Minimal sets of conditions for distinguishing among separable and entangled states of multiqubit systems

Philippe Jorrand; Mehdi Mhalla

doi:10.1117/12.517906

23 July 2003 Minimal sets of conditions for distinguishing among separable and entangled states of multiqubit systems

Philippe Jorrand, Mehdi Mhalla

Proceedings Volume 5128, First International Symposium on Quantum Informatics; (2003) https://doi.org/10.1117/12.517906
Event: First International Symposium on Quantum Informatics, 2002, Lipki, Russian Federation

Abstract

A state ψ = α/00] + β/01] + γ/10] +δ/11] of a system of two qubits is separable if the equality among pair-wise products αδ = βγ holds. This paper generalize this form of condition for distinguishing among separable and entangled states of systems of n qubits. Given a pure state /ψ_N] of a quantum system composed of n qubits, where N = 2ⁿ, this paper defines minimal sets of equalities among pair-wise products of amplitudes of /ψN] for characterizing two forms of separability of /ψ_N]: (i) into a tensor product of n qubit states /ψ₂]₀ x/ψ₂]₁ x...x/ψ₂]_n-1, and (ii), into a tensor product of 2 subsystems states /ψ_p]x/ψ_Q] with P=2^p and Q=2^q such that p+q=n.

Citation Download Citation

Philippe Jorrand and Mehdi Mhalla "Minimal sets of conditions for distinguishing among separable and entangled states of multiqubit systems", Proc. SPIE 5128, First International Symposium on Quantum Informatics, (23 July 2003); https://doi.org/10.1117/12.517906

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available