Novel Schemes for Directly Measuring Entanglement of General States

Abstract

An intrinsic relation between maximally entangled states and entanglement measures is revealed, which plays a role in establishing connections for different entanglement quantifiers. We exploit the basic idea and propose a framework to construct schemes for directly measuring entanglement of general states. In particular, we demonstrate that rank-1 local factorizable projective measurements, which are achievable with only one copy of entangled state involved at a time in a sequential way, are sufficient to directly determine the concurrence of arbitrary two-qubit entangled state.

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• Entanglement detection
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• Observable measure of bipartite quantum correlations
• Entanglement dynamics of a many-body localized system coupled to a bath
• Detecting entanglement in quantum many-body systems via permutation moments
• Direct scheme for measuring the geometric quantum discord
• Entanglement detection in arbitrary dimensional bipartite quantum systems through partial realigned moments
• Bound entanglement in quantum phase transitions
• Viable entanglement detection of unknown mixed states in low dimensions
• Certifying Quantum Temporal Correlation via Randomized Measurements: Theory and Experiment
• Dynamics of Negativity of a Wannier-Stark Many-Body Localized System Coupled to a Bath
• Measurable genuine tripartite entanglement of ($2\otimes 2\otimes n$)-dimensional quantum states via only two simultaneous copies
• Total quantum coherence and its applications
• Singular value transformation for unknown quantum channels