Partial quantum information

Arun Kumar Pati, Barry C. Sanders

Michel Le Bellac

Mengya Wang, Chen‐Ming Bai, Ya-Nan Feng +2 more

Abstract Quantum information masking is a protocol that hides the original quantum information from subsystems and spreads it over quantum correlation, which the original information of input states is completely unknown to local subsystems. In this paper, we explore the possibility of partial masking of quantum information in multipartite systems through using the generator matrices and stabilizer codes, as this approach is more suitable for constructing secret sharing protocols. Furthermore, if the condition for partial masking of quantum information is strengthened, it can be shown that the quantum state α | 0 ⟩ + β | 1 ⟩ can be masked in multipartite systems. Among them, partial masking of quantum information has a wider scope of application because it has fewer restrictions. To some extent, the masking of quantum information can be seen as a special case of partial masking. At last, we provide an example of how masked quantum information can be restored to its original state.

Daniel F. Walls, Gerard J Milburn

Nan Zhao, Wandou Li, Yan Yu

In the study of quantum information transmission based on entanglement, the decoherence induced by surrounding environment has always been one of major factors affecting the effect of quantum state transfer. Therefore, the research on information transmission in partially entangled channels of quantum network is of academic value and general application. Meanwhile, as multi-participating information transmission modes, broadcast and multicast communications are two important applications in quantum information transmission and quantum computation. In this paper, we propose the quantum broadcast and multicast schemes based on partially entangled states. The schemes allow the different recipients to obtain the arbitrary single-qubit states synchronously. We verify the feasibility of the schemes and obtain the success probability of information transmission under the partially entangled channels.

Alexander Nico-Katz

The partial information decomposition (PID) framework is an extension of classical information theory that enables a systematic analysis of the structure of information in multipartite systems. We advance a simple extension of this framework enabling the construction of multipartite quantum PIDs (QPIDs); generalizing recent, exclusively bipartite, extensions. We construct two QPIDs of the Holevo quantity. First a naive QPID based on the classical minimum mutual information. Second a sophisticated QPID enabled by our development of an operational partial order on quantum ensembles in terms of ensemble (inter-)convertability. Finally, as a concrete example of how QPIDs can be applied, we investigate objectivity scenarios; using our Holevo QPIDs to directly quantify objective information in extended graph states. These findings ultimately establish a foundation upon which generic multipartite QPIDs can be systematically constructed, introduce an operational partial order on ensembles, advance QPIDs as interesting objects of study in their own right, and demonstrate their immediate applicability to problems in quantum information.