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
Pure multiparticle quantum states are called absolutely maximally entangled if all reduced states obtained by tracing out at least half of the particles are maximally mixed. We provide a method to characterize these states for a general multiparticle system. With that, we prove that a seven-qubit ...
A 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 ensured. The essential role which the...
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 statesquantum weight enumeratorsA pure multipartite quantum state is called absolutely maximally entangled (AME), if all reductions obtained by tracing out at least half of its parties are maximally mixed. Maximal entanglement is then present across every bipartition. The ...
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 ...
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 ...
Constructions of k-uniform and absolutely maximally entangled states beyond maximum distance codes.doi:10.1103/PHYSREVRESEARCH.2.033411Zahra RaissiAdam TeixidoChristian GogolinAntonio Acin
New construction for k-uniform and absolutely maximally entangled statesdoi: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....