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1

Zhao, Chao-Ying, Qi-Zhi Guo, and Wei-Han Tan. "A simple entanglement criterion of two-qubit system." International Journal of Modern Physics B 33, no. 18 (2019): 1950197. http://dx.doi.org/10.1142/s0217979219501972.

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Анотація:
We present a novel method to judge the entanglement of two-qubit system, the density matrix of a two-qubit system can be constituted by the principle density matrix [Formula: see text] and the separable density matrices [Formula: see text]–[Formula: see text]. The necessary and sufficient conditions for the two-qubit system, the three involved coefficients p [Formula: see text] 0, p [Formula: see text] 0, p [Formula: see text] 0, and the principal density matrix [Formula: see text] being separable, then the two-qubit system is separable, otherwise the two-qubit system is entangled. Finally, th
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2

Kato, Akihito, and Yoshitaka Tanimura. "Quantum heat transport of a two-qubit system: Interplay between system-bath coherence and qubit-qubit coherence." Journal of Chemical Physics 143, no. 6 (2015): 064107. http://dx.doi.org/10.1063/1.4928192.

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3

Khalil, E. M., and A. B. A. Mohamed. "Dynamics of entanglement and population inversion of two qubits in a hybrid nonlinear system." Modern Physics Letters A 36, no. 06 (2021): 2150037. http://dx.doi.org/10.1142/s0217732321500371.

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Анотація:
An analytical solution is obtained when the Kerr medium and Stark shift are considered as nonlinear interaction terms to the system containing two-qubit and two-mode electromagnetic field from the parametric amplifier. Dynamics of the population inversion, cavity–qubit and qubit–qubit entanglements are analyzed under the unitary cavity–qubit interaction, the Kerr medium and the Stark shift. The population inversion of a qubit presents periodic revivals and collapses. The results show that the entanglement and the population inversion as well as the inversion have the same stable intervals, tha
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4

Zhao, Chao-Ying, Qi-Zhi Guo, and Wei-Han Tan. "A novel entanglement criterion of two-qubit system." International Journal of Modern Physics B 34, no. 05 (2020): 2050022. http://dx.doi.org/10.1142/s0217979220500228.

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Анотація:
The “separability problem” in quantum information theory is a quite important and well-known hard problem. The low-dimensional system satisfies the PPT criterion. However, the high-dimensional system problem has been shown to be NP-hard problem. In general, it is very difficult to find the analytic solution of the density matrix for the high-dimensional system. Therefore, getting an analytic solution for two-qubit system is an interesting and useful problem. We propose a novel criterion for separability and entanglement-verification of two-qubit system. We expressed the density matrix by a sum
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5

ADHIKARI, SATYABRATA. "ENTANGLEMENT AND TELEPORTATION IN BIPARTITE SYSTEM." International Journal of Quantum Information 08, no. 07 (2010): 1153–67. http://dx.doi.org/10.1142/s0219749910006411.

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Анотація:
We present a mathematical formulation of old teleportation protocol (original teleportation protocol introduced by Bennett et al.) for mixed state and study in detail the role of mixedness of the two-qubit quantum channel in a teleportation protocol. We show that maximally entangled mixed state described by the density matrix of rank-4 will be useful as a two-qubit teleportation channel to teleport a single qubit mixed state when the teleportation channel parameter p1 > 1/2. Also we discuss the case when p1 ≤ 1/2.
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6

FRYDRYSZAK, ANDRZEJ M. "NILPOTENT QUANTUM MECHANICS." International Journal of Modern Physics A 25, no. 05 (2010): 951–83. http://dx.doi.org/10.1142/s0217751x10047786.

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Анотація:
We develop a generalized quantum mechanical formalism based on the nilpotent commuting variables (η-variables). In the nonrelativistic case such formalism provides natural realization of a two-level system (qubit). Using the space of η-wavefunctions, η-Hilbert space and generalized Schrödinger equation we study properties of pure multiqubit systems and also properties of some composed, hybrid models: fermion–qubit, boson–qubit. The fermion–qubit system can be truly supersymmetric, with both SUSY partners having identical spectra. It is a novel feature that SUSY transformations relate here only
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7

MAZIERO, JONAS, and ROBERTO M. SERRA. "CLASSICALITY WITNESS FOR TWO-QUBIT STATES." International Journal of Quantum Information 10, no. 03 (2012): 1250028. http://dx.doi.org/10.1142/s0219749912500281.

