• Corpus ID: 251442853

Quantum entanglement: an overview of the separability problem in two quantum bits

  title={Quantum entanglement: an overview of the separability problem in two quantum bits},
  author={Honorine Gnonfin and Laure Gouba},
The separability problem is one of the basic and emergent problems in present and future quantum information processing. The latter focuses on information and com-puting based on quantum mechanics and uses quantum bits as its basic information units. In this paper we present an overview of the progress in the separability problem in bipartite systems, more specifically in two quantum bits (qubits) system, from the criterion based on the Bell’s inequalities in 1964 to the Li-Qiao criterion and… 



A Necessary and Sufficient Criterion for the Separability of Quantum State

In this work, an operational necessary and sufficient criterion for the separability of an arbitrary bipartite mixed state is proposed, by virtue of the multiplicative Horn’s problem.

Quantum computation and quantum information

  • T. Paul
  • Physics
    Mathematical Structures in Computer Science
  • 2007
This special issue of Mathematical Structures in Computer Science contains several contributions related to the modern field of Quantum Information and Quantum Computing. The first two papers deal

Entanglement detection

Entanglement of a Pair of Quantum Bits

The ``entanglement of formation'' of a mixed state \ensuremath{\rho} of a bipartite quantum system can be defined as the minimum number of singlets needed to create an ensemble of pure states that

Entangled quantum systems and the Schmidt decomposition

Quantum systems comprised of interacting subsystems become highly correlated and their individual identities become entangled. This entanglement can be described using the Schmidt decomposition, in

Characterizing entanglement with geometric entanglement witnesses

We show how to detect entangled, bound entangled and separable bipartite quantum states of arbitrary dimension and mixedness using geometric entanglement witnesses. These witnesses are constructed

Characterizing entanglement via uncertainty relations.

  • O. Gühne
  • Mathematics
    Physical review letters
  • 2004
A family of necessary separability criteria for finite-dimensional systems is derived based on inequalities for variances of observables based on covariance matrices and it is shown that every pure bipartite entangled state violates some of these inequalities.

Enhanced entanglement criterion via symmetric informationally complete measurements

We show that a special type of measurements, called symmetric informationally complete positive operator-valued measures (SIC POVMs), provide a stronger entanglement detection criterion than the

Experimental determination of entanglement with a single measurement

A linear optics experiment is reported in which a pure-state entanglement measure is directly observed, namely concurrence, which is measured with a single, local measurement on just one of the photons.