The Experts below are selected from a list of 4826277 Experts worldwide ranked by ideXlab platform
Vladimir I. Man’ko - One of the best experts on this subject based on the ideXlab platform.
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Multilevel superconducting circuits as Two-Qubit Systems: Operations, state preparation, and entropic inequalities
Physical Review A, 2015Co-Authors: Evgeniy O. Kiktenko, Aleksey Fedorov, Olga V. Man’ko, Vladimir I. Man’koAbstract:We theoretically study operations with a four-level superconducting circuit as a Two-Qubit System. Using a mapping on a Two-Qubit System, we show how to implement iSWAP gates and Hadamard gates through pulses on transitions between particular pairs of energy levels. Our approach allows one to prepare pure Two-Qubit entangled states with desired form of reduced density matrices of the same purity and, in particular, arbitrary identical reduced states of qubits. We propose using schemes for the Hadamard gate and Two-Qubit entangled states with identical reduced density matrices in order to verify $\log{N}$ inequalities for Shannon and R\'enyi entropies for the considered noncomposite quantum System.Comment: 7 pages, 3 figures; published versio
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Multilevel superconducting circuits as Two-Qubit Systems: Operations, state preparation, and entropic inequalities
Physical Review A, 2015Co-Authors: Evgeniy O. Kiktenko, Aleksey Fedorov, Olga V. Man’ko, Vladimir I. Man’koAbstract:We theoretically study operations with a four-level superconducting circuit as a Two-Qubit System. Using a mapping on a Two-Qubit System, we show how to implement iswap gates and Hadamard gates through pulses on transitions between particular pairs of energy levels. Our approach allows one to prepare pure Two-Qubit entangled states with desired form of reduced density matrices of the same purity and, in particular, arbitrary identical reduced states of qubits. We propose using schemes for the Hadamard gate and Two-Qubit entangled states with identical reduced density matrices in order to verify $logN$ inequalities for Shannon and R\'enyi entropies for the considered noncomposite quantum System.
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Entropic and information inequality for nonlinearly transformed Two-Qubit X-states
EPL (Europhysics Letters), 2015Co-Authors: Vladimir I. Man’ko, R. S. PuzkoAbstract:The entropic and information inequalities for two qubit X-states transformed by the nonlinear channels are given in explicit form. The subadditivity condition and nonnegativity of von Neumann quantum information are studied for both initial X-state and the state after action of the nonlinear channel. Partial case of Werner state is considered in detail. We shown that the von Neumann information increases due to action of the nonlinear channel. We generalize the results obtained for Werner state in our earlier article [J. Russ. Laser Res., \textbf{35}, iss. 3 (2014)] to the case of X-state of two qubit System. We study the influence of nonlinear channel acting on X-state of two qubit System onto von Neumann mutual information.
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Minkowski-Type Inequality for Arbitrary Density Matrices of Composite and Noncomposite Systems
Journal of Russian Laser Research, 2015Co-Authors: Vladimir N. Chernega, Olga V. Man’ko, Vladimir I. Man’koAbstract:We obtain a new matrix inequality for an arbitrary density matrix of composite/noncomposite qudit Systems including a single-qudit state. For bipartite Systems, this inequality coincides with a known entropic inequality like the subadditivity condition. The examples of Two-Qubit System and qudit with j = 3 / 2 are discussed.
Evgeniy O. Kiktenko - One of the best experts on this subject based on the ideXlab platform.
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Multilevel superconducting circuits as Two-Qubit Systems: Operations, state preparation, and entropic inequalities
Physical Review A, 2015Co-Authors: Evgeniy O. Kiktenko, Aleksey Fedorov, Olga V. Man’ko, Vladimir I. Man’koAbstract:We theoretically study operations with a four-level superconducting circuit as a Two-Qubit System. Using a mapping on a Two-Qubit System, we show how to implement iSWAP gates and Hadamard gates through pulses on transitions between particular pairs of energy levels. Our approach allows one to prepare pure Two-Qubit entangled states with desired form of reduced density matrices of the same purity and, in particular, arbitrary identical reduced states of qubits. We propose using schemes for the Hadamard gate and Two-Qubit entangled states with identical reduced density matrices in order to verify $\log{N}$ inequalities for Shannon and R\'enyi entropies for the considered noncomposite quantum System.Comment: 7 pages, 3 figures; published versio
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Multilevel superconducting circuits as Two-Qubit Systems: Operations, state preparation, and entropic inequalities
Physical Review A, 2015Co-Authors: Evgeniy O. Kiktenko, Aleksey Fedorov, Olga V. Man’ko, Vladimir I. Man’koAbstract:We theoretically study operations with a four-level superconducting circuit as a Two-Qubit System. Using a mapping on a Two-Qubit System, we show how to implement iswap gates and Hadamard gates through pulses on transitions between particular pairs of energy levels. Our approach allows one to prepare pure Two-Qubit entangled states with desired form of reduced density matrices of the same purity and, in particular, arbitrary identical reduced states of qubits. We propose using schemes for the Hadamard gate and Two-Qubit entangled states with identical reduced density matrices in order to verify $logN$ inequalities for Shannon and R\'enyi entropies for the considered noncomposite quantum System.
