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DTSTART;TZID=Europe/Madrid:20260415T143000
DTEND;TZID=Europe/Madrid:20260415T153000
DTSTAMP:20260415T005426
CREATED:20260413T082635Z
LAST-MODIFIED:20260413T082635Z
UID:24885-1776263400-1776267000@www.ift.uam-csic.es
SUMMARY:Quantum Information Journal Club: 'Accessible quantum correlations under complexity constraints'
DESCRIPTION:Title: ‘Accessible quantum correlations under complexity constraints’ \nSpeaker: Álvaro Yangüez (Sorbonne Université Paris) \nVenue&Time: Gray Room 3 / 14:00 \nAbstract: \n\nQuantum systems may contain underlying correlations which are inaccessible to computationally bounded observers. We capture this distinction through a framework that analyses bipartite states only using efficiently implementable quantum channels. This leads to a complexity-constrained max-divergence and a corresponding computational min-entropy. The latter quantity recovers the standard operational meaning of the conditional min-entropy: in the fully quantum case\, it quantifies the largest overlap with a maximally entangled state attainable via efficient operations on the conditional subsystem. For classical-quantum states\, it further reduces to the optimal guessing probability of a computationally bounded observer with access to side information. Lastly\, in the absence of side information\, the computational min-entropy simplifies to a computational notion of the operator norm. We then establish strong separations between the information-theoretic and complexity-constrained notions of min-entropy. For pure states\, there exist highly entangled families of states with extremal min-entropy whose efficiently accessible entanglement in terms of computational min-entropy is exponentially suppressed. For mixed states\, the separation is even sharper: the information-theoretic conditional min-entropy can be highly negative while the complexity-constrained quantity remains nearly maximal. \n\n\nOverall\, our results demonstrate that computational constraints can fundamentally limit the quantum correlations that are observable in practice.
URL:https://www.ift.uam-csic.es/event/quantum-information-journal-club-accessible-quantum-correlations-under-complexity-constraints/
LOCATION:Gray Room 3\, Instituto de Física Teórica (IFT) -C. Nicolás Cabrera\, 13-15\, Fuencarral-El Pardo\, Madrid\, 28049\,\, Spain
CATEGORIES:Journal clubs,Scientific activities
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