Efficient measurement-device-independent detection of multipartite entanglement structure
arXiv:1607.08002 · doi:10.1103/PhysRevA.94.012343
Abstract
Witnessing entanglement is crucial in quantum information processing. With properly preparing ancillary states, it has been shown previously that genuine entanglement can be witnessed without trusting measurement devices. In this work, we generalize the scenario and show that generic multipartite entanglement structures, including entanglement of subsystems and entanglement depth, can be witnessed via measurement-device-independent means. As the original measurement-device-independent entanglement witness scheme exploits only one out of four Bell measurement outcomes for each party, a direct generalization to multipartite quantum states will inevitably cause inefficiency in entanglement detection after taking account of statistical fluctuations. To resolve this problem, we also present a way to utilize all the measurement outcomes. The scheme is efficient for multipartite entanglement detection and can be realized with state-of-the-art technologies.
arXiv comment20 pages, 1 figure, comments are welcome
References in corpus (33)
- Quantum entanglement
- Separability of Mixed States: Necessary and Sufficient Conditions
- Quantum Computing
- Three qubits can be entangled in two inequivalent ways
- Quantum-enhanced measurements: beating the standard quantum limit
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Bell nonlocality
- Entanglement detection
- Measurement-device-independent quantum key distribution
- Significant-loophole-free test of Bell's theorem with entangled photons
- A strong loophole-free test of local realism
- Classification of mixed three-qubit states
- Entanglement and Extreme Spin Squeezing
- All Entangled Quantum States Are Nonlocal
- Multipartite entanglement in spin chains
- Entanglement witnesses: construction, analysis and classification
- The structure of multidimensional entanglement in multipartite systems
- Measurement-Device-Independent Entanglement Witnesses for All Entangled Quantum States
- Multipartite Entanglement Witnesses
- Sufficient conditions for three-particle entanglement and their tests in recent experiments
- Four-qubit entanglement from string theory
- Testing the Structure of Multipartite Entanglement with Bell Inequalities
- Family of Bell-like inequalities as device-independent witnesses for entanglement depth
- The effects of reduced "free will" on Bell-based randomness expansion
- Violation of local realism vs detection efficiency
- Implementation of a Measurement-Device-Independent Entanglement Witness
- Resource-efficient measurement device independent entanglement witness
- Structural Quantification of Entanglement
- Correlations of entangled quantum states cannot be classically simulated
- Randomness Requirement on CHSH Bell Test in the Multiple Run Scenario
- Locality, detection efficiencies, and probability polytopes
- Reliable and robust entanglement witness
- Clauser-Horne Bell test with imperfect random inputs
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