Jian Zou - One of the best experts on this subject based on the ideXlab platform.
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Quantum discord for a central Two-Qubit System coupled to an XY-spin-chain environment
Physical Review A, 2010Co-Authors: Ben-qiong Liu, Bin Shao, Jian ZouAbstract:We investigate the dynamic behaviors of quantum discord for a central Two-Qubit System coupled to an XY-spin-chain environment. In the weak-coupling regime, we show that the quantum discord for the two central qubits can become minimized rapidly close to the critical point of a quantum phase transition. By considering the two qubits that are initially prepared in the Werner state, we study the evolution of the quantum discord and that of entanglement under the same conditions. Our results imply that entanglement can disappear completely after a finite time, while the quantum discord decreases and tends to be a stable value according to the initial-state parameter for a very-long-time interval. In this sense, the quantum discord is more robust than entanglement for the quantum System exposed to the environment. The relation between the quantum correlations and the classical correlation is also shown for two particular cases.
Aleksey Fedorov - One of the best experts on this subject based on the ideXlab platform.
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Multilevel superconducting circuits as Two-Qubit Systems: Operations, state preparation, and entropic inequalities
Physical Review A, 2015Co-Authors: Evgeniy O. Kiktenko, Aleksey Fedorov, Olga V. Man’ko, Vladimir I. Man’koAbstract:We theoretically study operations with a four-level superconducting circuit as a Two-Qubit System. Using a mapping on a Two-Qubit System, we show how to implement iSWAP gates and Hadamard gates through pulses on transitions between particular pairs of energy levels. Our approach allows one to prepare pure Two-Qubit entangled states with desired form of reduced density matrices of the same purity and, in particular, arbitrary identical reduced states of qubits. We propose using schemes for the Hadamard gate and Two-Qubit entangled states with identical reduced density matrices in order to verify $\log{N}$ inequalities for Shannon and R\'enyi entropies for the considered noncomposite quantum System.Comment: 7 pages, 3 figures; published versio
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Multilevel superconducting circuits as Two-Qubit Systems: Operations, state preparation, and entropic inequalities
Physical Review A, 2015Co-Authors: Evgeniy O. Kiktenko, Aleksey Fedorov, Olga V. Man’ko, Vladimir I. Man’koAbstract:We theoretically study operations with a four-level superconducting circuit as a Two-Qubit System. Using a mapping on a Two-Qubit System, we show how to implement iswap gates and Hadamard gates through pulses on transitions between particular pairs of energy levels. Our approach allows one to prepare pure Two-Qubit entangled states with desired form of reduced density matrices of the same purity and, in particular, arbitrary identical reduced states of qubits. We propose using schemes for the Hadamard gate and Two-Qubit entangled states with identical reduced density matrices in order to verify $logN$ inequalities for Shannon and R\'enyi entropies for the considered noncomposite quantum System.
Olga V. Man’ko - One of the best experts on this subject based on the ideXlab platform.
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Multilevel superconducting circuits as Two-Qubit Systems: Operations, state preparation, and entropic inequalities
Physical Review A, 2015Co-Authors: Evgeniy O. Kiktenko, Aleksey Fedorov, Olga V. Man’ko, Vladimir I. Man’koAbstract:We theoretically study operations with a four-level superconducting circuit as a Two-Qubit System. Using a mapping on a Two-Qubit System, we show how to implement iSWAP gates and Hadamard gates through pulses on transitions between particular pairs of energy levels. Our approach allows one to prepare pure Two-Qubit entangled states with desired form of reduced density matrices of the same purity and, in particular, arbitrary identical reduced states of qubits. We propose using schemes for the Hadamard gate and Two-Qubit entangled states with identical reduced density matrices in order to verify $\log{N}$ inequalities for Shannon and R\'enyi entropies for the considered noncomposite quantum System.Comment: 7 pages, 3 figures; published versio
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Multilevel superconducting circuits as Two-Qubit Systems: Operations, state preparation, and entropic inequalities
Physical Review A, 2015Co-Authors: Evgeniy O. Kiktenko, Aleksey Fedorov, Olga V. Man’ko, Vladimir I. Man’koAbstract:We theoretically study operations with a four-level superconducting circuit as a Two-Qubit System. Using a mapping on a Two-Qubit System, we show how to implement iswap gates and Hadamard gates through pulses on transitions between particular pairs of energy levels. Our approach allows one to prepare pure Two-Qubit entangled states with desired form of reduced density matrices of the same purity and, in particular, arbitrary identical reduced states of qubits. We propose using schemes for the Hadamard gate and Two-Qubit entangled states with identical reduced density matrices in order to verify $logN$ inequalities for Shannon and R\'enyi entropies for the considered noncomposite quantum System.
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Minkowski-Type Inequality for Arbitrary Density Matrices of Composite and Noncomposite Systems
Journal of Russian Laser Research, 2015Co-Authors: Vladimir N. Chernega, Olga V. Man’ko, Vladimir I. Man’koAbstract:We obtain a new matrix inequality for an arbitrary density matrix of composite/noncomposite qudit Systems including a single-qudit state. For bipartite Systems, this inequality coincides with a known entropic inequality like the subadditivity condition. The examples of Two-Qubit System and qudit with j = 3 / 2 are discussed.
