25 citations · 145 across the 23 of their papers we have counts for
23 papers
Analytical Investigation of Two-Spin Entanglement Generated by Different Types of Bosonic Environments
A. I. Smetana, A. R. Kuzmak
Due to the rapid development of research in the field of quantum physics and quantum information over the past decades, the need to study physical models that can effectively imple…
Quantum Hamiltonian simulation of linearised Euler equations in complex geometries
Vladyslav Bohun, Andrij Kuzmak, Maciej Koch-Janusz
Quantum computing promises exponential improvements in solving large systems of partial differential equations (PDE), which forms a bottleneck in high-resolution simulations of, am…
Entanglement of a spin-1/2 Ising-Heisenberg diamond spin cluster in the thermal bosonic bath
A. R. Kuzmak
With the rapid development of quantum information over the last decade, there is a growing need to identify physical systems that can effectively implement quantum computing. One s…
Detecting the purely imaginary Fisher zeros of an Ising spin system on a quantum computer
A. R. Kuzmak, V. M. Tkachuk
We propose a protocol for studying the purely imaginary Fisher zeros of the Ising model on a quantum computer. Our protocol is based on the direct relation between the partition fu…
Preparation of two-qubit entangled states on a spin-1/2 Ising-Heisenberg diamond spin cluster by controlling the measurement
A. R. Kuzmak
The preparation of entangled quantum states is an inherent and indispensable step for the implementation of many quantum information algorithms. Depending on the physical system, t…
Entanglement of the Ising-Heisenberg diamond spin-1/2 cluster in evolution
A. R. Kuzmak
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 prese…
Probing mean values and correlations of high-spin systems on a quantum computer
A. R. Kuzmak, V. M. Tkachuk
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 re…
Capacitive energy storage in single-file pores: Exactly-solvable models and simulations
Taras Verkholyak, Andrij Kuzmak, Svyatoslav Kondrat
Understanding charge storage in low-dimensional electrodes is crucial for developing novel ecologically friendly devices for capacitive energy storage and conversion, water desalin…
Measuring distance between quantum states on a quantum computer
A. R. Kuzmak
We propose protocols for determining the distances in Hilbert space between pure and mixed quantum states prepared on a quantum computer. In the case of pure quantum states, the pr…
Measuring entanglement of a rank-2 mixed state prepared on a quantum computer
A. R. Kuzmak, V. M. Tkachuk
We study the entanglement between a certain qubit and the remaining system in rank- 2 mixed states prepared on the quantum computer. The protocol, which we propose for this purpose…
Detecting entanglement by the mean value of spin on a quantum computer
A. R. Kuzmak, V. M. Tkachuk
We implement a protocol to determine the degree of entanglement between a qubit and the rest of the system on a quantum computer. The protocol is based on results obtained in paper…
Implementation of a two-qubit state by an auxiliary qubit on the three-spin system
A. R. Kuzmak
The method for preparation of a two-qubit state on two spins-1/2 that mutually interact through an auxiliary spin is proposed. The essence of the method is that, initially, the thr…
Probing the Lee-Yang zeros of a spin bath by correlation functions and entanglement of two spins
A. R. Kuzmak, V. M. Tkachuk
We study the Lee-Yang zeros of the ferromagnetic Ising bath via the interaction with the two probe spins. Similarly as in paper [Bo-Bo Wei, Ren-Bao Liu, Phys. Rev. Lett. 109, 18570…
Derivation of the robustness from the concurrence
Yu. S. Krynytskyi, A. R. Kuzmak
Adding the maximally mixed state with some weight to the entanglement system leads to disentanglement of the latter. For each predefined entangled state there exists a minimal valu…
Detecting the Lee-Yang zeros of a high-spin system by the evolution of probe spin
A. R. Kuzmak, V. M. Tkachuk
Recently in paper [Peng et al., Phys. Rev. Lett. 114, 010601 (2015)] the experimental observation of the Lee-Yang zeros of an Ising-type spin-1/2 bath, by measuring the coherence o…
Preparation of an arbitrary two-qubit quantum gate on two spins with an anisotropic Heisenberg interaction
A. R. Kuzmak
We consider the two-step method [A. R. Kuzmak and V. M. Tkachuk, Phys. Lett. A 378 (2014) 1469] for preparation of an arbitrary quantum gate on two spins with anisotropic Heisenber…
Probing the geometry of two-qubit state space by evolution
Andrzej M. Frydryszak, Maria Gieysztor, Andrij Kuzmak
We derive an explicit expressions for geometric description of state manifold obtained from evolution governed by a three parameter family of Hamiltonians covering most cases relat…
Geometry and speed of evolution for a spin-s system with long-range zz-type Ising interaction
Yu. S. Krynytskyi, A. R. Kuzmak
We study the evolution of a spin-s system described by the long-range zz-type Ising interaction. The Fubini-Study metric of the quantum state manifold defined by this evolution is…
Entanglement and quantum state geometry of spin system with all-range Ising-type interaction
A. R. Kuzmak
The evolution of spin- system with all-range Ising-type interaction is considered. For this system we study the entanglement of one spin with the rest spins. It is shown t…
Geometry of quantum state manifolds generated by the Lie algebra operators
A. R. Kuzmak
The Fubini-Study metric of quantum state manifold generated by the operators which satisfy the Heisenberg Lie algebra is calculated. The similar problem is studied for the manifold…
Quantum state geometry and entanglement of two spins with anisotropic interaction in evolution
A. R. Kuzmak
Quantum evolution of a two-spin system with anisotropic Heisenberg Hamiltonian in the magnetic field is considered. We show that this evolution happens on some manifold with geomet…
The quantum brachistochrone problem for an arbitrary spin in a magnetic field
A. R. Kuzmak, V. M. Tkachuk
We consider quantum brachistochrone evolution for a spin- system on rotational manifolds. Such manifolds are determined by the rotation of the eigenstates of the operator of pro…
Preparation of quantum states of two spin- particles in the form of the Schmidt decomposition
A. R. Kuzmak, V. M. Tkachuk
We consider a system of two spins that are coupled via an isotropic Heisenberg Hamiltonian. For the first time, a two-step method for the preparation of an arbitrary quantum state…