dorsal/arxiv
View SchemaA Quantum Broadcasting Problem in Classical Low Power Signal Processing
| Authors | Dominik Janzing, Bastian Steudel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609162 |
| URL | https://arxiv.org/abs/quant-ph/0609162 |
| DOI | 10.1103/PhysRevA.75.022309 |
Abstract
We pose a problem called ``broadcasting Holevo-information'': given an unknown state taken from an ensemble, the task is to generate a bipartite state transfering as much Holevo-information to each copy as possible. We argue that upper bounds on the average information over both copies imply lower bounds on the quantum capacity required to send the ensemble without information loss. This is because a channel with zero quantum capacity has a unitary extension transfering at least as much information to its environment as it transfers to the output. For an ensemble being the time orbit of a pure state under a Hamiltonian evolution, we derive such a bound on the required quantum capacity in terms of properties of the input and output energy distribution. Moreover, we discuss relations between the broadcasting problem and entropy power inequalities. The broadcasting problem arises when a signal should be transmitted by a time-invariant device such that the outgoing signal has the same timing information as the incoming signal had. Based on previous results we argue that this establishes a link between quantum information theory and the theory of low power computing because the loss of timing information implies loss of free energy.
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"abstract": "We pose a problem called ``broadcasting Holevo-information\u0027\u0027: given an\nunknown state taken from an ensemble, the task is to generate a bipartite state\ntransfering as much Holevo-information to each copy as possible.\n We argue that upper bounds on the average information over both copies imply\nlower bounds on the quantum capacity required to send the ensemble without\ninformation loss. This is because a channel with zero quantum capacity has a\nunitary extension transfering at least as much information to its environment\nas it transfers to the output.\n For an ensemble being the time orbit of a pure state under a Hamiltonian\nevolution, we derive such a bound on the required quantum capacity in terms of\nproperties of the input and output energy distribution. Moreover, we discuss\nrelations between the broadcasting problem and entropy power inequalities.\n The broadcasting problem arises when a signal should be transmitted by a\ntime-invariant device such that the outgoing signal has the same timing\ninformation as the incoming signal had. Based on previous results we argue that\nthis establishes a link between quantum information theory and the theory of\nlow power computing because the loss of timing information implies loss of free\nenergy.",
"arxiv_id": "quant-ph/0609162",
"authors": [
"Dominik Janzing",
"Bastian Steudel"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.022309",
"title": "A Quantum Broadcasting Problem in Classical Low Power Signal Processing",
"url": "https://arxiv.org/abs/quant-ph/0609162"
},
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