Closing loopholes of measurement-device-independent nonlinear entanglement witnesses
arXiv:2203.07192 · doi:10.1103/PhysRevA.108.052426
Abstract
The concept of entanglement witnesses form a useful technique to detect entanglement in realistic quantum devices. Measurement-device-independent nonlinear entanglement witnesses (MDI-NEWs) are a kind of entanglement witnesses which eliminate dependence on the correct alignments of measurement devices for guaranteeing the existence of entanglement and also detect more entangled states than their linear counterparts. While this method guarantees entanglement independent of measurement alignments, they are still prone to serving wrong results due to other loopholes. Here we study the response of MDI-NEWs to two categories of faults occurring in experiments. In the first category, the detection loophole, characterized by lost and additional events of outcomes of measurements, is investigated, and bounds which guarantee entanglement are obtained in terms of the efficiency of measurement being performed. In the second category, we study noise associated with the sets of additional quantum inputs required in MDI-NEW scenarios. In this case, a type of noise is identified which still allows the MDI-NEWs to guarantee entanglement. We also show that MDI-NEWs are less or equally robust in comparison to their linear counterparts under the same noise in additional quantum inputs, although the former group detects a larger volume of entangled states in the noiseless scenario than their linear cousins.
arXiv comment9 pages
References in corpus (53)
- Quantum entanglement
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Entanglement detection
- Significant-loophole-free test of Bell's theorem with entangled photons
- A strong loophole-free test of local realism
- Separability criterion and inseparable mixed states with positive partial transposition
- Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
- Bell Inequalities and the Separability Criterion
- Preparation and Measurement of Three-Qubit Entanglement in a Superconducting Circuit
- Experimental ten-photon entanglement
- 12-photon entanglement and scalable scattershot boson sampling with optimal entangled-photon pairs from parametric down-conversion
- Observation of Entangled States of a Fully Controlled 20-Qubit System
- Separable states are more disordered globally than locally
- Implementing a strand of a scalable fault-tolerant quantum computing fabric
- Device-independent witnesses of genuine multipartite entanglement
- All Entangled Quantum States Are Nonlocal
- Tunable ion-photon entanglement in an optical cavity
- Cosmic Bell Test using Random Measurement Settings from High-Redshift Quasars
- Reflections upon separability and distillability
- Measurement-Device-Independent Entanglement Witnesses for All Entangled Quantum States
- A local hidden variable model of quantum correlation exploiting the detection loophole
- Sufficient conditions for three-particle entanglement and their tests in recent experiments
- Nonlinear entanglement witnesses
- Imperfect measurements settings: implications on quantum state tomography and entanglement witnesses
- Optimal entanglement witnesses based on local orthogonal observables
- Entanglement criteria based on local uncertainty relations are strictly stronger than the computable cross norm criterion
- Determining lower bounds on a measure of multipartite entanglement from few local observables
- Detection Loophole in Bell experiments: How post-selected local correlations can look non-local
- Entanglement verification with realistic measurement devices via squashing operations
- Local commutativity versus Bell inequality violation for entangled states and versus non-violation for separable states
- Sequential measurement-device-independent entanglement detection by multiple observers
- Entanglement witnesses and a loophole problem
- Nonlinear entanglement witnesses, covariance matrices and the geometry of separable states
- Fraction of isospectral states exhibiting quantum correlations
- Iterations of nonlinear entanglement witnesses
- Experimental measurement of the collectibility of two-qubit states
- Reliable Entanglement Verification
- Universal nonlinear entanglement witnesses
- Complete list of Bell inequalities with four binary settings
- Using macroscopic entanglement to close the detection loophole in Bell inequality
- Measurement-device-independent entanglement detection for continuous-variable systems
- Closing the detection loophole in tripartite Bell tests using the W state
- Detecting three-qubit bound MUB diagonal entangled states via Nonlinear optimal entanglement witnesses
- Violating Bell inequalities with entangled optical frequency combs and multi-pixel homodyne detection
- Device-Independent Bounds on Detection Efficiency
- Beating detection loophole in nonlinear entanglement witnesses
- Detection loophole in measurement-device-independent entanglement witness
- On witnessing arbitrary bipartite entanglement in a measurement device independent way
- Noisy quantum input loophole in measurement-device-independent entanglement witnesses
- Nonlinear entanglement witnesses for four qubits in mutually unbiased bases
- Measurement-device-independent nonlinear entanglement witnesses