Measurement-induced nonlocality over two-sided projective measurements
arXiv:1204.0565 · doi:10.1142/S0217979213500677
Abstract
Measurement-induced nonlocality (MiN), introduced by Luo and Fu [Phys. Rev. Lett. 106(2011)120401], is a kind of quantum correlation that beyond entanglement and even beyond quantum discord. Recently, we extended MiN to infinite-dimensional bipartite system [arXiv:1107.0355]. MiN is defined over one-sided projective measurements. In this letter we introduce a measurement-induced nonlocality over two-sided projective measurements. The nullity of this two-sided MiN is characterized, a formula for calculating two-sided MiN for pure states is proposed, and a lower bound of (two-sided) MiN for maximally entangled mixed states is given. In addition, we find that (two-sided) MiN is not continuous. The two-sided geometric measure of quantum discord (GMQD) is introduced in [Phys. Lett. A 376(2012)320--324]. We extend it to infinite-dimensional system and then compare it with the two-sided MiN. Both finite- and infinite-dimensional cases are considered.
12 pages
References in corpus (14)
- Entanglement detection
- The classical-quantum boundary for correlations: discord and related measures
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- Remote state preparation: arbitrary remote control of photon polarization
- Dynamics of entropic measurement-induced nonlocality in structured reservoirs
- Measurement-induced nonlocality based on the relative entropy
- A characterization of positive linear maps and criteria of entanglement for quantum states
- Constructing entanglement witnesses for infinite-dimensional systems
- Positive finite rank elementary operators and characterizing entanglement of states
- When different entanglement witnesses detect entangled states simultaneously
- Monogamy of Measurement Induced Non-Locality
- Measurement-induced nonlocality for an arbitrary bipartite state
- Concurrence for infinite-dimensional quantum systems