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Continuity of quantum conditional information

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arxiv quant-ph/0312081 v2 pith:OI6VKEB2 submitted 2003-12-09 quant-ph

R. Alicki , M. Fannes This is my paper · ORCID
classification quant-ph
keywords continuityconditionalinformationprovequantumboundconvergencedimension
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abstract

We prove continuity of quantum conditional information $S(\rho^{12}| \rho^2)$ with respect to the uniform convergence of states and obtain a bound which is independent of the dimension of the second party. This can, e.g., be used to prove the continuity of squashed entanglement.

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  1. Growth and collapse of subsystem complexity under random unitary circuits

    quant-ph 2025-10 unverdicted novelty 7.0 of 10

    Under random brickwork circuits, regions larger than half the system have complexity growing linearly in time, while a smaller region thermalizes to essentially zero complexity by T=ℓ/2 — with holographic and replica ...

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