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Loading Initial Data into the Quantum Register
(Wydawnictwo Politechniki Łódzkiej, 2020) Ostrowski, Marcin
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.
Quantum simulations of particle scattered by a rectangular potential
(Wydawnictwo Politechniki Łódzkiej, 2012) Ostrowski, Marcin
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).
Simulation of photon emission by an excited atom in the quantum register
(Wydawnictwo Politechniki Łódzkiej, 2021) Ostrowski, Marcin
This paper investigates whether a quantum computer can efficiently simulate the atom deexcitation process with emission of photon. An algorithm is presented for simulating of the atom-photon interaction and photon free propagation, implemented on standard two-input gates. The paper examines the properties of the proposed algorithm and then compares the obtained results with the theoretical predictions.
Simulation of Quantum Resonance in the Quantum Register
(Wydawnictwo Politechniki Łódzkiej, 2018) Ostrowski, Marcin
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.
Simulation of the Quantum Heat Engine in the Quantum Register
(Wydawnictwo Politechniki Łódzkiej, 2023) Ostrowski, Marcin
This paper investigates whether a quantum computer can efficiently simulate the transfer of excitation between a pair of quantum systems with energy loss caused by photon or phonon emission. The main contribution of our work is an algorithm that enables the simulation of time evolution of such a system, implemented on a standard two-input gates. The paper examines the properties of the proposed algorithm and then compares the obtained results with theoretical predictions.