Detecting Entanglement of Unknown Quantum States with Random Measurements

Abstract

In quantum information theory, the reliable and effective detection of entanglement is of paramount importance. However, given an unknown state, assessing its entanglement is a challenging task. To attack this problem, we investigate the use of random local measurements, from which entanglement witnesses are then constructed via semidefinite programming methods. We propose a scheme of successively increasing the number of measurements until the presence of entanglement can be unambiguously concluded, and investigate its performance in various examples.

7 pages, 4 figures, 1 table; v2: added a reference; v3: replaced with published version

References in corpus (10)

• Entanglement detection
• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Taming multiparticle entanglement
• Quantifying Entanglement with Witness Operators
• Imperfect measurements settings: implications on quantum state tomography and entanglement witnesses
• Systematic errors in current quantum state tomography tools
• Algorithm for characterizing stochastic local operations and classical communication classes of multiparticle entanglement
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• Detecting Entanglement of Unknown Quantum States with Random Measurements

Cited by in corpus (10)

• Semidefinite programming relaxations for quantum correlations
• Single-copy entanglement detection
• Entanglement detection on an NMR quantum information processor using random local measurements
• Detecting Entanglement of Unknown Quantum States with Random Measurements
• A class of Bell diagonal entanglement witnesses in ${\mathbb{C}}^4\otimes {\mathbb{C}}^4$: optimization and the spanning property
• Quantum Atom Optics: Theory and Applications to Quantum Technology
• Device-Independent Bounds on Detection Efficiency
• Detecting entanglement of unknown states by violating the Clauser-Horne-Shimony-Holt inequality
• Sample Complexity of Black Box Work Extraction
• Generation and Detection of Quantum Correlations and Entanglement on a Spin-Based Quantum Information Processor