The International Conference on Quantum Information Processing and Communication (QIPC) 2013 was organized within the QUIE2T Coordination Action (Quantum Information and Entanglement Enabled Technologies), an FP7 Coordination Action to support QIPC in Europe. It covered a broad range of topics on quantum information and quantum communication, physical realizations of quantum systems for information technologies and topical subjects such as quantum enhanced measurements, foundations of quantum information, quantum simulations and many-body systems.
Quantum information processing is the emerging field that defines and realizes computing devices that make use of quantum mechanical principles such as the superposition principle, entanglement, and interference. Until recently the common notion of computing was based on classical mechanics and did not take into account all the possibilities that physically realizable computing devices offer in principle. The field gained momentum after Shor developed an efficient algorithm for factoring numbers, demonstrating the potential computing powers that quantum computing devices can unleash. In this review the information counterpart of computing is studied. It was realized early on by Holevo that quantum bits, the quantum mechanical counterpart of classical bits, cannot be used for efficient transformation of information in the sense that arbitrary
k-bit messages cannot be compressed into messages of $k\ensuremath{-}1$ qubits. The abstract form of the distributed computing setting is called communication complexity. It studies the amount of information, in terms of bits or in our case qubits, that two spatially separated computing devices need to exchange in order to perform some computational task. Surprisingly, quantum mechanics can be used to obtain dramatic advantages for such tasks. The area of quantum communication complexity is reviewed and it is shown how it connects the foundational physics questions regarding nonlocality with those of communication complexity studied in theoretical computer science. The first examples exhibiting the advantage of the use of qubits in distributed information-processing tasks were based on nonlocality tests. However, by now the field has produced strong and interesting quantum protocols and algorithms of its own that demonstrate that entanglement, although it cannot be used to replace communication, can be used to reduce the communication exponentially. In turn, these new advances yield a new outlook on the foundations of physics and could even yield new proposals for experiments that test the foundations of physics.
Quantum topology information matrix (QTIPM) represents a novel approach to quantum information processing and communication, leveraging the unique properties of quantum topology. This research investigates the construction and application of a QTIPM framework to model and analyze the intricate relationship between topological structures and quantum states, offering a pathway towards enhanced quantum information handling and secure communication. The core claim is that this framework provides a more precise and efficient method for describing and manipulating quantum information compared to traditional matrix-based approaches. This paper explores the theoretical foundations, algorithm development, and potential applications of QTIPM, highlighting its advantages in understanding and exploiting quantum topology.