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Quantum Algorithms
A simple test of quantumness for a single system
arXiv
Authors: Robert Alicki, Nicholas Van Ryn
Year
2007
Paper ID
50568
Status
Preprint
Abstract Read
~2 min
Abstract Words
85
Citations
N/A
Abstract
We propose a simple test of quantumness which can decide whether for the given set of accessible experimental data the classical model is insufficient. Take two observables A,B such that for any state ψ their mean values satisfy 0leq <ψ|A|ψ>leq <ψ|B|ψ>leq 1. If there exists a state φ such that the second moments fulfill the inequality <φ|A2|φ> ><φ|B2|φ> then the system cannot be described by the classical probabilistic scheme. An example of an optimal triple (A,B,φ) in the case of a qubit is given.
Why This Paper Matters
- It adds a 2007 reference point for readers tracking recent quantum research.
- We propose a simple test of quantumness which can decide whether for the given set of accessible experimental data the classical model is insufficient.
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