Heralded generation of maximal entanglement in any dimension via incoherent coupling to thermal baths

We present a scheme for dissipatively generating maximal entanglement in a heralded manner. Our setup requires incoherent interactions with two thermal baths at different temperatures, but no source of work or control. A pair of(d+1)-dimensional quantum systems is first driven to an entangled steady state by the temperature gradient, and maximal entanglement in dimensiondcan then be heralded via local filters. We discuss experimental prospects considering an implementation in superconducting systems.

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