6533b834fe1ef96bd129cc2c
RESEARCH PRODUCT
Quantifying nonclassicality: global impact of local unitary evolutions
Alexander StreltsovFabrizio IlluminatiSalvatore Marco GiampaoloDagmar BrußWojciech Rogasubject
High Energy Physics - TheoryQuantum t-designquantum discordFOS: Physical sciencesQuantum Hall effect01 natural sciencesUnitary state010305 fluids & plasmasQuantum mechanics0103 physical sciencesQuantum phase estimation algorithmQuantum operationStatistical physics010306 general physicsQuantumMathematical PhysicsPhysicsQuantum discordQuantum PhysicsMathematical Physics (math-ph)Atomic and Molecular Physics and OpticsCondensed Matter - Other Condensed MatterHigh Energy Physics - Theory (hep-th)Norm (mathematics)Quantum Physics (quant-ph)Other Condensed Matter (cond-mat.other)description
We show that only those composite quantum systems possessing nonvanishing quantum correlations have the property that any nontrivial local unitary evolution changes their global state. We derive the exact relation between the global state change induced by local unitary evolutions and the amount of quantum correlations. We prove that the minimal change coincides with the geometric measure of discord (defined via the Hilbert- Schmidt norm), thus providing the latter with an operational interpretation in terms of the capability of a local unitary dynamics to modify a global state. We establish that two-qubit Werner states are maximally quantum correlated, and are thus the ones that maximize this type of global quantum effect. Finally, we show that similar results hold when replacing the Hilbert-Schmidt norm with the trace norm.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-06-18 |