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Анотація:
In the last few years one realized that if the state of a bipartite system can be written as ∑i,j pij|ai〉〈ai| ⊗ |bj〉〈bj|, where {|ai〉} and {|bj〉} form orthonormal basis for the subsystems and {pij} is a probability distribution, then it possesses at most classical correlations. In this article we introduce a nonlinear witness providing a sufficient condition for classicality of correlations (absence of quantum discord) in a broad class of two-qubit systems. Such witness turns out to be necessary and sufficient condition in the case of Bell-diagonal states. We show that the witness introduced h
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8

Ntalaperas, Dimitrios, and Nikos Konofaos. "Encoding Two-Qubit Logical States and Quantum Operations Using the Energy States of a Physical System." Technologies 10, no. 1 (2021): 1. http://dx.doi.org/10.3390/technologies10010001.

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Анотація:
In this paper, we introduce a novel coding scheme, which allows single quantum systems to encode multi-qubit registers. This allows for more efficient use of resources and the economy in designing quantum systems. The scheme is based on the notion of encoding logical quantum states using the charge degree of freedom of the discrete energy spectrum that is formed by introducing impurities in a semiconductor material. We propose a mechanism of performing single qubit operations and controlled two-qubit operations, providing a mechanism for achieving these operations using appropriate pulses gene
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9

von Kugelgen, Stephen, Matthew D. Krzyaniak, Mingqiang Gu, et al. "Spectral Addressability in a Modular Two Qubit System." Journal of the American Chemical Society 143, no. 21 (2021): 8069–77. http://dx.doi.org/10.1021/jacs.1c02417.

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10

Tzemos, A. C., G. Contopoulos, and C. Efthymiopoulos. "Bohmian trajectories in an entangled two-qubit system." Physica Scripta 94, no. 10 (2019): 105218. http://dx.doi.org/10.1088/1402-4896/ab2445.

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11

Orszag, Miguel, and Maritza Hernandez. "Coherence and entanglement in a two-qubit system." Advances in Optics and Photonics 2, no. 2 (2010): 229. http://dx.doi.org/10.1364/aop.2.000229.

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12

Jakóbczyk, L., and M. Siennicki. "Geometry of Bloch vectors in two-qubit system." Physics Letters A 286, no. 6 (2001): 383–90. http://dx.doi.org/10.1016/s0375-9601(01)00455-8.

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13

Zhu, Guo-Qiang. "Off-diagonal Geometric Phase of Two-Qubit System." International Journal of Theoretical Physics 49, no. 11 (2010): 2672–79. http://dx.doi.org/10.1007/s10773-010-0459-2.

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14

Hieu, Nguyen Van, Nguyen Bich Ha, and Le Thi Ha Linh. "Quantum dynamics of a two-atom-qubit system." Journal of Physics: Conference Series 187 (September 1, 2009): 012010. http://dx.doi.org/10.1088/1742-6596/187/1/012010.

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15

Ramos, R. C., F. W. Strauch, P. R. Johnson, et al. "Capacitively coupled josephson junctions: A two-qubit system." IEEE Transactions on Appiled Superconductivity 13, no. 2 (2003): 994–1000. http://dx.doi.org/10.1109/tasc.2003.814122.

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16

Singh, Manu P., and B. S. Rajput. "Maximally Entangled States of a Two-Qubit System." International Journal of Theoretical Physics 52, no. 12 (2013): 4237–55. http://dx.doi.org/10.1007/s10773-013-1736-7.

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17

Algarni, Mariam, Kamal Berrada, Sayed Abdel-Khalek, and Hichem Eleuch. "Coherence Trapping in Open Two-Qubit Dynamics." Symmetry 13, no. 12 (2021): 2445. http://dx.doi.org/10.3390/sym13122445.

