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Lecture notes in computer science

Interacting Quantum Observables

Bob Coecke, Ross Duncan

Published Aug 12, 2008• 257 citations
Publisher
DOI
10.1007/978-3-540-70583-3_25

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Quantum theory according to the Copenhagen interpretation holds that, when a quantum interaction is observed (i.e., “measured”), the observer’s measuring devices temporarily become a part of the quantum system. Relativity theory holds that the event clock of the absorbed or emitted photon or graviton is frozen in time relative to all clocks outside the observed system. If we harmonize both theories, this would appear to imply that time continuity must be interrupted at each instant of observed photon or graviton interaction with matter. It is as if a segment of space-time is clipped out during each such observed interaction. If so, we must dispense with the notion of an absolutely smooth and continuous space-time and replace it with an observation-dependent, discontinuous, relativistic/quantum space-time. Mathematical physicists should be able to model this hypothesis (call it a “time-jump hypothesis”) and its inherent discontinuous space-time in their further efforts at unification.
The Sultan Mustafa Quantum Observation Theory (SMQOT) proposes that photons exhibit wave-like behavior until an observation or interaction occurs, at which point they collapse into particle form. This Version 2 paper extends the original concept by introducing a mathematically supported framework using the principles of wavefunction collapse and energy interaction. It connects the theory with quantum decoherence and explains how observation itself constitutes an interaction event, consistent with fundamental physical laws. The model suggests that duality is not an inherent property but an outcome of measurement.
Superposition is the fundamental signature of quantum behavior. A quantum system can exist in a superposition of different eigenstates of an observable. Only after the measurement process, the system will collapse on one of the eigenvalues of the measured observables. We propose the realisation of the counterintuitive superposition of On and Off strong light-matter interaction using an optical resonator and a generic three-level quantum system. Leaked cavity photons can be detected and collected in order to post-select the events and to choose if we want to observe interacting or non-interacting photons. Such proposal can be readily realised within the present technology. Finally we will show that the cavity field can have a morphing behavior between On and Off interaction, by changing the area of the control pulse.