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All-versus-nothing proof of Einstein-Podolsky-Rosen steering
- Source :
- Scientific Reports, idUS. Depósito de Investigación de la Universidad de Sevilla, instname, idUS: Depósito de Investigación de la Universidad de Sevilla, Universidad de Sevilla (US)
- Publication Year :
- 2013
-
Abstract
- Einstein-Podolsky-Rosen steering is a form of quantum nonlocality intermediate between entanglement and Bell nonlocality. Although Schr\"odinger already mooted the idea in 1935, steering still defies a complete understanding. In analogy to "all-versus-nothing" proofs of Bell nonlocality, here we present a proof of steering without inequalities rendering the detection of correlations leading to a violation of steering inequalities unnecessary. We show that, given any two-qubit entangled state, the existence of certain projective measurement by Alice so that Bob's normalized conditional states can be regarded as two different pure states provides a criterion for Alice-to-Bob steerability. A steering inequality equivalent to the all-versus-nothing proof is also obtained. Our result clearly demonstrates that there exist many quantum states which do not violate any previously known steering inequality but are indeed steerable. Our method offers advantages over the existing methods for experimentally testing steerability, and sheds new light on the asymmetric steering problem.<br />Comment: 7 pages, 2 figures. Accepted in Sci. Rep
- Subjects :
- Quantum Physics
Multidisciplinary
Quantum information
Computer science
FOS: Physical sciences
Analogy
State (functional analysis)
Quantum entanglement
Mathematical proof
Quantum mechanics
Article
Rendering (computer graphics)
Quantum nonlocality
symbols.namesake
Theoretical physics
Theoretical Physics
Quantum state
symbols
EPR paradox
Quantum Physics (quant-ph)
Qubits
Subjects
Details
- ISSN :
- 20452322
- Volume :
- 3
- Database :
- OpenAIRE
- Journal :
- Scientific reports
- Accession number :
- edsair.doi.dedup.....3c57076f18f297abb764f0fa456854d4