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Relevant bibliographies by topics / TWO-QUDIT SYSTEM

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Academic literature on the topic 'TWO-QUDIT SYSTEM'

Author: Grafiati

Published: 11 September 2023

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Journal articles on the topic "TWO-QUDIT SYSTEM"

1

Mansour, M., M. Daoud, and L. Bouhouch. "Absolutely maximally entangled states from phase states." International Journal of Quantum Information 17, no. 01 (2019): 1950009. http://dx.doi.org/10.1142/s0219749919500096.

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We derive absolutely maximally entangled (AME) states from phase states for a multi-qudit system whose dynamics is governed by a two-qudit interaction Hamiltonian of Heisenberg type. AME states are characterized by being maximally entangled for all bipartitions of the multi-qudit system and present absolute multipartite entanglement. The key ingredient of this approach is the theory of phase states for finite-dimensional systems (qudits). We define further the unitary phase operators of [Formula: see text]-qudit systems and we give next the corresponding separable phase states. Using a qudit–q

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2

Man’ko, V. I., and L. A. Markovich. "Deformed Entropic and Information Inequalities forX-States of Two-Qubit and Single Qudit States." Advances in Mathematical Physics 2015 (2015): 1–4. http://dx.doi.org/10.1155/2015/717621.

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Theq-deformed entropies of quantum and classical systems are discussed. Standard andq-deformed entropic inequalities forX-states of the two-qubit system and the state of single qudit withj=3/2are presented.

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3

Man'ko, V. I., and L. A. Markovich. "New Minkowski type inequalities and entropic inequalities for quantum states of qudits." International Journal of Quantum Information 12, no. 07n08 (2014): 1560021. http://dx.doi.org/10.1142/s0219749915600217.

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The two-parameter Minkowski like inequality written for composite quantum system state is obtained for arbitrary Hermitian non-negative matrix with trace equal to unity. The inequality can be used as entropic and information inequality for density matrix of noncomposite finite quantum system, e.g. for a single qudit state. The analogs of strong subadditivity condition for the single qudit is discussed in context of obtained Minkowski like inequality.

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4

Ducuara, Andrés Felipe, Javier Madroñero, and John Henry Reina. "On the Activation of Quantum Nonlocality." Universitas Scientiarum 21, no. 2 (2016): 129. http://dx.doi.org/10.11144/javeriana.sc21-2.otao.

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<p>We report on some quantum properties of physical systems, namely, entanglement, nonlocality, k-copy nonlocality (superactivation of nonlocality), hidden nonlocality (activation of nonlocality through local filtering) and the activation of nonlocality through tensoring and local filtering. The aim of this work is two-fold. First, we provide a review of the numerical procedures that must be followed in order to calculate the aforementioned properties, in particular, for any two-qubit system, and reproduce the bounds for two-qudit Werner states. Second, we use such numerical tools to cal

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5

FUJII, KAZUYUKI, KUNIO FUNAHASHI, and TAKAYUKI KOBAYASHI. "JARLSKOG'S PARAMETRIZATION OF UNITARY MATRICES AND QUDIT THEORY." International Journal of Geometric Methods in Modern Physics 03, no. 02 (2006): 269–83. http://dx.doi.org/10.1142/s0219887806001144.

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In the paper (math–ph/0504049) Jarlskog gave an interesting simple parametrization to unitary matrices, which was essentially the canonical coordinate of the second kind in the Lie group theory (math–ph/0505047). In this paper we apply the method to a quantum computation based on multilevel system (qudit theory). Namely, by considering that the parametrization gives a complete set of modules in qudit theory, we construct the generalized Pauli matrices, which play a central role in the theory and also make a comment on the exchange gate of two–qudit systems. Moreover, we give an explicit constr

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6

Karakaş, Mikail Doğuş, and Azmi Gençten. "Construction of Two-Ququart Quantum Entanglement by Using Magnetic Resonance Selective Pulse Sequences." Zeitschrift für Naturforschung A 73, no. 10 (2018): 911–18. http://dx.doi.org/10.1515/zna-2017-0441.

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AbstractA d-dimensional unit of information in quantum computing is called a qudit. For d = 4 there exist four magnetic quantum numbers of spin-3/2. These four levels can be called ququarts. Then, for the SI (S = 3/2, I = 3/2) spin system, 16 two-ququart states are obtained. In this study, first, two-ququart entangled states are constructed by using matrix representation of Hadamard and CNOT logic gates. Two-ququart entangled states are also constructed by using magnetic resonance selective pulse sequences of Hadamard and CNOT logic gates. Then, a generalised expression is obtained for the tra

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7

Mansour, Mostafa, and Mohammed Daoud. "Stabilizer codes and equientangled bases from phase states." International Journal of Modern Physics B 31, no. 20 (2017): 1750132. http://dx.doi.org/10.1142/s0217979217501326.

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We develop a comprehensive approach of stabilizer codes and provide a scheme generating equientangled basis interpolating between the product basis and maximally entangled basis. The key ingredient is the theory of phase states for finite-dimensional systems (qudits). In this respect, we derive entangled phase states for a multiqudit system whose dynamics is governed by a two-qudit interaction Hamiltonian. We construct the stabilizer codes for this family of entangled phase states. The stabilizer phase states are defined as the common eigenvectors of the stabilizer group generators which are e

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8

TIAN, XIU-LAO, GUO-FANG SHI, and Yong ZHAO. "QUANTUM CHANNELS OF THE QUTRIT STATE TELEPORTATION." International Journal of Quantum Information 09, no. 03 (2011): 893–901. http://dx.doi.org/10.1142/s0219749911007502.

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Qudit quantum system can carry more information than that of qubit, the teleportation of qudit state has significance in quantum information task. We propose a method to teleport a general qutrit state (three-level state) and discuss the necessary and sufficient condition for realizing a successful and perfect teleportation, which is determined by the measurement matrix Tα and the quantum channel parameter matrix (CPM) X. By using this method, we study the channels of two-qutrit state and three-qutrit state teleportation.

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9

Achkir, O., M. Daoud, and M. Mansour. "Generalized graph states and mutually unbiased bases from multi-qudits phase states." Modern Physics Letters B 31, no. 17 (2017): 1750183. http://dx.doi.org/10.1142/s0217984917501834.

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The description of qudits in a formalism based on a generalized variant of Weyl–Heisenberg algebras is discussed. The unitary phase operators for a multi-qudit system and the corresponding phase states (the eigenstates of the phase operator) are constructed. We discuss the dynamics of multi-qudit phase states governed by a generalized Hamiltonian involving one- and two-body interactions which offer a remarkable connection between phase states, generalized graph states and the mutually unbiased bases. The entangled phase states are shown to possess the following properties simultaneously, namel

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10

Zhou, Tao, Jing Xin Cui, Xiaohua Wu, and Gui Lu Long. "Multicopy programmable discriminators between two unknown qudit states with group-theoretic approach." Quantum Information and Computation 12, no. 11&12 (2012): 1017–33. http://dx.doi.org/10.26421/qic12.11-12-9.

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The discrimination between two unknown states can be performed by a universal programmable discriminator, where the copies of the two possible states are stored in two program systems respectively and the copies of data, which we want to confirm, are provided in the data system. In the present paper, we propose a group-theretic approach to the multi-copy programmable state discrimination problem. By equivalence of unknown pure states to known mixed states and with the representation theory of $U(n)$ group, we construct the Jordan basis to derive the analytical results for both the optimal unam

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