Cayley's method).
8
Content available remote Excited 1u(51P1) state of Cd2 and the dipole moment of the 1u(51P1)–X0g+ electronic transition
Grycuk T, Kloda T, Kubkowska M K, Kutner T
Optica Applicata
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2006
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Vol. 36, nr 4
s. 505--510
EN
The satellite band of the 228.8 nm Cd line associated with the 1u(51P1)–X0g+ electronic transition in Cd2 is measured in absorption and used for probing and correcting the excited state potential by means of quantum simulations of the spectrum. Best theoretical potential curves available are employed as the initial input data and the spectrum calculated for a single molecule is compared with the experimental spectrum of the absolute absorption coefficient per atom pair. The method yields considerable correction of the upper state potential which, finally, reproduces the experimental spectrum quite well. The dipole transition moment function is roughly determined.
9
Electron localization in liquid methanol. Quantum Path-Integral simulation
Bartczak W.M., Sopek M.
Polish Journal of Chemistry
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1998
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Vol. 72, nr 7S
1798-1825
EN
An excess electron o liquid methanol at room temperature was studied using the method of Path-Integral Molecular Dynamics simulation. A compact charge distribution of an excess electron, suggesting a localized electron state, was found. The charge distribution is centred in a cavity built of methanol according to the traditional picture of the solvated electron. Various radial distribution functions were calculated reflecting the correlations between the cavity centre or the electron charge density and the sites of the methanol molecule. The correlations are stronger than in the case of the hydrated electron. Interpretation of the radial distribution functions as well as the bond-angle distribution functions leads to a picture of 4 methanol molecules forming the solvation shell of the solvated electron. The molecules are oriented towards the centre of the electron density by the OH bonds. The coordination number of the solvated electron agree with the conclusions from electron magnetic resonance experiments.
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