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Анотація:
In this manuscript, we examine the dynamical behavior of the coherence in open quantum systems using the l1 norm. We consider a two-qubit system that evolves in the framework of Kossakowski-type quantum dynamical semigroups (KTQDSs) of completely positive maps (CPMs). We find that the quantum coherence can be asymptotically maintained with respect to the values of the system parameters. Moreover, we show that the quantum coherence can resist the effect of the environment and preserve even in the regime of long times. The obtained results also show that the initially separable states can provid
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18

GÜN, A., and A. GENÇTEN. "THREE-QUBIT QUANTUM ENTANGLEMENT FOR SI (S = 3/2, I = 1/2) SPIN SYSTEM." International Journal of Quantum Information 09, no. 07n08 (2011): 1635–42. http://dx.doi.org/10.1142/s0219749911008313.

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Анотація:
In quantum information processing, spin-3/2 electron or nuclear spin states are known as two-qubit states. For SI (S = 3/2, I = 1/2) spin system, there are eight three-qubit states. In this study, first, three-qubit CNOT logic gates are obtained. Then three-qubit entangled states are obtained by using the matrix representation of Hadamard and three-qubit CNOT logic gates. By considering single 31P@C60 molecule as SI (S = 3/2, I = 1/2) spin system, three-qubit entangled states are also obtained using the magnetic resonance pulse sequences of Hadamard and CNOT logic gates.
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19

XU, JIN-SHI, and CHUAN-FENG LI. "QUANTUM DISCORD UNDER SYSTEM–ENVIRONMENT COUPLING: THE TWO-QUBIT CASE." International Journal of Modern Physics B 27, no. 01n03 (2012): 1345054. http://dx.doi.org/10.1142/s0217979213450549.

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Анотація:
Open quantum systems have attracted great attention, since inevitable coupling between quantum systems and their environment greatly affects the features of interest of these systems. Quantum discord, is a measure of the total nonclassical correlation in a quantum system that includes, but is not exclusive to, the distinct property of quantum entanglement. Quantum discord can exist in separated quantum states and plays an important role in many fundamental physics problems and practical quantum information tasks. There have been numerous investigations on quantum discord and its counterpart cl
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20

Cai, Xiaoya, Hui Pan, and Z. S. Wang. "Geometric phase of two-qubit system in dephasing environment." International Journal of Modern Physics B 29, no. 32 (2015): 1550236. http://dx.doi.org/10.1142/s0217979215502367.

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Анотація:
We investigated the geometric phase for interaction between superconducting two-qubit system in dephased environment. The Pancharatnam phase and the Berry phase are studied. Numerical results are discussed. By considering the differently initial conditions, we find that the time-dependent Pancharatnam phase keeps the initial entangling message. On the other hand, the transition of Pancharatnam phase is dependent of the phase change in the superconducting two-qubit coupling system. Our results may be helpful to implement the time-dependent geometric quantum computation.
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21

USHA DEVI, A. R., M. S. UMA, R. PRABHU, and SUDHA. "LOCAL INVARIANTS AND PAIRWISE ENTANGLEMENT IN SYMMETRIC MULTIQUBIT SYSTEM." International Journal of Modern Physics B 20, no. 11n13 (2006): 1917–33. http://dx.doi.org/10.1142/s0217979206034406.

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Анотація:
Pairwise entanglement properties of a symmetric multi-qubit system are analyzed through a complete set of two-qubit local invariants. Collective features of entanglement, such as spin squeezing, are expressed in terms of invariants and a classification scheme for pairwise entanglement is proposed. The invariant criteria given here are shown to be related to the recently proposed (Phys. Rev. Lett.95, 120502 (2005)) generalized spin squeezing inequalities for pairwise entanglement in symmetric multi-qubit states.
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22

Chen, Mingli, Haonan Chen, Tao Han, and Xiangji Cai. "Disentanglement Dynamics in Nonequilibrium Environments." Entropy 24, no. 10 (2022): 1330. http://dx.doi.org/10.3390/e24101330.

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Анотація:
We theoretically study the non-Markovian disentanglement dynamics of a two-qubit system coupled to nonequilibrium environments with nonstationary and non-Markovian random telegraph noise statistical properties. The reduced density matrix of the two-qubit system can be expressed as the Kraus representation in terms of the tensor products of the single qubit Kraus operators. We derive the relation between the entanglement and nonlocality of the two-qubit system which are both closely associated with the decoherence function. We identify the threshold values of the decoherence function to ensure
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23

Mohamed, A. B. A., E. M. Khalil, M. F. Yassen, and H. Eleuch. "Two-Qubit Local Fisher Information Correlation beyond Entanglement in a Nonlinear Generalized Cavity with an Intrinsic Decoherence." Entropy 23, no. 3 (2021): 311. http://dx.doi.org/10.3390/e23030311.

