Finally, from the labeled entangled phase states, we derive the absolutely maximally entangled states.doi:10.1142/S0219749919500096Mansour, M.Daoud, M.Bouhouch, L.World Scientific Publishing CompanyInternational Journal of Quantum Information
Qubit distributionOperation complexityA three-party scheme for sharing an arbitrary single-qubit operation on a distant target qubit is proposed by utilizing a six-qubit absolutely maximally entangled (AME) state in a given qubit distribution. The security of the proposed scheme is analyzed and ...
Absolutely maximally entangled (AME) states are closely related to quantum error correction codes. They are typically defined in homogeneous systems. However, the heterogeneous system is very common in a practical setup. In this work, we focus on the AME states in tripartite heterogeneous systems. ...
Absolutely maximally entangled (AME) states are pure multi-partite generalizations of the bipartite maximally entangled states with the property that all reduced states of at most half the system size are in the maximally mixed state. AME states are of interest for multipartite teleportation and ...
The absolutely maximally entangled (AME) states play key roles in quantum information processing. We provide an explicit expression of the generalized Bloch representation of AME states for general dimension d d of individual subsystems and arbitrary number of partite n n . Based on this analytic ...
One class of highly entangled states, useful in quantum information protocols, the absolutely maximally entangled (AME) ones, are especially hard to compare as all their subsystems are maximally random. While it is well known that there is no AME state of four qubits, many analytical examples ...
Optimal quantum error correcting codes from absolutely maximally entangled statesdoi:10.1088/1751-8121/AAA151Zahra RaissiChristian GogolinArnau RieraAntonio AcinIOP Publishing
Constructions of k-uniform and absolutely maximally entangled states beyond maximum distance codes.doi:10.1103/PHYSREVRESEARCH.2.033411Zahra RaissiAdam TeixidoChristian GogolinAntonio Acin
In this letter, we investigate the relation of reduced density matrix and the local unitary transformation invariants of four- and eight-qubit entangled states. Using some constraint conditions, for four- and eight-qubit states, we can prove that absolutely maximally entangled states do not exist....
A note on the Bloch representation of absolutely maximally entangled statesMultipartite entanglement was not only an interesting phenomenon in quantum physics,but also a key resource in quantum information theory,which can allow for novel quantum advantages in quantum information processing.One of the ...