In quantum information theory, a quantum channel is a communication channel which can transmit quantum information, as well as classical information. An example of quantum information is the state of a qubit. An example of classical information is a text document transmitted over the internet.
More formally, quantum channels are completely positive, trace preserving maps between spaces of operators. In other words, a quantum channel is just a quantum operation viewed not merely as the reduced dynamics of a system but as a pipeline intended to carry quantum information.
... In quantum teleportation, a sender wishes to transmit an arbitrary quantum state of a particle to a possibly distant receiver ... Quantum teleportation is able to achieve faithful transmission of quantum information by substituting classical communication and prior entanglement for a direct ... Quantum teleportation requires a noiseless quantum channel for sharing perfectly entangled particles, and therefore entanglement distillation satisfies this requirement by ...
... like to communicate classical information over a noisy quantum channel ... Either classical or quantum information can be transmitted over a quantum channel by encoding the information in a quantum state ... this knowledge, Alice encodes the classical information that she intends to send to Bob in a (quantum) product state, as a tensor product of reduced ...
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