Journal
PHYSICAL REVIEW LETTERS
Volume 101, Issue 9, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.101.090403
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Funding
- the Austrian Science Foundation FWF [P19570-N16]
- the European Commission through Project QAP [015846]
- the FWF Doctoral Program CoQuS
- the Austrian Academy of Sciences
- Austrian Science Fund (FWF) [P19570] Funding Source: Austrian Science Fund (FWF)
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Why do we not experience a violation of macroscopic realism in everyday life. Normally, no violation can be seen either because of decoherence or the restriction of coarse-grained measurements, transforming the time evolution of any quantum state into a classical time evolution of a statistical mixture. We find the sufficient condition for these classical evolutions for spin systems under coarse-grained measurements. However, there exist nonclassical Hamiltonians whose time evolution cannot be understood classically, although at every instant of time the quantum state appears as a classical mixture. We suggest that such Hamiltonians are unlikely to be realized in nature because of their high computational complexity.
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