Stabilized quantum coherence and remote state preparation in structured environments

Zhang, Ping; You, Bo; Cen, Li-Xiang

doi:10.1007/s11434-014-0497-x

Cited by 14 publications

(8 citation statements)

References 30 publications

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“…We shall also notice that the creation and evolution of quantum correlations is another direction of quantum information processing stimulating intensive investigations (for instance, see refs. [52][53][54][55][56][57]). Currently, the quantum entanglement [14,15,17,18] and the quantum discord [48][49][50][51]…”

Section: Discussionmentioning

confidence: 99%

Remote one-qubit-state control using the pure initial state of a two-qubit sender: Selective-region and eigenvalue creation

Bochkin

Zenchuk

2015

Phys. Rev. A

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We study the problem of remote one-qubit mixed state creation using a pure initial state of two-qubit sender and spin-1/2 chain as a connecting line. We express the parameters of creatable states in terms of transition amplitudes. We show that the creation of complete receiver's statespace can be achieved only in the chain engineered for the one-qubit perfect state transfer (PST) (for instance, in the fully engineered Ekert chain), the chain can be arbitrarily long in this case. As for the homogeneous chain, the creatable receiver's state region decreases quickly with the chain length. Both homogeneous chains and chains engineered for PST can be used for the purpose of selective state creation, when only the restricted part of the whole receiver's state space is of interest. Among the parameters of the receiver's state, the eigenvalue is the most hard creatable one and therefore deserves the special study. Regarding the homogeneous spin chain, an arbitrary eigenvalue can be created only if the chain is of no more than 34 nodes. Alternating chain allows us to increase this length up to 68 nodes. PACS numbers:

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Section: Discussionmentioning

confidence: 99%

Remote one-qubit-state control using the pure initial state of a two-qubit sender: Selective-region and eigenvalue creation

Bochkin

Zenchuk

2015

Phys. Rev. A

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“…The quantum correlations are responsible for a principal advantages of quantum devises over their classical counterparts. The problems of correlations between remote systems [1,2], formation [3][4][5][6][7][8] and transfer of quantum correlations [9][10][11][12][13] are getting an increasing meaning because of progress in quantum information processing which includes quantum state creation and information transfer [14][15][16][17][18]. Obviously, the relation between the information transfer and quantum correlations exist; however it can not be simply released.…”

Section: Introductionmentioning

confidence: 99%

Relay entanglement and clusters of correlated spins

Doronin

Zenchuk

2018

Quantum Inf Process

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Considering a spin-1/2 chain, we suppose that the entanglement passes from a given pair of particles to another one, thus establishing the relay transfer of entanglement along the chain.Therefore, we introduce the relay entanglement as a sum of all pairwise entanglements in a spin chain. For more detailed studying the effects of remote pairwise entanglements, we use the partial sums collecting entanglements between the spins separated by up to a certain number of nodes.The problem of entangled cluster formation is considered, and the geometric mean entanglement is introduced as a characteristics of quantum correlations in a cluster. Generally, the life-time of a cluster decreases with an increase in its size. PACS numbers:

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“…In particular, the entanglement between the remote qubits is studied in [6,7], different method of creation of quantum correlations are considered in [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Remote control of quantum correlations in a two-qubit receiver by a three-qubit sender

Doronin¹,

Zenchuk²

2016

Theor Math Phys

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We study the problem of remote control of quantum correlations (discord) in a sub-system of two qubits (receiver) via the parameters of the initial state of another sub-system of three qubits (sender) connected with the receiver by the inhomogeneous spin-1/2 chain. We propose two parameters characterizing the creatable correlations. The first one is the discord between the receiver and the rest of spin-1/2 chain, it concerns the mutual correlations between these two subsystems. The second parameter is the discord between the two nodes of the receiver and describes the correlations inside of the receiver. We study the dependence of these two discords on the inhomogeneity degree of spin chain.

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Stabilized quantum coherence and remote state preparation in structured environments

Cited by 14 publications

References 30 publications

Remote one-qubit-state control using the pure initial state of a two-qubit sender: Selective-region and eigenvalue creation

Remote one-qubit-state control using the pure initial state of a two-qubit sender: Selective-region and eigenvalue creation

Relay entanglement and clusters of correlated spins

Remote control of quantum correlations in a two-qubit receiver by a three-qubit sender

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