最大化互信息的量子信息处理优化
Optimization of Quantum Information Processing Maximizing Mutual Information
摘要：
描述了一种输入采用经典随机矢量编码的量子噪声信道模型。导出了一个最优性方程，以确定一组完整的波函数描述量子解码的准测量的基础上，最大限度地提高经典的传输信息量。这个方程的解决方案被发现的高斯多模输入高斯分布的情况下。它是由描述输出希尔伯特空间中的正则湮没振幅的最佳准测量的相干向量的过完备家庭。发现在这种情况下的最佳解码实现了经由具有有效噪声协方差矩阵N+I的经典高斯信道发送的经典信息的最大量I=Spln[1+S/（N+1）]。最佳准测量的物理实现的基础上的间接（外差）观察的典型运营商的建议。
英文摘要：
A model of quantum noisy channel with input encoding by a classical random vector is described. An equation of optimality is derived to determine a complete set of wave functions describing quantum decodings based on quasi-measurements maximizing the classical amount of transmitted information. A solution of this equation is found for the Gaussian multimode case with input Gaussian distribution. It is described by the overcomplete family of coherent vectors describing an optimal quasimeasurement of the canonical annihilation amplitudes in the output Hilbert space. It is found that the optimal decoding in this case realizes the maximum amount I=Spln[1+S/(N+1)] of the classical information as transmitted via the classical Gaussian channel with the effective noise covariance matrix N+I. A physical realization of optimal quasi-measurement based on an indirect (heterodyne) observation of the canonical operators is suggested.
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