Progress
- Major theoretical work on internon theory has now been completed.
- Internon theory is a new theory of quantum state evolution
- Not an interpretation
- Extends the measurement and unitary postulates and unifies them within a single consistent theoretical framework.
- Methodology completed for determining the regimes of unitary and non-unitary evolution
- Several physical examples completed
- Publication is now proceeding
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Publications
Current plans for documenting internon theory
Papers Completed
Complementary Relationships between Entanglement and Measurement
Complementary relationships exist among interference properties of particles such as pattern visibility, predictability, and distinguishability. Additionally relationships between average information gain Ḡ and measurement disturbance F for entangled spin pairs are well established. This article examines whether a similar complementary relationship exists between entanglement and measurement. For qubit systems, both measurements on a single system and measurements on a bipartite system are considered in regard to entanglement. It is proven that Ē + D ≤ 1 holds, where Ē is the average entanglement after a measurement is made and D is a measure of the measurement disturbance of a single measurement. Assuming measurements on a bipartite system shared by Alice and Bob, it is shown that Ē + Ḡ ≤ 1, where Ḡ is the maximum average information gain that Bob can obtain regarding Alice’s result. These results are generalized to arbitrary initial mixed states and non-Hermitian operators and direct results are found for the case of maximally entangled initial states. We conclude that the amount of disturbance and average information gain one can achieve is strictly limited by entanglement.
Papers in Planning
Resolvability of the Quantum Measurement Problem in the Mesoscopic Regime
We examine in-detail historically why the measurement problem is often considered to be resolvable only in the macroscopic regime. Arguments are put forward for which the mesoscopic regime offers many benefits for which measurement occurs. A general approach applicable to the mesoscopic regime is provide for which it appears that energy and momentum are conserved on all trials.
Resolvability of the quantum measurement problem: the von Neumann chain
What the von Neumann chain theorem implies regarding the resolution of the quantum measurement problem
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