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Quantum algorithms and
complexity
theory
- Discover new quantum algorithms.
- Establish new query complexity lower
bounds.
- Develop new communication complexity bounds in the
context of quantum information.
- Investigate the power of multi-prover interactive
proof systems, as well as zero-knowledge proof systems in the setting
of quantum information.
Quantum communication and information
security
- Investigate new applications to general
two-party computations in a two-prover setting.
- Investigate further cryptographic applications of the
"decoy state" approach quantum key distribution, as well as to study
the security and practical
feasibility of other quantum cryptographic and quantum communication
protocols.
- General framework for investigating two-party quantum
protocols.
Theory of quantum information implementations
- Further investigate and develop the mathematical
tools for new
error protecting methods with focus on their application to specific
quantum information processing devices.
Quantum information theory and entanglement
theory
- Investigate properties of multi-party cryptographic
protocols for various tasks, such as entanglement distillation.
- Investigate various notions of "pseudo-random" in the
context of generating unitary operations and quantum states.
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