Joint Measurability and Temporal Steering
arXiv:1412.0871 · doi:10.1364/JOSAB.32.000A34
Abstract
Quintino et. al. (Phys. Rev. Lett. 113, 160402 (2014)) and Uola et. al. (Phys. Rev. Lett. 113, 160403 (2014)) have recently established an intrinsic relation between non-joint measurability and Einstein-Podolsky- Rosen steering. They showed that a set of measurements is incompatible (i.e., not jointly measurable) if and only if it can be used for the demonstration of steering. In this paper, we prove the temporal analog of this result viz., a set of measurements are incompatible if and only if it exhibits temporal steering.
6 pages,no figures, typos corrected, improved presentation; To appear in JOSA B feature issue "80 years of Steering and the Einstein-Podolsky-Rosen Paradox"
References in corpus (28)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Leggett-Garg Inequalities
- Experimental violation of a Bell's inequality in time with weak measurement
- Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality
- Specker's Parable of the Over-protective Seer: A Road to Contextuality, Nonlocality and Complementarity (PLUS AN ERRATUM)
- Violation of a Leggett-Garg inequality with ideal non-invasive measurements
- Joint measurability of generalized measurements implies classicality
- Measurements incompatible in Quantum Theory cannot be measured jointly in any other local theory
- Condition for macroscopic realism beyond the Leggett-Garg inequalities
- Violation of a temporal Bell inequality for single spins in solid by over 50 standard deviations
- Notes on Joint Measurability of Quantum Observables
- Non-disturbing quantum measurements
- A temporal steering inequality
- Degree of Complementarity Determines the Nonlocality in Quantum Mechanics
- A scattering quantum circuit for measuring Bell's time inequality: a nuclear magnetic resonance demonstration using maximally mixed states
- Violation of Entropic Leggett-Garg Inequality in Nuclear Spins
- Commutative POVMs and Fuzzy Observables
- Quantum realization of arbitrary joint measurability structures
- Joint measurements of spin, operational locality and uncertainty
- Macrorealism from entropic Leggett-Garg inequalities
- Coexistence does not imply joint measurability
- Minimal state-dependent proof of measurement contextuality for a qubit
- Joint measurements and Bell inequalities
- Coexistence and Joint Measurability in Quantum Mechanics
- Joint measurability, steering and entropic uncertainty
- Using Temporal Entanglement to Perform Thermodynamical Work
- Entropic uncertainty assisted by temporal memory
Cited by in corpus (16)
- An Invitation to Quantum Incompatibility
- Quantifying Non-Markovianity with Temporal Steering
- Temporal steering and security of quantum key distribution with mutually-unbiased bases against individual attacks
- Temporal Steering in Four Dimensions with applications to coupled qubits and magnetoreception
- Spatio-Temporal Steering for Testing Nonclassical Correlations in Quantum Networks
- Unified picture for spatial, temporal and channel steering
- Measurement incompatibility and quantum advantage in communication
- Quantum measurement incompatibility in subspaces
- Necessary and sufficient condition for joint measurability
- Thermodynamic Approach to Quantifying Incompatible Instruments
- Quantum temporal steering in a dephasing channel with quantum criticality
- N term pairwise correlation inequalities, steering and joint measurability
- Protecting temporal correlations of two-qubit states using quantum channels with memory
- Tailoring the quantumness of a driven qubit
- Experimental simulation of quantum temporal steering beyond rotating-wave approximation
- Classifying Measurement Incompatibility under Classical Pre- and Post-Processing Operations