Operational Quantum Theory; Measurement Theory
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Operational Capacity and Pseudoclassicality of a Quantum Channel
We explore some basic properties of coding theory of a general quantum communication channel and its operational capacity, including (1) adaptive measurement with feedback code, (2) reconsideration of single-letterized capacity formula, and (3) pseudoclassicality of a channel. Index terms quantum information theory, coding theorem, operational quantum capacity, pseudoclassical channel, quantum ...
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The Bell-Kochen-Specker theorem establishes the impossibility of a noncontextual hidden variable model of quantum theory, or equivalently, that quantum theory is contextual. In this paper, an operational definition of contextuality is introduced which generalizes the standard notion in three ways: (1) it applies to arbitrary operational theories rather than just quantum theory, (2) it applies t...
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The issue of talent-discovering is one of the most important issues in the field of education and research that has always been a concern for educational systems. Studying the issues of identifying and guiding talented students can illuminate a large part of the activities of the executors and practitioners in order to accomplish their mission effectively. On the other hand, quantum physics has...
متن کاملOperational Meanings of Orders of Observables Defined through Quantum Set Theories with Different Conditionals
In quantum logic there is well-known arbitrariness in choosing a binary operation for conditional. Currently, we have at least three candidates, called the Sasaki conditional, the contrapositive Sasaki conditional, and the relevance conditional. A fundamental problem is to show how the form of the conditional follows from an analysis of operational concepts in quantum theory. Here, we attempt s...
متن کاملThe witness set of coexistence of quantum effects and its preservers
One of unsolved problems in quantum measurement theory is to characterize coexistence of quantum effects. In this paper, applying positive operator matrix theory, we give a mathematical characterization of the witness set of coexistence of quantum effects and obtain a series of properties of coexistence. We also devote to characterizing bijective morphisms on quantum effects leaving the witness...
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