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Анотація:
In this paper, we study a Hamiltonian system constituted by two coupled two-level atoms (qubits) interacting with a nonlinear generalized cavity field. The nonclassical two-qubit correlation dynamics are investigated using Bures distance entanglement and local quantum Fisher information under the influences of intrinsic decoherence and qubit–qubit interaction. The effects of the superposition of two identical generalized coherent states and the initial coherent field intensity on the generated two-qubit correlations are investigated. Entanglement of sudden death and sudden birth of the Bures d
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24

Metwally, N., and F. Ebrahim. "Fisher information of accelerated two-qubit system in the presence of the color and white noisy channels." International Journal of Modern Physics B 34, no. 05 (2020): 2050027. http://dx.doi.org/10.1142/s0217979220500277.

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Анотація:
In this paper, an accelerated two-qubit system initially prepared in maximum or partial entangled state, which interacts locally with white/color or white-color noises, is considered. Due to the acceleration process and the noise effect, the entanglement degraded. Therefore, the effect of noise strength, initial state settings and the acceleration on the survival entanglement are investigated by means of the concurrence. Moreover, the initial parameters that describe this system are estimated by using the quantum Fisher information, where two forms are considered, namely by using a single and
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25

JORRAND, PHILIPPE, and MEHDI MHALLA. "SEPARABILITY OF PURE N-QUBIT STATES: TWO CHARACTERIZATIONS." International Journal of Foundations of Computer Science 14, no. 05 (2003): 797–814. http://dx.doi.org/10.1142/s0129054103002035.

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Анотація:
Given a pure state |ψN>∈ℋN of a quantum system composed of n qubits, where ℋN is the Hilbert space of dimension N=2n, this paper answers two questions: what conditions should the amplitudes in |ψN> satisfy for this state to be separable (i) into a tensor product of n qubit states |ψ2>0⊗ |ψ2>1 ⊗⋯⊗ |ψ2>n-1, and (ii), into a tensor product of two subsystems states |ψP> ⊗ |ψQ> with P=2p and Q=2q such that p+q=n? For both questions, necessary and sufficient conditions are proved, thus characterizing at the same time families of separable and entangled states of n qubit systems.
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26

Cabot, Albert, Gian Luca Giorgi, and Roberta Zambrini. "Synchronization and coalescence in a dissipative two-qubit system." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2249 (2021): 20200850. http://dx.doi.org/10.1098/rspa.2020.0850.

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Анотація:
The possibility of detuned spins displaying synchronous oscillations in local observables is analysed in the presence of coupling, collective dissipation and incoherent pumping. We show that there exist two distinct scenarios in which synchronization can emerge, related respectively to the presence of a non-degenerate long-lived eigenmode and to the presence of a single-frequency regime. Both scenarios can arise by tuning parameters in this system, owing to the presence of coalascence. The former, known as transient synchronization, is here generalized in the presence of incoherent pumping, an
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27

Jie Zhao, Yang Yu, and Biao-Bing Jin. "Transmission Properties of a Qubit-Coupled-Two-Resonator System." IEEE Transactions on Applied Superconductivity 23, no. 3 (2013): 1701705. http://dx.doi.org/10.1109/tasc.2013.2243197.

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28

Zhang, Qiang, Alexander Goebel, Claudia Wagenknecht, et al. "Experimental quantum teleportation of a two-qubit composite system." Nature Physics 2, no. 10 (2006): 678–82. http://dx.doi.org/10.1038/nphys417.

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29

Łuczak, Jakub, and Bogdan R. Bułka. "Two-qubit logical operations in three quantum dots system." Journal of Physics: Condensed Matter 30, no. 22 (2018): 225601. http://dx.doi.org/10.1088/1361-648x/aabe50.

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30

Ban, Masashi. "Disentanglement of two-qubit system in the Bloch channel." Optics Communications 283, no. 19 (2010): 3812–17. http://dx.doi.org/10.1016/j.optcom.2010.05.030.

