One-Way Information Deficit and Geometry for a Class of Two-Qubit States

Wang, Yao-Kun; Ma, Teng; Li, Bo; Wang, Zhi‐Xi

doi:10.1088/0253-6102/59/5/04

Cited by 16 publications

(20 citation statements)

References 49 publications

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“…, the state becomes the 2 ⊗ 2 Werner state, and the one-way deficit is equal to the quantum discord, which is in consistent with the result obtained in [30]. In Fig.1 we show that quantum correlations is a function of F for different spin j.…”

Section: Resultssupporting

confidence: 88%

“…To evaluate the one-way deficit of ρ ab , we calculate the eigenvalues of (9) and (10) I + M, by using (19) and (20) in [30], we have the eigenvalues of…”

Section: Resultsmentioning

confidence: 99%

“…We have obtained analytical formula of one-way deficit for some well known states such as Bell-diagonal states [30]. In this paper, we endeavored to calculate the one-way deficit of bipartite SU(2) invariant states consisting of a spin-j and a spin- SU(2)-invariant density matrices of two spins S 1 and S 2 are defined to be invariant…”

Section: Introductionmentioning

confidence: 99%

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ONe-Way Deficit of SU(2) Invariant States

Wang¹,

Ma²,

Fei³

et al. 2014

Reports on Mathematical Physics

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We calculate analytically the one-way deficit for systems consisting spin-j and spin-1 2 subsystems with SU (2) symmetry. Comparing our results with the quantum discord of SU (2) invariant states, we show that the one-way deficit is equal to the quantum discord for half-integer j, and is larger than the quantum discord for integer j. Moreover, we also compare the one-way deficit with entanglement of formation. The quantum entanglement tends to zero as j increases, while the one-way deficit can remain significantly large.

show abstract

Section: Resultssupporting

confidence: 88%

“…To evaluate the one-way deficit of ρ ab , we calculate the eigenvalues of (9) and (10) I + M, by using (19) and (20) in [30], we have the eigenvalues of…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

ONe-Way Deficit of SU(2) Invariant States

Wang¹,

Ma²,

Fei³

et al. 2014

Reports on Mathematical Physics

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“…We use the steady-state solutions given by Equations (14) and (15) in Ref. [5] and find that for all elements of (1,1) , (2,2) to be zero, requires that real and imaginary parts of α must be zero which corresponds to ε is zero.…”

Section: Resultsmentioning

confidence: 99%

“…Several measures have been proposed to quantify discord [10][11][12][13][14][15], most notably quantum discord [10,11].…”

Section: Introductionmentioning

confidence: 99%

Enhancement of discord and entanglement with detuning for two coupled quantum dots in a driven cavity

Rawlinson

Vyas

2015

Journal of Modern Optics

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We study the quantum discord for a system of two identical coupled quantum dots interacting with quantized cavity field in the presence of cavity as well as dot decay and detuning. The cavity is externally driven by a coherent light. These results are compared with the entanglement of the quantum dots in various parameter regimes in which system may or may not show bistability. We show that the discord in the steady state is nonzero for any nonzero cavity field amplitude. The system has higher discord in the upper branch of the bistability curve where the entanglement is zero. We also find many other interesting results including high discord and entanglement in the presence of detuning, a phenomenon which we further examine by approximating the density matrix in the appropriate limit.

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One-way Quantum Deficit and Decoherence for Two-qubit X States

Wang

Fei

2015

Int J Theor Phys

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We study one-way quantum deficit of two-qubit X states systematically from analytical derivations. An effective approach to compute one-way quantum deficit of two-qubit X states has been provided. Analytical results are presented as for detailed examples. Moreover, we demonstrate the decoherence of one-way quantum deficit under phase damping channel.Keywords One-way quantum deficit; two-qubit X states; decoherence I. INTRODUCTIONQuantum entanglement is one of the most distinguishing properties in quantum mechanics, which gives quantum information processing novel advantages over classical information processing [1,2]. Recently, quantum correlations [3] receive much attention because they may play vital roles in quantum information processing and quantum simulation even without quantum entanglement [4,5]. The characterization and quantification of quantum correlations have become one of the significant topics in the past decade [3]. One of the quantum correlations is characterized by quantum discord [6,7] which is shown to play important roles in quantum information tasks such as quantum state discrimination [8,9], remote state preparation [10] and quantum state merging [11,12]. There have been many kinds of quantum correlations like measurement-induced disturbance [13], geometric quantum discord [14,15], relative entropy of discord [16], continuousvariable discord [17,18] etc.. However, analytical computation of these quantum correlations seem extremely difficult as optimization involved. Few analytical results have been obtained even for general two-qubit states. An analytical formula of quantum discord for Bell-diagonal states is provided in [19]. For general two-qubit X states, the analytical formula is still missed [20][21][22][23][24].Recently, the authors in [25][26][27] presented a better classification in deriving analytical quantum discord for five parameters X states.Among other quantum correlations, the quantum deficit is related to extract work from a correlated system coupled to a heat bath under nonlocal operations [28], with the work deficit defined by W t − W l , where W t is the information of the whole system and W l is the localizable arXiv:1603.03846v1 [quant-ph]

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One-Way Information Deficit and Geometry for a Class of Two-Qubit States

Cited by 16 publications

References 49 publications

ONe-Way Deficit of SU(2) Invariant States

ONe-Way Deficit of SU(2) Invariant States

Enhancement of discord and entanglement with detuning for two coupled quantum dots in a driven cavity

One-way Quantum Deficit and Decoherence for Two-qubit X States

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