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

Abstract

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 dimension $d$ can then be heralded via local filters. We discuss experimental prospects considering an implementation in superconducting systems.

Main text, 7 pages,5 figures. Appendices, 7 pages. Accepted in Quantum. Corrected DOI links

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