Entanglement detection

By Otfried Gühne, Géza Tóth. 2008

2,149 citations recorded by the source corpus.

How can one prove that a given state is entangled? In this paper we review different methods that have been proposed for entanglement detection. We first explain the basic elements of entanglement theory for two or more particles and then entanglement verification procedures such as Bell inequalities, entanglement witnesses, the determination of nonlinear properties of a quantum state via measurements on several copies, and spin squeezing inequalities. An emphasis is given on the theory and application of entanglement witnesses. We also discuss several experiments, where some of the presented methods have been implemented.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/81f9da80cf921a99e9a3c6d195dfb1d2d8aa8b35

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantum steering (2019, methodology): “This approach of detecting steerability has a natural connection to the task of entanglement verification (Gühne and Tóth, 2009) and many concepts are similar to the case of entanglement detection.”
Entanglement in a Quantum Annealing Processor (2014, background): “For an open system described by a thermal density matrix ρ, concurrence C is defined as [16,18]”
Observation of entangled states of a fully-controlled 20 qubit system (2017, background): “However, if the density matrix is close to a given pure target state jψTi, then targeted witnesses can be constructed to detect its entanglement without resorting to full tomography [16].”
Measuring multipartite entanglement through dynamic susceptibilities (2015, background): “It shares this fate with other entanglement witnesses [1, 47] (for some recent applications to quantum many-body experiments, see Refs.”
Faithful Squashed Entanglement (2010, background): “The POVM element maximising the left hand side is a so-called entanglement witness [15, 71]: its expectation value on the entangled state ρ is bigger than its expectation value on any separable state.”
Measuring entanglement entropy in a quantum many-body system (2015, background): “In these systems, specific entangled states of few qubits, such as the highly entangled Greenberger-Horne-Zeilinger (GHZ) state [27] have been experimentally created and detected using witness operators [28].”
Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator (2016, background): “However, measuring entanglement entropy is always challenging [28].”