An exploration of the limits of control using quantum superpositions
arXiv:1806.00134
Abstract
Quantum interferences between non-orthogonal states are the best approximation of a joint realization of the non-commuting physical properties represented by the two states. As I have shown recently, such interferences can be used to demonstrate that quantum physics deviates from classical causality in the limit of small action. Here, I point out that this proof constitutes a failure of the principle of least action and consider possible implications for our understanding of fundamental physics.
arXiv comment4 pages, contribution to the proceedings of QIT 38, held June 4th to 5th 2018 in Hiroshima
References in corpus (18)
- Violation of Heisenberg's Measurement-Disturbance Relationship by Weak Measurements
- Direct measurement of general quantum states using weak measurement
- Violation of the Leggett-Garg inequality with weak measurements of photons
- Experimental demonstration of a universally valid error-disturbance uncertainty relation in spin-measurements
- Experimental Realization of the Quantum Box Problem
- Observation of a quantum Cheshire Cat in a matter wave interferometer experiment
- Information-Theoretic Implications of Quantum Causal Structures
- Prior information: how to circumvent the standard joint-measurement uncertainty relation
- Violation of Leggett-Garg inequalities in quantum measurements with variable resolution and back-action
- Complex joint probabilities as expressions of determinism in quantum mechanics
- How weak values emerge in joint measurements on cloned quantum systems
- Classical Field Approach to Quantum Weak Measurements
- Derivation of quantum mechanics from a single fundamental modification of the relations between physical properties
- How quantum paradoxes originate from the non-classical statistics of physical properties related to each other by half-periodic transformations
- On the fundamental role of dynamics in quantum physics
- Determining complementary properties with quantum clones
- Quantum interference of position and momentum: a particle propagation paradox
- Derivation of the statistics of quantum measurements from the action of unitary dynamics