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Phys. Rev. A 71, 062317 (2005) [5 pages]

Bell-correlated activable bound entanglement in multiqubit systems

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Somshubhro Bandyopadhyay*
Centre for Quantum Information and Quantum Control and Department of Chemistry, University of Toronto, Toronto, Ontario Canada M5S 3H6

Indrani Chattopadhyay†
Department of Applied Mathematics, University of Calcutta, Kolkata, India

Vwani Roychowdhury‡
Department of Electrical Engineering, UCLA, Los Angeles, California 90095, USA

Debasis Sarkar§
Department of Applied Mathematics, University of Calcutta, Kolkata, India

Received 29 September 2004; published 15 June 2005

We show that the Hilbert space of even number (⩾4) of qubits can always be decomposed as a direct sum of four orthogonal subspaces such that the normalized projectors onto the subspaces are activable bound entangled (ABE) states. These states also show a surprising recursive relation in the sense that the states belonging to 2N+2 qubits are Bell correlated to the states of 2N qubits; hence, we refer to these states as Bell-correlated ABE (BCABE) states. We also study the properties of noisy BCABE states and show that they are very similar to that of two qubit Bell-diagonal states.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.062317
DOI:
10.1103/PhysRevA.71.062317
PACS:
03.67.Mn

*Present address: Institute for Quantum Information Science, University of Calgary, Calgary, Canada. Electronic address: som@qis.ucalgary.ca

†Electronic address: ichattopadhyay@yahoo.co.in

§Electronic address: debasis@cubmb.ernet.in, debasis1x@yahoo.co.in

‡Electronic address: vwani@ee.ucla.edu

 
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