Operations and single particle interferometry

Abstract

Interferometry of single particles with internal degrees of freedom is investigated. We discuss the interference patterns obtained when an internal state evolution device is inserted into one or both the paths of the interferometer. The interference pattern obtained is not uniquely determined by the completely positive maps (CPMs) that describe how the devices evolve the internal state of a particle. By using the concept of gluing of CPMs, we investigate the structure of all possible interference patterns obtainable for given trace preserving internal state CPMs. We discuss what can be inferred about the gluing, given a sufficiently rich set of interference experiments. It is shown that the standard interferometric setup is limited in its abilities to distinguish different gluings. A generalized interferometric setup is introduced with the capacity to distinguish all gluings. We also connect to another approach using the well known fact that channels can be realized using a joint unitary evolution of the system and an ancillary system. We deduce the set of all such unitary `representations' and relate the structure of this set to gluings and interference phenomena.

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Cited by in corpus (14)

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• Operational approach to the Uhlmann holonomy
• Routed quantum circuits
• Fidelity and Coherence Measures from Interference
• Experimental demonstration of input-output indefiniteness in a single quantum device
• Universal control of quantum processes using sector-preserving channels
• Quantum communication through devices with indefinite input-output direction
• Quantum networks boosted by entanglement with a control system
• Holonomy for Quantum Channels
• Operational interpretation of the vacuum and process matrices for identical particles
• Witnessing latent time correlations with a single quantum particle