2021/09/21 by Anandamay Das Bhowmik, Bhowmik, Anandamay Das, Preeti Parashar +5
Computer Science · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #History and Philosophy of Physics (physics.hist-ph) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2109.09953
openalex publication_date 2021/09/21 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
The principle of `absoluteness of cause' (AC) assumes the cause-effect\nrelation to be observer independent and is a distinct assertion than\nprohibiting occurrence of any causal loop. Here, we study implication of this\nnovel principle to derive a fundamental no-go result in quantum world. AC\nprinciple restrains the `time order' of two spacelike separated\nevents/processes to be a potential cause of another event in their common\nfuture, and in turn negates existence of a quantum device that transforms an\narbitrary pure state to its orthogonal one. The present it no-go result is\nquite general as its domain of applicability stretches out from the standard\nlinear quantum theory to any of its generalizations allowing deterministic or\nstochastic nonlinear evolution. We also analyze different possibilities of\nviolating the AC principle in generalized probability theory framework. A\nstrong form of violation enables instantaneous signaling, whereas a weak form\nof violation forbids the theory to be locally tomographic. On the other hand,\nimpossibility of an intermediate violation suffices to discard the universal\nquantum NOT logic.\n