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<sub>N</sub>] of a quantum system composed of n qubits, where N = 2<sup>n</sup>, this paper defines minimal sets of equalities among pair-wise products of amplitudes of /ψN] for characterizing two forms of separability of /ψ<sub>N</sub>]: (i) into a tensor product of n qubit states /ψ<sub>2</sub>]<sub>0</sub> x/ψ<sub>2</sub>]<sub>1</sub> x...x/ψ<sub>2</sub>]<sub>n-1</sub>, and (ii), into a tensor product of 2 subsystems states /ψ<sub>p</sub>]x/ψ<sub>Q</sub>] with P=2<sup>p</sup> and Q=2<sup>q</sup> such that p+q=n.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
