Quantum steering inequality with tolerance for measurement-setting-errors: experimentally feasible signature of unbounded violation

Abstract

Quantum steering is a relatively simple test for quantumness of correlations, proving that the values of quantum-mechanical measurement outcomes come into being only in the act of measurement. By exploiting quantum correlations Alice can influence -- steer -- Bob's physical system in a way inaccessible in classical world, leading to violation of some inequalities. Demonstrating this and similar quantum effects for systems of increasing size, approaching even the classical limit, is a long-standing challenging problem. Here we provide experimentally feasible signature of unbounded violation of a steering inequality. We derive its universal form where tolerance for measurement-setting-errors is explicitly build-in by means of the Deutsch-Maassen-Uffink uncertainty relation. Then, generalizing the mutual unbiasedness, we apply the inequality to the multi-singlet and multi-particle bipartite Bell-state. However, the method is general and opens the possibility of employing multi-particle bipartite steering for randomness certification and development of quantum technologies, e.g.\ random access codes.

15 pages, 7 figures

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Cited by in corpus (20)

• Quantum Steering
• Deterministic distribution of multipartite entanglement and steering in a quantum network by separable states
• The geometry of the Einstein--Podolsky--Rosen correlations
• Remote generation of Wigner-negativity through Einstein-Podolsky-Rosen steering
• Multipartite Einstein-Podolsky-Rosen steering sharing with separable states
• Investigating Einstein-Podolsky-Rosen steering of continuous variable bipartite states by non-Gaussian pseudospin measurements
• Necessary Condition for Steerability of Arbitrary Two-Qubit States with Loss
• Experimental observation the Einstein-Podolsky-Rosen Steering based on the detection of entanglement
• The Uncertainty Principle of Quantum Processes
• Device-independent verification of Einstein-Podolsky-Rosen steering
• Incompatibility of Observables as State-Independent Bound of Uncertainty Relations
• Experimental verification of multidimensional quantum steering
• Quasi-Fine-Grained Uncertainty Relations
• Near-Optimal Variance-Based Uncertainty Relations
• Detecting the genuine multipartite two-way steerability with linear steering inequalities
• Maximal violation of steering inequalities and the matrix cube
• Diagnosing steerability of a bipartite state with the nonsteering threshold
• Averaged fidelity-based steering criteria
• Violation of steering inequality for generalized equiangular measurements
• Imprecise quantum steering inequalities in tripartite systems