混合状态信号的可压缩性
Compressibility of Mixed-State Signals
摘要：
我们提出了一个公式，确定每个消息的最佳量子比特数，允许渐近忠实压缩的混合状态的系综所携带的量子信息。混合状态的集合决定了希尔伯特空间分解为冗余部分和不可约部分。在去除冗余后，最佳压缩率被证明是由减少的合奏的冯诺伊曼熵。
英文摘要：
We present a formula that determines the optimal number of qubits per message that allows asymptotically faithful compression of the quantum information carried by an ensemble of mixed states. The set of mixed states determines a decomposition of the Hilbert space into the redundant part and the irreducible part. After removing the redundancy, the optimal compression rate is shown to be given by the von Neumann entropy of the reduced ensemble.
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