4.7 Article

Nonlinear steering criteria for arbitrary two-qubit quantum systems

Journal

QUANTUM INFORMATION PROCESSING
Volume 20, Issue 2, Pages -

Publisher

SPRINGER
DOI: 10.1007/s11128-020-02954-5

Keywords

Quantum steering; Nonlocality; Entanglement; Covariance matrices

Funding

  1. National Natural Science Foundation of China (NSFC) [11947102]
  2. Natural Science Foundation of Anhui Province [2008085MA16, 2008085QA26]
  3. Key Program of West Anhui University [WXZR201819]
  4. Research Fund for high-level talents of West Anhui University [WGKQ202001004]

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This study introduces nonlinear steering criteria for arbitrary and symmetric quantum states, which can certify more steerable states and verify entanglement.
By employing Pauli measurements, we present some nonlinear steering criteria applicable for arbitrary two-qubit quantum systems and optimized ones for symmetric quantum states. These criteria provide sufficient conditions to witness steering, which can recover the previous elegant results for some well-known states. Compared with the existing linear steering criterion and entropic criterion, ours can certify more steerable states without selecting measurement settings or correlation weights, which can also be used to verify entanglement as all steerable quantum states are entangled.

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