Concentration of measure effects in quantum information
نویسندگان
چکیده
Most applications of quantum information require many qubits, which means that they must be described using state spaces of very high dimension. The geometry of such spaces is invariably simple but often surprising. Subspaces, in particular, can be interpreted as quantum error correcting codes and, when the dimension is high enough, random subspaces form remarkably good codes. This is because information stored in random subspaces gets encoded into highly entangled states. The entanglement properties of random subspaces also have other applications, such as making it possible to extend superdense coding from bits to qubits.
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