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31

Devi, A. R. Usha, M. S. Uma, R. Prabhu, and Sudha. "Non-local properties of a symmetric two-qubit system." Journal of Optics B: Quantum and Semiclassical Optics 7, no. 12 (2005): S740—S744. http://dx.doi.org/10.1088/1464-4266/7/12/042.

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32

Yang, Xiong, and Jia-hua Xiao. "Dynamics of quantum discord for a two-qubit system." Optoelectronics Letters 9, no. 1 (2013): 69–72. http://dx.doi.org/10.1007/s11801-013-2289-y.

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33

Li, Xiu-feng, and Mao-fa Fang. "Geometric Phase of Two-Qubit System with Dissipative Effects." International Journal of Theoretical Physics 53, no. 6 (2014): 2075–81. http://dx.doi.org/10.1007/s10773-014-2013-0.

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34

Ma, Tiantian, Jun Jing, Yi Guo, and Ting Yu. "Quantum feedback control for qubit-qutrit entanglement." Quantum Information and Computation 16, no. 7&8 (2016): 597–614. http://dx.doi.org/10.26421/qic16.7-8-3.

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Анотація:
We study a hybrid quantum open system consisting of two interacting subsystems formed by one two-level atom (qubit) and one three-level atom (qutrit). The quantum open system is coupled to an external environment (cavity) via the qubit-cavity interaction. It is found that the feedback control on different parts of the system (qubit or qutrit) gives dramatically different asymptotical behaviors of the open system dynamics. We show that the local feedback control mechanism acting on the qutrit subsystem is superior than that on the qubit in the sense of improving the entanglement. Particularly,
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35

Yan-liang ZHANG, 张延亮, 周清平 Qing-ping ZHOU, and 阳汝昭 Ru-zhao YANG. "The Study of Dynamics of Quantum Memory Assisted Entropic Uncertainty of the Two-qubit System Under Decoherence." Acta Sinica Quantum Optica 26, no. 2 (2020): 114. http://dx.doi.org/10.3788/jqo20202602.0103.

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36

LASTRA, F., G. ROMERO, C. E. LÓPEZ, and J. C. RETAMAL. "CLASSICAL NOISE INDUCED DECOHERENCE EFFECTS ON THE ENTANGLEMENT IN A TWO-QUBIT SYSTEM." International Journal of Quantum Information 05, no. 04 (2007): 457–68. http://dx.doi.org/10.1142/s0219749907003006.

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Анотація:
In this work we study entanglement properties of a two-qubit system being affected by a classical noisy environment and coupled through exchange interaction. We study the dynamical generation of entanglement considering different initial conditions for the two-qubit system. We evaluate the rate at which entanglement is lost by calculating the concurrence as a function of time.
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37

Essammouni, K., A. Chouikh, T. Said, and M. Bennai. "niSWAP and NTCP gates realized in a circuit QED system." International Journal of Geometric Methods in Modern Physics 14, no. 07 (2017): 1750100. http://dx.doi.org/10.1142/s0219887817501006.

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Анотація:
Based on superconducting qubit coupled to a resonator driven by a strong microwave field, we propose a method to implement two quantum logic gates ([Formula: see text]SWAP and NTCP gates) of one qubit simultaneously controlling [Formula: see text] qubits selected from [Formula: see text] qubits in a circuit QED [Formula: see text] by introducing qubit–qubit interaction. The interaction between the qubits and the circuit QED can be achieved by tuning the gate voltage and the external flux. The operation times of the logic gates are much smaller than the decoherence time and dephasing time. More
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38

Almarashi, Abdullah, Sayed Abdel-Khalek, and Debasis Kundu. "Photon statistics and non-local properties of a two-qubit-field system in the excited negative binomial distribution." Thermal Science 26, Spec. issue 1 (2022): 239–46. http://dx.doi.org/10.2298/tsci22s1239a.

