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Reducible correlations in Dicke states

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Preeti Parashar and Swapan Rana

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FAST TRACK COMMUNICATION

We apply a simple observation to show that the generalized Dicke states can be determined from their reduced subsystems. In this framework, it is sufficient to calculate the expression for only the diagonal elements of the reduced density matrices in terms of the state coefficients. We prove that the correlation in generalized Dicke states |GD(ℓ)Nrang can be reduced to 2ℓ-partite level. Application to the quantum marginal problem is also discussed.


PACS

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

03.67.Mn Entanglement measures, witnesses, and other characterizations

03.65.Fd Algebraic methods

03.67.Lx Quantum computation architectures and implementations

MSC

94A15 Information theory, general (See also 62B10)

81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)

81P15 Quantum measurement theory

81Rxx Groups and algebras in quantum theory

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 46 (20 November 2009)

Received 14 July 2009, in final form 2 September 2009

Published 28 October 2009



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