Continuous phase-space representations for finite-dimensional quantum states and their tomography
Bálint Koczor, Robert Zeier, Steffen J. Glaser
Abstract
Continuous phase spaces have become a powerful tool for describing, analyzing, and tomographically reconstructing quantum states in quantum optics and beyond. A plethora of these phase-space techniques are known, however a thorough understanding of their relations is still lacking for finite-dimensional quantum states. We present a unified approach to continuous phase-space representations which highlights their relations and tomography. The infinite-dimensional case from quantum optics is then recovered in the large-spin limit.
Topics & Concepts
Phase spaceQuantum tomographyQuantum stateQuantumOptical phase spacePhysicsTomographySpace (punctuation)Phase (matter)Quantum opticsLimit (mathematics)Theoretical physicsQuantum mechanicsStatistical physicsComputer scienceCoherent statesMathematicsOpticsMathematical analysisSqueezed coherent stateOperating systemQuantum Information and CryptographyQuantum Mechanics and ApplicationsAtomic and Subatomic Physics Research