Journal
PHYSICAL REVIEW A
Volume 81, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.81.052318
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Funding
- European Qubit Applications Project
- COMPAS
- PERCENT
- Spanish MEC [FIS2007-60182]
- Consolider-Ingenio Quantum Optical Information Technology projects
- Generalitat de Catalunya
- Caixa Manresa
- ICREA Funding Source: Custom
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Quantum discord quantifies nonclassical correlations in a quantum system including those not captured by entanglement. Thus, only states with zero discord exhibit strictly classical correlations. We prove that these states are negligible in the whole Hilbert space: typically a state picked out at random has positive discord and, given a state with zero discord, a generic arbitrarily small perturbation drives it to a positive-discord state. These results hold for any Hilbert-space dimension and have direct implications for quantum computation and for the foundations of the theory of open systems. In addition, we provide a simple necessary criterion for zero quantum discord. Finally, we show that, for almost all positive-discord states, an arbitrary Markovian evolution cannot lead to a sudden, permanent vanishing of discord.
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