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Mathematics & Statistics Quantum Information Research Group

Dr. Gilad Gour

PhD Students

Alexander Hentschel
Borzumehr Toloui Semnani
Michael Skotiniotis

BSc Students

Michelle Liu
Yuval Sanders


The research our group is pursuing is split into two main parts:

Capacities of quantum information:

Most of quantum information processing (QIP) tasks consist of several parties sharing a quantum system such that the parties are spatially separated from each other and, in many cases, they are only able to perform local operations and perhaps transmit classical information. The parties, however, can overcome, or at least partly overcome, the restriction to local operations and classical communication (LOCC) if they are sharing entangled states. Hence, in the context of quantum information, entanglement is treated as a non-local resource such that its quantification determines the capacity of the quantum system shared by the different parties which perform QIP tasks. The capacities of quantum information, such as measures of entanglement or channel capacities, are a subject of great interest and major activity in the field, as they quantify the nonlocal resources and determine the capabilities of distributed QIP tasks.

This project concerns with the development of a quantitatively accurate theory for the degree of success of distributed QIP tasks, including creation, quantification and distribution of non-local resources, such as entanglement.

The role of superselection rules and other restrictions in quantum information theory:

In many physical systems of interest it happens that there are other natural restrictions on the allowed operations that can be implemented by different parties sharing a quantum system aside from the LOCC restriction. These include super-selection rules, the absence of a reference frame shared by all parties, imperfect apparatus, restrictions to Gaussian operations in quantum optics, or limitations on the the amount (or direction) of classical information that can be transmitted among the different parties. All these additional natural limitations not only lead to new, interesting physics and the discovery of new resources, but also has applications in related fields such as quantum cryptography and, in particular, enable one to carry out certain QIP tasks that are impossible otherwise. This project concerns with the discovery, quantification and distribution of such new resources, as well as with the identification and promotion of the applications of these resources, especially in the field of quantum cryptography.



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