Quantum information science asks what information
processing tasks are
possible if single quantum systems are used as elementary carries of
information. The ability to coherently manipulate the state of a
quantum system allows for tasks that are thought to be unachievable in
the classical context - such as secure transmission of information - or
for the efficient solution of computational problems for which no
classical efficient algorithm is known. We ask - with methods of
mathematical physics - questions of how to
grasp entanglement, giving rise to quantum correlations that are
stronger than classically attainable, of quantum channel capacities,
and of new quantum computational models, based on quantum many-body
ideas and tensor networks. Recently newly acquired interest is
concerned
with pseudo-random states and operations in quantum expanders and
unitary designs, as well as questions of concentration of measure and
classical percolation ideas.
Quantum information ideas are often a guiding
principle in work that is not directly related to information
processing as such.
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"Gaussian
quantum channels",
In: "Continuous-variable quantum information science", Eds. E. Polzik,
N. Cerf, G. Leuchs (Imperial College Press, London, 2007).
Quantum information science asks what information
processing tasks are
possible if single quantum systems are used as elementary carries of
information. The ability to coherently manipulate the state of a
quantum system allows for tasks that are thought to be unachievable in
the classical context - such as secure transmission of information - or
for the efficient solution of computational problems for which no
classical efficient algorithm is known. We ask - with methods of
mathematical physics - questions of how to
grasp entanglement, giving rise to quantum correlations that are
stronger than classically attainable, of quantum channel capacities,
and of new quantum computational models, based on quantum many-body
ideas and tensor networks. Recently newly acquired interest is
concerned
with pseudo-random states and operations in quantum expanders and
unitary designs, as well as questions of concentration of measure and
classical percolation ideas.
Quantum information ideas are often a guiding
principle in work that is not directly related to information
processing as such.