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Quantum steerability based on joint measurability.

Zhihua Chen1, Xiangjun Ye2,3, Shao-Ming Fei4,5

  • 1Department of Mathematics, College of Science, Zhejiang University of Technology, Hangzhou, 310023, China.

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|November 19, 2017
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Summary
This summary is machine-generated.

We introduce a new analytical method to quantify Einstein-Podolsky-Rosen (EPR) steering in two-qubit quantum states. This work provides a formula for steerability and identifies one-way steerable states.

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Area of Science:

  • Quantum Information Science
  • Quantum Foundations
  • Quantum Optics

Background:

  • Einstein-Podolsky-Rosen (EPR) steering is a quantum phenomenon between entanglement and Bell nonlocality.
  • Characterizing and quantifying EPR steering are crucial for quantum information processing.
  • Analytical methods for quantifying steerability are scarce.

Purpose of the Study:

  • To develop an analytical method for quantifying steerability in two-qubit quantum states.
  • To explore the connection between joint measurability and EPR steering.
  • To identify conditions for EPR steering and discover one-way steerable states.

Main Methods:

  • Utilizing the relationship between joint measurability and steerability.
  • Deriving an analytical formula for the steerability of X-states.
  • Establishing sufficient and necessary conditions for two-setting EPR steering.

Main Results:

  • An analytical formula for quantifying steerability in a class of two-qubit X-states is derived.
  • Sufficient and necessary conditions for two-setting EPR steering are established.
  • A class of asymmetric, one-way steerable states is identified.

Conclusions:

  • The proposed method provides an analytical approach to quantify EPR steering.
  • The findings contribute to a deeper understanding of quantum correlations and steerability.
  • The identification of one-way steerable states opens avenues for asymmetric quantum information tasks.