As usual with Dukaj's works, it deals with highly advanced technology (like EPR paradox, related to the Einstein-Rosen-Podolsky bridge) and its implications for human society.
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Hence, followed Einstein, Podolsky, and Rosen in 1935 in their famous "EPR paper", there is something missing in the description of the qubit pair given above—namely this "agreement", called more formally a hidden variable.
In current terminology this result corresponds to a pair of entangled photons and is directly relevant to a typical Einstein-Podolsky-Rosen (EPR) paradox, or situation, as explained by Dalitz and Duarte.