Correlation-induced coherence and its use in detecting quantum phase transitions

Du, Ming‐Ming; Khan, Abdul Sattar; Zhou, Zhao-Yi; Zhang, Da-Jian

doi:10.1007/s11433-022-1958-y

Cited by 6 publications

(3 citation statements)

References 94 publications

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“…The exploration concerning the QC arises from the rigorous framework for measuring coherence of quantum state [17]. In the last ten years, the field of the QC has achieved remarkable progress, including resource theory of the QC [17][18][19][20][21], the dynamic of the QC [22][23][24][25][26][27][28], and the quantification of the QC [17,[29][30][31][32][33][34][35]. One can witness the QC of system via l 1 norm of coherence [17], relative entropy of coherence [17], robustness of coherence [32,33], skew information of coherence [29,30], and so on.…”

Section: Introductionmentioning

confidence: 99%

Suppressing the degeneration of quantum resources through coupling auxiliary qubits

Xing,

Yang,

Kong

et al. 2024

Phys. Scr.

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The nonlocal advantage of quantum coherence (NAQC), quantum coherence (QC), and quantum entanglement are promising quantum resources to achieve various quantum information tasks. However, the decoherence of quantum resource is detrimental to the implementation of quantum information processing, and it brings enormous challenge to the application of quantum resource. Here, consider that Alice and Bob possess a two-qubit X state, and the two-qubit X state is composed of two atoms. Bob’s atom interacts with a reservoir, and Alice’s atom is subjected to the inﬂuence of amplitude damping channel. We design an eﬀective scheme by coupling auxiliary qubits with reservoir, and this scheme can signiﬁcantly suppress the dissipation of the NAQC, QC, and quantum entanglement. The results reveal that the NAQC, QC, and quantum entanglement degenerate with the increase of time t in the strong coupling regime or weak coupling regime when absenting auxiliary qubits. If one adds some auxiliary qubits in the reservoir, these quantum resources can be strengthened both in the strong coupling regime and weak coupling regime. Auxiliary qubits can help us eﬀectively resist the dissipation of these quantum resources. In comparison with the QC and quantum entanglement, the NAQC is most fragile and it is most vulnerable to the inﬂuences of reservoir and noise channel. One needs introduce more auxiliary qubits to suppress the dissipation of the NAQC, especially in the scenarios of the weak coupling regime and strong channel parameter. In this sense, our investigations may provide a potent technique for restraining decoherence and oﬀer a new platform for quantum resource application.

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Section: Introductionmentioning

confidence: 99%

Suppressing the degeneration of quantum resources through coupling auxiliary qubits

Xing,

Yang,

Kong

et al. 2024

Phys. Scr.

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show abstract

“…Recently, many coherence measures have been successfully developed to characterize QPTs. [9][10][11][12][13][14][15][16][17][18][19][20][21][22] One of them is the SQC. [18,20,23] The SQC characterizes a hybrid of the two notions of correlations and coherence.…”

Section: Introductionmentioning

confidence: 99%

Steered Quantum Coherence as a Signature of Topological Quantum Phase Transitions in the Extended XY Model

Zhong

et al. 2023

Annalen der Physik

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In recent years, there has been a surge of interest in exploring coherence measures and correlation measures to characterize topological quantum phase transitions (TQPTs). Here, motivated by the continued push in this direction, the steered quantum coherence (SQC) in the extended XY model is studied to analyze its capability in characterizing TQPTs. It is shown that the first derivative of SQC succeeds in signaling different critical points of TQPTs. In particular, it is found that the SQC is a long‐range correlation and the first derivative of SQC can always accurately identify TQPTs for different site distance.

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“…Meanwhile, coherence can also be used to depict the interference capability of interacting fields in quantum optics research. [8][9][10][11][12] Beyond this, there have been various efforts to ascertain the interrelations between coherence and correlations, [13][14][15][16][17][18][19][20] and these relations are essential for predicting the coherent transfer in researched quantum systems. Various coherence measures have been established to quantify coherence.…”

Section: Introductionmentioning

confidence: 99%

Visualizing and witnessing first-order coherence, Bell nonlocality and purity by using a quantum steering ellipsoid in the non-inertial frame

Yang

Xing

Du³

et al. 2023

Chinese Phys. B

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Quantum steering ellipsoid (QSE) is a visual characterization for bipartite-qubit systems, and it is also a novel avenue for describing and detecting quantum correlations. Herein, by using the QSE, we visualize and witness the first-order coherence (FOC), the Bell nonlocality (BN), and the purity under the non-inertial frames. Also, the collective influences of the depolarizing channel and the non-coherence-generating channel (NCGC) on the FOC, the BN, and the purity are investigated in the QSE formalism. The results reveal that the distance from the center of QSE to the center of the Bloch sphere visualizes the FOC of bipartite system, the lengths of QSE semiaxis visualize the BN, and the QSE’s shape and position dominant the purity of system. One can capture the FOC, the BN, and the purity via the shape and position of the QSE in the non-inertial frames. The depolarizing channel (The NCGC) gives rise to the shrinking and degrading (the periodical oscillation) of the QSE. One can use these traits to visually characterize and detect the FOC, the BN, and the purity under the influences of external noises. Of particular note is that the condition for the QSE achieving the Bloch sphere’s center cannot be influenced by the depolarizing channel and the NCGC. The characteristics visualize that the conditions of the FOC disappearance are invariant under the additional influences of depolarizing channel and the NCGC, respectively.

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Correlation-induced coherence and its use in detecting quantum phase transitions

Cited by 6 publications

References 94 publications

Suppressing the degeneration of quantum resources through coupling auxiliary qubits

Suppressing the degeneration of quantum resources through coupling auxiliary qubits

Steered Quantum Coherence as a Signature of Topological Quantum Phase Transitions in the Extended XY Model

Visualizing and witnessing first-order coherence, Bell nonlocality and purity by using a quantum steering ellipsoid in the non-inertial frame

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