A General LinearOptical Quantum State Generator
Abstract
We introduce a notion of a linearoptical quantum state generator. This is a device that prepares a desired quantum state using product inputs from photon sources, linearoptical networks, and postselection using photon counters. We show that this device can be concisely described in terms of polynomial equations and unitary constraints. We illustrate the power of this language by applying the Groebnerbasis technique along with the notion of vacuum extensions to solve the problem of how to construct a quantum state generator analytically for any desired state, and use methods of convex optimization to identify success probabilities. In particular, we disprove a conjecture concerning the preparation of the maximally pathentangled NOONstate by providing a counterexample using these methods, and we derive a new upper bound on the resources required for NOONstate generation.
 Publication:

APS Division of Atomic, Molecular and Optical Physics Meeting Abstracts
 Pub Date:
 June 2007
 Bibcode:
 2007APS..DMP.Q6003U