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Quantum benchmark via an uncertainty product of canonical variables
Ryo Namiki1,2, Koji Azuma3
1Department of Physics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan.
Abstract:
We present an uncertainty-relation-type quantum benchmark for continuous-variable (CV) quantum channels that works with an input ensemble of Gaussian-distributed coherent states and homodyne measurements. It determines an optimal trade-off relation between canonical quadrature noises that is unbeatable by entanglement breaking channels and refines the notion of two quantum duties introduced in the original papers of CV quantum teleportation. This benchmark can verify the quantum-domain performance for all one-mode Gaussian channels. We also address the case of stochastic channels and the effect of asymmetric gains.
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