Universal observable detecting all two-qubit entanglement and determinant based separability tests

Abstract

We construct a single observable measurement of which mean value on four copies of an {\it unknown} two-qubit state is sufficient for unambiguous decision whether the state is separable or entangled. In other words, there exists a universal collective entanglement witness detecting all two-qubit entanglement. The test is directly linked to a function which characterizes to some extent the entanglement quantitatively. This function is an entanglement monotone under so--called local pure operations and classical communication (pLOCC) which preserve local dimensions. Moreover it provides tight upper and lower bounds for negativity and concurrence. Elementary quantum computing device estimating unknown two-qubit entanglement is designed.

5 pages, RevTeX, one figure replaced by another, tight bounds on negativity and concurrence added, function proved to be a monotone under the pure LOCC, list of authors put in alphabetical order

References in corpus (12)

• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Experimental Analysis of a 4-Qubit Cluster State
• Entanglement Detection in the Stabilizer Formalism
• Quantifying Entanglement with Witness Operators
• An observable entanglement measure for unknown mixed quantum states
• Nonlinear entanglement witnesses
• Measuring Multipartite Concurrence with a Single Factorizable Observable
• Entanglement Detection Based on Interference and Particle Counting
• Universal quantum interfaces
• General construction of noiseless networks detecting entanglement with help of linear maps
• Beyond the standard entropic inequalities: stronger scalar separability criteria and their applications
• Rotationally invariant bipartite states and bound entanglement

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• Analysing quantum systems with randomised measurements
• Quantifying entanglement of a two-qubit system via measurable and invariant moments of its partially transposed density matrix
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