Constraint Relation Between Steerability and Concurrence for Two‐Qubit States

Fan, Xiao-Gang; Yang, Huan; Ming, Fei; Wang, Dong; Liu, Ye

doi:10.1002/andp.202100098

Cited by 13 publications

(9 citation statements)

References 25 publications

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“…In general, the maximum violation degree of the steering inequality is used to quantify the steerablity of a quantum state. The maximum violation of (8) can be written as [24]…”

Section: Three-measurement Steering Criterionmentioning

confidence: 99%

Research on quantum correlations and Uhlmann phase in two-fermion mixed state system

Yao,

Fan,

Song

et al. 2024

Phys. Scr.

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Geometric phase, characterized by its unique properties has been an interesting subject since the discovery of Berry phase. A state inevitably becomes a mixed state in the environment. Uhlmann phase can be applied to mixed states and may be the generalization of Berry phase. In this paper, we use a pair of interacting spin-1/2 fermions, where one particle is inﬂuenced by an external magnetic ﬁeld, while the other remains unaffected, to investigate quantum correlations and Uhlmann phase. Through calculation, we get the speciﬁc parameter range q4+g2 ”4+2g2

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“…In general, the maximum violation degree of the steering inequality is used to quantify the steerablity of a quantum state. The maximum violation of (8) can be written as [24]…”

Section: Three-measurement Steering Criterionmentioning

confidence: 99%

Research on quantum correlations and Uhlmann phase in two-fermion mixed state system

Yao,

Fan,

Song

et al. 2024

Phys. Scr.

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“…The steering measures given in ( 11 ) can be rewritten in terms of the correlation matrix R as follows: The Costa–Angelo measure of steering in the 3MS is sometimes modified as (see, e.g., Refs. 35 , 41 ): and we also apply this measure in the following, because of a useful property that S reduces to the negativity and concurrence for any two-qubit pure states. Note that and they are monotonically related to each other for any two-qubit states: For the GWSs, described by the correlation matrix R given in Eq.…”

Section: Measures Of Quantum Correlations For Werner and Werner-like ...mentioning

confidence: 99%

Experimental hierarchy of two-qubit quantum correlations without state tomography

Abo

Soubusta

Jiráková

et al. 2023

Sci Rep

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A Werner state, which is the singlet Bell state affected by white noise, is a prototype example of states, which can reveal a hierarchy of quantum entanglement, steering, and Bell nonlocality by controlling the amount of noise. However, experimental demonstrations of this hierarchy in a sufficient and necessary way (i.e., by applying measures or universal witnesses of these quantum correlations) have been mainly based on full quantum state tomography, corresponding to measuring at least 15 real parameters of two-qubit states. Here we report an experimental demonstration of this hierarchy by measuring only six elements of a correlation matrix depending on linear combinations of two-qubit Stokes parameters. We show that our experimental setup can also reveal the hierarchy of these quantum correlations of generalized Werner states, which are any two-qubit pure states affected by white noise.

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“…The Costa-Angelo measure S 3 of steering in the 3MS is sometimes modified as (see, e.g., Refs. [35,40]):…”

Section: Quantum Steering Measuresmentioning

confidence: 99%

“…More specifically, estimating the range of a measure of a given type of quantum correlation for a certain value of a measure (or bounds) of another type of quantum correlations were reported for arbitrary or specific classes of two-qubit states. These estimations include comparisons of: (i) entanglement and Bell nonlocality [30][31][32][33], (ii) steering and Bell nonlocality [34], as well as (iii) entanglement and steering [35]. Note that such estimations can also be applied to compare nonequivalent measures describing the same type of correlations, including two-qubit entanglement [36] or singlequbit nonclassicality [37].…”

Section: Introductionmentioning

confidence: 99%

Experimental hierarchy of two-qubit quantum correlations without state tomography

Abo¹,

Soubusta²,

Jiráková³

et al. 2023

Preprint

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A Werner state, which is the singlet Bell state affected by white noise, is a prototype example of states, which can reveal a hierarchy of quantum entanglement, steering, and Bell nonlocality by controlling the amount of noise. However, experimental demonstrations of this hierarchy in a sufficient and necessary way (i.e., by applying measures or universal witnesses of these quantum correlations) required so far full quantum state tomography, which is based on measuring at least 15 real parameters of two-qubit states. Here we report an experimental demonstration of this hierarchy by measuring only six elements of a correlation matrix depending on linear combinations of twoqubit Stokes parameters. We show that our experimental setup can also reveal the hierarchy of these quantum correlations of generalized Werner states, which are any two-qubit pure states affected by white noise.

show abstract

Constraint Relation Between Steerability and Concurrence for Two‐Qubit States

Cited by 13 publications

References 25 publications

Research on quantum correlations and Uhlmann phase in two-fermion mixed state system

Research on quantum correlations and Uhlmann phase in two-fermion mixed state system

Experimental hierarchy of two-qubit quantum correlations without state tomography

Experimental hierarchy of two-qubit quantum correlations without state tomography

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