Abstract
Quantum temporal peculiarities, involving ordinary and weak measurements, are explored. We introduce the foundations of weak measurement and outline some novel theoretical and experimental predictions derived from it. We then show how weak values, which explicitly depend on both forward and backward evolving state-vectors, can serve as important tools for gaining new insights into the nature of time.
Highlights
The most paradoxical effects displayed by quantum measurements involve spatial and temporal anomalies, e.g., respectively, the EPR [5] and the delayed-choice [6] experiments
In order to test the bomb, let it be placed on one of the Mach-Zehnder Interferometer (MZI)’s routes (v) and let a single photon pass through the system
In 1/16 of the cases, the photon hits detector D, while the atom is found in a final spin state of X- rather than its initial state X+
Summary
Parmenides' disciple, Zeno (490–430 BC), has derived one of the most famous paradoxes concerning the alleged atomicity of time, a challenge that provoked Archimedes' infinitesimals and, in 20th Century, the quantum-mechanical realization [4]. All these thinkers belonged to the small genius nation of which Crete was part, whose scholars have first raised the great questions of science and philosophy with utmost clarity and acuity. Presenting this work in this ancient cradle of science is another source of awe and inspiration
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