Details

Autor(en) / Beteiligte

• VanMeter, N. M.
• Lougovski, P.
• Uskov, D. B.
• Kieling, K.
• Eisert, J.
• Dowling, Jonathan P.

Titel

General linear-optical quantum state generation scheme: Applications to maximally path-entangled states

Ist Teil von

• Physical review. A, Atomic, molecular, and optical physics, 2007-12, Vol.76 (6), Article 063808

Ort / Verlag

United States

Erscheinungsjahr

2007

Quelle

American Physical Society Journals

Beschreibungen/Notizen

• We introduce schemes for linear-optical quantum state generation. A quantum state generator is a device that prepares a desired quantum state using product inputs from photon sources, linear-optical 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 Groebner-basis 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 bounds to success probabilities. In particular, we disprove a conjecture concerning the preparation of the maximally path-entangled |n,0>+|0,n> (NOON) state by providing a counterexample using these methods, and we derive a new upper bound on the resources required for NOON-state generation.