Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A ‘process theory’ is any theory of systems and processes which admits sequential and parallel composition. ‘Terminality’ unifies normalisation for pure states, trace-preservation for positive superoperators, and adding up to identity of positive operators in quantum theory, and it moreover generalises this to arbitrary process theories.  show that terminality and no-signalling coincide in any process theory, provided one makes causal structure explicit. In fact, making causal structure explicit is necessary to even make sense of no-signalling in process theories.  conclude that because of its much simpler mathematical form, terminality should be taken to be a more fundamental notion than no-signalling.  also point out that terminality imposes many other nice features upon process theories, for example, it even imposes relativistic covariance.
['Bob Coecke']
I am writing a research paper on a idea Terminality Implies No-signalling ...and Much More Than That
[{"from": "human", "value": "I am writing a research paper on a idea Terminality Implies No-signalling ...and Much More Than That"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A \u2018process theory\u2019 is any theory of systems and processes which admits sequential and parallel composition. \u2018Terminality\u2019 unifies normalisation for pure states, trace-preservation for positive superoperators, and adding up to identity of positive operators in quantum theory, and it moreover generalises this to arbitrary process theories.  show that terminality and no-signalling coincide in any process theory, provided one makes causal structure explicit. In fact, making causal structure explicit is necessary to even make sense of no-signalling in process theories.  conclude that because of its much simpler mathematical form, terminality should be taken to be a more fundamental notion than no-signalling.  also point out that terminality imposes many other nice features upon process theories, for example, it even imposes relativistic covariance."}]