Bounds of concurrence and their relation with fidelity and frontier states

Ma, Zhihao; Zhang, Fu-Lin; Deng, Dan; Chen, Jing-Ling

doi:10.1016/j.physleta.2009.03.009

Cited by 18 publications

(21 citation statements)

References 37 publications

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“…Also, we rigorously proved that D PG is jointly convex, and numerically proved that the square of D G is jointly convex. The new metric may be used to tasks in quantum information theory, such as the geometrical entanglement measure [26], finding the bound of entanglement measure [14,27,28], characterizing the quantum phase transitions [29]. All these show that the metric D G is worthwhile studying.…”

Section: Resultsmentioning

confidence: 99%

“…Alternatively, one can define other types of distance measures for quantum states, and these also have their own advantages, see [1,11,[13][14][15][16][17][18][19][20]. Let us define a new metric of states as follows:…”

Section: Metric Induced By Super-fidelitymentioning

confidence: 99%

“…then the inequality (14) needs to be quality, that means the optimal state τ := τ(w 0 ) is always attained, where w 0 is a vector parallel to u − v, and the modulus of w 0…”

Section: Properties Of D G and D Pgmentioning

confidence: 99%

“…This property makes super-fidelity easy to calculate, and has a clear geometrical interpretation. Moreover, very recently, it was found that super-fidelity plays an important role in quantifying entanglement [14]. So it is natural to study the property of super-fidelity in further step.…”

Section: Introductionmentioning

confidence: 99%

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Super fidelity and related metrics

Chen

Zhang

et al. 2011

Open Physics

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Section: Resultsmentioning

confidence: 99%

Section: Metric Induced By Super-fidelitymentioning

confidence: 99%

“…then the inequality (14) needs to be quality, that means the optimal state τ := τ(w 0 ) is always attained, where w 0 is a vector parallel to u − v, and the modulus of w 0…”

Section: Properties Of D G and D Pgmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Super fidelity and related metrics

Chen

Zhang

et al. 2011

Open Physics

Self Cite

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“…Many works about quantifying and characterizing bipartite mixed state entanglement have been proposed using several schemes [52,53]. Basing on the simplified expression (24), we may present observable lower and upper bounds of the squared concurrence for the bipartite states in the context of su(2) algebra,…”

Section: The Case Of Mixed Statesmentioning

confidence: 99%

Nonlocal correlations for manifold quantum systems: Entanglement of two-spin states

Berrada

Mohammadzade

Abdel‐Khalek

et al. 2012

Physica E: Low-dimensional Systems and Nanostructures

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In this paper, we study the bipartite entanglement of spin coherent states in the case of pure and mixed states. By a proper choice of the subsystem spins, the entanglement for large class of quantum systems is investigated. We generalize the result to the case of bipartite mixed states using a simplified expression of concurrence in Wootters' measure of the bipartite entanglement. It is found that in some cases, the maximal entanglement of mixed states in the context of su(2) algebra can be detected. Our observations may have important implications in exploiting these states in quantum information theory.

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Parameterized Quantum Circuits for Learning Cooperative Quantum Teleportation

et al. 2022

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Quantum teleportation is an elemental process in quantum communication and many variants have been widely investigated theoretically and experimentally. Motivated by cooperation in classical communications, cooperative quantum teleportation (CQT) are developed with features of the cooperation referring to allocation of resources and operations among participants. Parameterized quantum circuit (PQC) are employed to learn the CQT protocols on account of different training scenarios with controls of gate parameters among shared entangled states, measurement, and recovery operations. Numerical results show the CQT protocols can be discovered with unit fidelity regardless of ideal or nonideal channels by training the PQCs with hybrid quantum‐classical (HQC) optimization under full cooperations of the participants. Further, the influence of quantum channel noise on the teleportation performance is explored by parameterizing the entangled states with noise and entanglement parameters under adjustable recovery operations. Simulation results indicate the trained PQC can improve the system performance, which implies the potential denoising capability of the HQC algorithms. The suggested CQT protocols satisfy the underlying properties of universality, randomness, locality and cooperation, and discussions indicate the designed quantum circuits can be optimized in view of quantum and circuit costs by appropriate optimization algorithms for achieving higher state fidelity in the future work.

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Bounds of concurrence and their relation with fidelity and frontier states

Cited by 18 publications

References 37 publications

Super fidelity and related metrics

Super fidelity and related metrics

Nonlocal correlations for manifold quantum systems: Entanglement of two-spin states

Parameterized Quantum Circuits for Learning Cooperative Quantum Teleportation

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