Remote information concentration and multipartite entanglement in multilevel systems

Abstract

Remote information concentration (RIC) in d-level systems (qudits) is studied. It is shown that the quantum information initially distributed in three spatially separated qudits can be remotely and deterministically concentrated to a single qudit via an entangled channel without performing any global operations. The entangled channel can be different types of genuine multipartite pure entangled states which are inequivalent under local operations and classical communication. The entangled channel can also be a mixed entangled state, even a bound entangled state which has a similar form to the Smolin state, but has different features from the Smolin state. A common feature of all these pure and mixed entangled states is found; i.e., they have d 2 common commuting stabilizers. The differences of qudit-RIC and qubit-RIC (d = 2) are also analyzed.

Quantum network teleportation for quantum information distribution and concentration

“…The drawbacks of this method are that lots of entanglement resources are needed and a coherent operation on a large Hilbert space including all states is necessary. It is already shown that bound entanglement can be used as a resource in quantum information concentration [34], and some different schemes are also proposed in some contexts [35][36][37][38].…”

“…The drawbacks of this method are that lots of entanglement resources are needed and a coherent operation on a large Hilbert space including all states is necessary. Some different schemes are proposed in some contexts [31][32][33][34][35].…”

Controlled Remote Information Concentration via Non-Maximally Entangled GHZ-Type States

“…Henceforth, more and more people devote themselves to studying in this field. In recent years, RQIC has been generalized to many-particle and high-dimensional systems [18,19].…”

Remote Quantum-Information Concentration: Reversal of Ancilla-Free Phase-Covariant Telecloning

“…A scheme for implementing the reversal of the optimal 1→2 universal telecloning via a four-qubit Greenberger-Horne-Zeilinger (GHZ) state [21] has also been proposed [22]. Recently, RQIC has been generalized to many-particle and high-dimensional systems [23][24][25].…”