![]() An important special case for quantum systems are pure states, whoseĭensity operators have a special form: rank-one projectors We denote by D ( A ) the set of allĭensity operators representing states of system A. The state of quantum system A is represented byĪ density operator ρ A, a positive semi-definite operator over the For every quantum system A, weĪssociate a finite-dimensional Hilbert space, which by abuse of notation We briefly review the quantum formalism for finite-dimensional systems for a more thorough treatment, we refer the interested reader to good introductions in a quantum information theoretical context. To the best of our knowledge, this hasn’t been systematically studied yet. To execute reliable quantum communication in the real world, we must take quantum synchronization errors, which include both insertions and deletions, as well as other timing errors, into consideration. ![]() After decades of effort, correcting corruption errors, where some of the qubits are corrupted while the number of qubits is preserved, has become well-understood. ![]() To protect the quantum messages against the environment, which is probably the most essential to putting quantum computers and quantum communication into practice, numerous quantum error-correcting codes have been discovered. Most often, these advantages are analysed in the setting of noiseless communication. Quantum communication offers significant savings in numerous examples (see, e.g., It also allows for the distribution of entanglement, which permits superclassical correlations.Īnother notable example of a quantum advantage arises in the study of communication complexity, which investigates the minimum amount of communication required to a achieve a computational task in distributed computing. It allows for unconditionally secure quantum key distribution, a task impossible to achieve using only classical communication. Quantum communication promises to offer a significant advantage over classical communication, both qualitatively and quantitatively.
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