Preparation and study of the entanglement of the Schrödinger cat state on the ibmq-melbourne quantum computer

Kuzmak, A. R.; Tkachuk, V. M.

doi:10.5488/cmp.23.43001

Cited by 10 publications

(6 citation statements)

References 16 publications

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“…In papers [16][17][18][19], the protocols for measuring the mean value of spin-1/2 on a quantum computer are considered.…”

Section: Simulating a Spin-1 On A Quantum Computermentioning

confidence: 99%

“…Another method allows us to determine the geometry measure of entanglement by the mean value of spin [15] in the case of pure [16] and mixed [17] quantum states prepared on the quantum computers. These method was used for measurement the value of entanglement of the Schrödinger cat state [18] and graph states of spin system generated by the Ising interaction [19,20] prepared on the IBM's quantum computers. One of the most important problem which can be solved by the quantum computers is determination of the energy levels of quantum systems.…”

Section: Introductionmentioning

confidence: 99%

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Probing mean values and correlations of high-spin systems on a quantum computer

Kuzmak¹,

Tkachuk²

2022

Preprint

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We consider simulation of the high spins on a quantum computer. The protocols which allow one to measure the mean value of spin and correlations between spins are proposed. As a result, we determine the time-dependence of the mean values of spin-1 in the magnetic field prepared on the ibmq-santiago quantum computer. In addition, we study the evolution of two interacting spins on the ibmq-santiago quantum computer. The time-dependencies of mean value of spin-1 and correlations between these spins are detected. Finally, we generalize these protocols for the spins of an arbitrary values.

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“…In papers [16][17][18][19], the protocols for measuring the mean value of spin-1/2 on a quantum computer are considered.…”

Section: Simulating a Spin-1 On A Quantum Computermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Probing mean values and correlations of high-spin systems on a quantum computer

Kuzmak¹,

Tkachuk²

2022

Preprint

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“…There are following systems that are used for this purpose: polarized photons [14,5,8,9], nuclear and electronic spins of atoms [15,16,17,18,19], superconducting qubits [20,21,22,23], trapped ions [24,25,26,27,28], ultracold atoms [29,30,31], etc. In the last years, the preparation of entangled states and their application to the algorithms of quantum information is also widely studied on quantum computers [32,33,34,35,36,37,38,39].…”

Section: Introductionmentioning

confidence: 99%

Entanglement of the Ising–Heisenberg diamond spin- 1/2 cluster in evolution

Kuzmak

2023

J. Phys. A: Math. Theor.

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In the last two decades, magnetic, thermodynamic properties and bipartite thermal entanglement in diamond spin clusters and chainshave been studied. Such spin structures are presented in various compounds. The ions of $Cu^{2+}$ in the natural mineral azurite are arranged in a diamond spin chain. There are no studies of the entanglement behaviour during the quantum evolution of such systems. Herein, we consider the evolution of entanglement in the diamond spin-1/2 cluster. This cluster consists of two central spins described by the anisotropic Heisenberg model, which interact with two side spins via Ising interaction. The influence of the interaction coupling with side spins on the entanglement of central spins is investigated. It is shown that choosing the value of this coupling allows us to control the behaviour of entanglement between central spins. As a result, we find conditions for achieving the maximal values of entanglement. In addition, the entanglement behaviour between the side spins, central and side spins, and between a certain spin and the rest of the system is studied. In these cases, the conditions for achieving maximal entanglement are also obtained.

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“…Studies of entanglement of quantum states and its quantifying on a quantum computer have received much attention (see, for instance, [1,2,3,4,5,6,7,8,9,10,11,12,13,14] and references therein). Entanglement corresponds to non-classical correlations between the subsystems and presupposes that the state of a system cannot be factorized [1].…”

Section: Introductionmentioning

confidence: 99%

Geometric measure of entanglement of multi-qubit graph states and its detection on a quantum computer

Gnatenko,

Susulovska

2021

Preprint

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Multi-qubit graph states generated by the action of controlled phase shift operators on a separable quantum state of a system, in which all the qubits are in arbitrary identical states, are examined. The geometric measure of entanglement of a qubit with other qubits is found for the graph states represented by arbitrary graphs. The entanglement depends on the degree of the vertex representing the qubit, the absolute values of the parameter of the phase shift gate and the parameter of state the gate is acting on. Also the geometric measure of entanglement of the graph states is quantified on the quantum computer ibmq athens. The results obtained on the quantum device are in good agreement with analytical ones.

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Preparation and study of the entanglement of the Schrödinger cat state on the ibmq-melbourne quantum computer

Cited by 10 publications

References 16 publications

Probing mean values and correlations of high-spin systems on a quantum computer

Probing mean values and correlations of high-spin systems on a quantum computer

Entanglement of the Ising–Heisenberg diamond spin- 1/2 cluster in evolution

Geometric measure of entanglement of multi-qubit graph states and its detection on a quantum computer

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