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UID:6abfb55ac09fb
DTSTART:20261001T133000Z
SEQUENCE:0
TRANSP:OPAQUE
DTEND:20261001T140000Z
LOCATION:Seminar Room
SUMMARY:ICFO | RAM KRISHNA PATRA
CLASS:PUBLIC
DESCRIPTION:Measurement incompatibility lies at the heart of many quantum a
 dvantages and is commonly regarded as an intrinsic property of a set of qu
 antum observables. In this work\, we revisit this viewpoint by showing tha
 t both the manifestation and the relative strength of incompatibility can 
 depend crucially on how the available quantum systems are prepared. We fir
 st investigate qubit spin observables accessed through pairs of spin-1/2 p
 articles prepared in different configurations. In the parallel configurati
 on\, where the two spins are prepared identically\, the usual restrictions
  imposed by noncommuting observables remain. Remarkably\, in the antiparal
 lel configuration\, where one spin is paired with its flipped counterpart\
 , these restrictions can be substantially relaxed: three mutually orthogon
 al spin components can be predicted simultaneously and exactly. We further
  explore how this enhanced compatibility extends to larger families of obs
 ervables and more general state configurations\, and discuss connections w
 ith quantum retrodiction and information-processing tasks. Going beyond th
 ese specific examples\, we ask whether incompatible sets of observables ad
 mit an intrinsic hierarchy that remains independent of the available prepa
 ration resources. We show that this is not the case. Our No-Comparison The
 orem establishes that no universal ordering of incompatible sets is preser
 ved across all finite-copy configurations. In particular\, two sets of spi
 n observables can reverse their relative degree of incompatibility simply 
 by changing the preparation from identical copies to parallel&ndash\;antip
 arallel pairs. Together\, these results reveal a configuration-dependent s
 tructure of quantum incompatibility\, showing that it is determined not on
 ly by the observables themselves but also by the global arrangement of the
  quantum probes used to access them.
DTSTAMP:20261002T134458Z
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