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Анотація:
In this paper, a quantum scheme for a two-qubit system (2QS) and field initially prepared in the excited negative binomial distribution is presented. The field photon statistics is detected from the evolution of the Mandel parameter, while the evolution of von Neumann entropy detects the nonlocal correlation between the 2QS and radiation field. The concurrence is used to detect the qubit-qubit entanglement during the time evolution. The dynamical properties of single-qubit and two-qubit quantum Fisher information are investigated. We visualize the number of photon excitations on the field in n
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39

Kuzmak, A. R. "Implementation of a two-qubit state by an auxiliary qubit on the three-spin system." Physica Scripta 95, no. 3 (2020): 035403. http://dx.doi.org/10.1088/1402-4896/ab4b40.

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40

Mohamed, A.-B. A., H. A. Hessian, and H. Eleuch. "Generation of quantum coherence in two-qubit cavity system: qubit-dipole coupling and decoherence effects." Physica Scripta 95, no. 7 (2020): 075104. http://dx.doi.org/10.1088/1402-4896/ab8f41.

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41

Shi, Jianxin. "Entanglement Research for the Coupled Superconducting Phase Qubit and a Two-Level System." Advances in Condensed Matter Physics 2020 (September 21, 2020): 1–8. http://dx.doi.org/10.1155/2020/3838106.

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Анотація:
Entanglement can exist not only in the microscopic system (e.g., atom, photon, and ion trap) but also in macroscopic systems. According to recent research, entanglement can be achieved and controlled in superconducting devices. The quantum dynamics and entanglement mechanism of the coupled superconducting phase qubit and a two-level system (TLS) were demonstrated when the bipartite system was under microwave driving. Besides, the results reveal that when the system was experiencing decoherence, entanglement (concurrence) of the coupled superconducting phase qubit and TLS would oscillate damply
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42

Metwally, N. "Fisher information of accelerated two-qubit systems." International Journal of Modern Physics B 32, no. 05 (2018): 1850050. http://dx.doi.org/10.1142/s0217979218500509.

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Анотація:
In this paper, Fisher information for an accelerated system initially prepared in the X-state is discussed. An analytical solution, which consists of three parts: classical, the average over all pure states and a mixture of pure states, is derived for the general state and for Werner state. It is shown that the Unruh acceleration has a depleting effect on the Fisher information. This depletion depends on the degree of entanglement of the initial state settings. For the X-state, for some intervals of Unruh acceleration, the Fisher information remains constant, irrespective to the Unruh accelera
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43

METWALLY, N., M. ABDEL-ATY, and A. S. OBADA. "COHERENT AND INCOHERENT BEHAVIORS OF QUBITS INTERACTING WITH A SPIN-PATH PARTICLE." International Journal of Modern Physics B 27, no. 17 (2013): 1350076. http://dx.doi.org/10.1142/s0217979213500768.

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Анотація:
We analyze a crucial effect of the spin-path environment on a single and maximum entangled two-qubit systems. For a single qubit, we investigate the coherent loss by means of coherent-vectors' dynamics and the interacted qubits' fidelity. We used entanglement and population dynamics to investigate the coherent loss of the two-qubit system. We show and numerically verify that the effect of the detuning and coupling parameters in the negativity can be mapped onto the maximum and minimum values of the entanglement.
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44

Zheng, Chao, Jin Tian, Daili Li, Jingwei Wen, Shijie Wei, and Yansong Li. "Efficient Quantum Simulation of an Anti-P-Pseudo-Hermitian Two-Level System." Entropy 22, no. 8 (2020): 812. http://dx.doi.org/10.3390/e22080812.

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Besides Hermitian systems, quantum simulation has become a strong tool to investigate non-Hermitian systems, such as PT-symmetric, anti-PT-symmetric, and pseudo-Hermitian systems. In this work, we theoretically investigate quantum simulation of an anti-P-pseudo-Hermitian two-level system in different dimensional Hilbert spaces. In an arbitrary phase, we find that six dimensions are the minimum to construct the anti-P-pseudo-Hermitian two-level subsystem, and it has a higher success probability than using eight dimensions. We find that the dimensions can be reduced further to four or two when t
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45

Bhandari, Bibek, Robert Czupryniak, Paolo Andrea Erdman, and Andrew N. Jordan. "Measurement-Based Quantum Thermal Machines with Feedback Control." Entropy 25, no. 2 (2023): 204. http://dx.doi.org/10.3390/e25020204.

