Measurement and control of spatial qubits generated by passing photons through double-slits
arXiv:0805.1123 · doi:10.1103/PhysRevA.78.012307
Abstract
We present an experimental study of the non-classical correlations of a pair of spatial qubits formed by passing two down-converted photons through a pair of double slits. After confirming the entanglement generated in our setup by quantum tomography using separate measurements of the slit images and the interference patterns, we show that the complete Hilbert space of the spatial qubits can be accessed by measurements performed in a single plane between the image plane and the focal plane of a lens. Specifically, it is possible to obtain both the which-path and the interference information needed for quantum tomography in a single scan of the transversal distribution of photon coincidences. Since this method can easily be extended to multi-dimensional systems, it may be a valuable tool in the application of spatial qudits to quantum information processes.
19 pages, including 10 figures and 2 tables
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- Quantum tomography via equidistant states
- Fast entanglement detection for unknown states of two spatial qutrits
- Characterizing twin-particle entanglement in double-well potentials
- Reconstruction of spatial qutrit states based on realistic measurement operators
- Quantum interference of position and momentum: a particle propagation paradox
- Experimental quantum tomography assisted by multiply symmetric states in higher dimensions
- Control of quantum transverse correlations on a four-photon system
- Nonlocal Young tests with Einstein-Podolsky-Rosen correlated particle pairs
- Measurement strategy for spatially encoded photonic qubits
- One-particle and two-particle visibilities in bipartite entangled Gaussian states
- Control of particle propagation beyond the uncertainty limit by interference between position and momentum
- Theory of Quantum Path Computing with Fourier Optics and Future Applications for Quantum Supremacy, Neural Networks and Nonlinear Schrödinger Equations
- Transverse distinguishability of entangled photons with arbitrarily shaped spatial near- and far-field distributions
- Single plane minimal tomography of double slit qubits
- Controlling and measuring a superposition of position and momentum