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

TL;DR

This paper proposes a method to generate maximal entanglement in quantum systems using thermal baths at different temperatures, without external control, and heralds the entanglement via local filters, with potential superconducting system implementation.

Contribution

It introduces a dissipative scheme for heralded maximal entanglement in any dimension using thermal baths, eliminating the need for external work or control.

Findings

Maximal entanglement can be achieved through thermal gradient-driven steady states.

Heralding of entanglement is possible via local filtering techniques.

Experimental feasibility is discussed for superconducting quantum systems.

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.