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- W2994998736 abstract "We consider the most general finite-dimensional quantum mechanical information source, which is given by a quantum system <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$A$ </tex-math></inline-formula> that is correlated with a reference system <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$R$ </tex-math></inline-formula> . The task is to compress <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$A$ </tex-math></inline-formula> in such a way as to reproduce the joint source state <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$rho ^{AR}$ </tex-math></inline-formula> at the decoder with asymptotically high fidelity. This includes Schumacher’s original quantum source coding problem of a pure state ensemble and that of a single pure entangled state, as well as general mixed state ensembles. Here, we determine the optimal compression rate (in qubits per source system) in terms of the Koashi-Imoto decomposition of the source into a classical, a quantum, and a redundant part. The same decomposition yields the optimal rate in the presence of unlimited entanglement between compressor and decoder, and indeed the full region of feasible qubit-ebit rate pairs." @default.
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- W2994998736 date "2022-05-01" @default.
- W2994998736 modified "2023-10-16" @default.
- W2994998736 title "General Mixed-State Quantum Data Compression With and Without Entanglement Assistance" @default.
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- W2994998736 doi "https://doi.org/10.1109/tit.2022.3143846" @default.
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