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We investigated coupled-qubit-based thermal machines powered by quantum measurements and feedback. We considered two different versions of the machine: (1) a quantum Maxwell’s demon, where the coupled-qubit system is connected to a detachable single shared bath, and (2) a measurement-assisted refrigerator, where the coupled-qubit system is in contact with a hot and cold bath. In the quantum Maxwell’s demon case, we discuss both discrete and continuous measurements. We found that the power output from a single qubit-based device can be improved by coupling it to the second qubit. We further fou
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46

López-Saldívar, Julio A., Octavio Castaños, Margarita A. Man’ko, and Vladimir I. Man’ko. "A New Mechanism of Open System Evolution and Its Entropy Using Unitary Transformations in Noncomposite Qudit Systems." Entropy 21, no. 8 (2019): 736. http://dx.doi.org/10.3390/e21080736.

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The evolution of an open system is usually associated with the interaction of the system with an environment. A new method to study the open-type system evolution of a qubit (two-level atom) state is established. This evolution is determined by a unitary transformation applied to the qutrit (three-level atom) state, which defines the qubit subsystems. This procedure can be used to obtain different qubit quantum channels employing unitary transformations into the qutrit system. In particular, we study the phase damping and spontaneous-emission quantum channels. In addition, we mention a proposa
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47

Algarni, Mariam, Kamal Berrada, Sayed Abdel-Khalek, and Hichem Eleuch. "Parity Deformed Tavis-Cummings Model: Entanglement, Parameter Estimation and Statistical Properties." Mathematics 10, no. 17 (2022): 3051. http://dx.doi.org/10.3390/math10173051.

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In this paper, we introduce the parity extension of the harmonic oscillator systems to develop the generalized Tavis-Cummings model (T-CM) based on a specific deformation of the Heisenberg algebra. We present a quantum scheme of a two-qubit system (TQS) interacting with a quantized field that is initially prepared in parity deformed coherent states (PDCSs). The dynamical features of the considered system are explored in the presence of parity deformed parameter (PDP) and time-dependent coupling (t-dc). In particular, we examine the amount of the entanglement formed in the qubit–field and qubit
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48

Plesch, M., and V. Buzek. "Entangled graphs." Quantum Information and Computation 2, Special (2002): 530–39. http://dx.doi.org/10.26421/qic2.s-3.

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We study how bi-partite quantum entanglement (measured in terms of a concurrence) can be shared in multi-qubit systems. We introduce a concept of the entangled graph such that each qubit of a multi-partite system is associated with a vertex while a bi-partite entanglement between two specific qubits is represented by an edge. We prove that any entangled graph can be associated with a pure state of a multi-qubit system. We also derive bounds on the concurrence for some weighted entangled graphs (the weight corresponds to the value of concurrence associated with the given edge).
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49

Bertoni, A., P. Bordone, R. Brunetti, C. Jacoboni, and S. Reggiani. "Numerical Simulation of Quantum Logic Gates Based on Quantum Wires." VLSI Design 13, no. 1-4 (2001): 97–102. http://dx.doi.org/10.1155/2001/86126.

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Анотація:
A system based on frontier mesoscopic semiconductor technology, able to perform the basic quantum operations needed for quantum computation, is proposed. The elementary quantum bit (qubit) is defined as the state of an electron running along a couple of quantum wires coupled through a potential barrier with variable height and/ or width. A proper design of the system, together with the action of Coulomb interaction of two electrons representing two different qubits, allows the implementation of basic one-qubit and two-qubit quantum logic gates. Numerical simulations confirm the correctness of
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50

Duan, Junjun, Lin Zhang, Quan Qian, and Shao-Ming Fei. "A Characterization of Maximally Entangled Two-Qubit States." Entropy 24, no. 2 (2022): 247. http://dx.doi.org/10.3390/e24020247.

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As already known by Rana’s result, all eigenvalues of any partial-transposed bipartite state fall within the closed interval [−12,1]. In this note, we study a family of bipartite quantum states where the minimal eigenvalues of partial-transposed states are −12. For a two-qubit system, we find that the minimal eigenvalue of its partial-transposed state is −12 if and only if such a two-qubit state is maximally entangled. However this result does not hold in general for a two-qudit system when the dimensions of the underlying space are larger than two.
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