Quantum tomography or quantum state tomography is the process of reconstructing the quantum state (density matrix) for a source of quantum systems by measurements on the systems coming from the source. To be able to uniquely identify the state, the measurements must be tomographically complete, that is the measured operators must form an operator basis on the Hilbert space of the system. Quite literally, quantum state describes the state of a quantum system. ... A density matrix, or density operator, is used in quantum theory to describe the statistical state of a quantum system. ... In mathematics, a Hilbert space is an inner product space that is complete with respect to the norm defined by the inner product. ...
In quantum process tomography on the other hand, known quantum states are used to probe a quantum process to find out how the process can be described.
Bill graduated in 1989 with a BSc in Chemistry and Physics (Waikato, New Zealand), followed by an MSc in Physics (Waikato) in 1991 and a Dphil in Quantum Optics (Waikato) in 1994.
His current interests have focussed around the practical implementation for optical and solid state quantum hardware, the generation of optical nonlinearities, the characterisation of quantum states and processes, novel quantum communication and cryptography protocols and quantum metrology.
Bella Schelpe, Adrian Kent, William Munro and Tim Spiller, Inferring superposition and entangelent from measurements in a single basis.
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