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Computing the distance between quantum channels: Usefulness of the Fano representation
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The diamond norm measures the distance between two quantum channels. From an operational vewpoint, this norm measures how well we can distinguish between two channels by applying them to input states of arbitrarily large dimensions. In this paper, we show that the diamond norm can be conveniently and in a physically transparent way computed by means of a Monte-Carlo algorithm based on the Fano representation of quantum states and quantum operations. The effectiveness of this algorithm is illustrated for several single-qubit quantum channels.
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Noise-Aware Mixed-State Quantum Computation via Parameterized Quantum Channels
The paper frames parameterized quantum channels as a noise-aware computing resource and shows that optimizing a mixture of two noisy CNOT implementations improves channel fidelity in a simple emulator test.
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