Barry Garraway 3-Published-24.01.20.pdf (755.76 kB)
Tests for Einstein-Podolsky-Rosen steering in two-mode systems of identical massive bosons
journal contribution
posted on 2023-06-09, 20:29 authored by B J Dalton, Barry M. GarrawayBarry M. Garraway, M D ReidIn a previous paper tests for entanglement for two-mode systems involving identical massive bosons were obtained. In the present paper we consider sufficiency tests for Einstein-Podolsky-Rosen (EPR) steering in such systems. We find that spin squeezing in any spin component, a Bloch vector test, the Hillery-Zubairy planar spin variance test, and squeezing in two-mode quadratures all show that the quantum state is EPR steerable. We also find a generalization of the Hillery-Zubairy planar spin variance test for EPR steering. The relation to previous correlation tests is discussed. This paper is based on a detailed classification of quantum states for bipartite systems. States for bipartite composite systems are categorized in quantum theory as either separable or entangled, but the states can also be divided differently into Bell local or Bell nonlocal states in terms of local hidden variable theory (LHVT). For the Bell local states there are three cases depending on whether both, one of or neither of the LHVT probabilities for each subsystem are also given by a quantum probability involving subsystem density operators. Cases where one or both are given by a quantum probability are known as local hidden states (LHSs) and such states are nonsteerable. The steerable states are the Bell local states where there is no LHS, or the Bell nonlocal states. The relationship between the quantum and hidden variable theory classification of states is discussed.
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Publication status
- Published
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- Published version
Journal
Physical Review AISSN
1050-2947Publisher
American Physical SocietyExternal DOI
Issue
1Volume
101Article number
a012117Department affiliated with
- Physics and Astronomy Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2020-02-03First Open Access (FOA) Date
2020-02-03First Compliant Deposit (FCD) Date
2020-01-31Usage metrics
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