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Combinatorial structures of quantum entangled states

Authors:
Hoshang Heydari

Keywords: quantum information, quantum entanglement, multipartite quantum systems

Abstract:
We investigate the combinatorial structures of multipartite quantum systems based on algebraic varieties. In particular, we study the relations between resolution of conifold, toric varieties, separable states, and quantum entangled states. We show that the resolved or deformed conifold is equivalent with the space of a pure entangled two-qubit state. We also generalize this result into multi-qubit states. The results give new insight about multipartite systems and also a new way of representing quantum entangled multipartite systems and quantum operations with potential applications in quantum computing.

Pages: 23 to 27

Copyright: Copyright (c) IARIA, 2011

Publication date: August 21, 2011

Published in: conference

ISSN: 2308-3530

ISBN: 978-1-61208-151-9

Location: Nice/Saint Laurent du Var, France

Dates: from August 21, 2011 to August 27, 2011