dorsal/arxiv
View SchemaReliably distinguishing states in qutrit channels using one-way LOCC
| Authors | Christopher King, Daniel Matysiak |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510004 |
| URL | https://arxiv.org/abs/quant-ph/0510004 |
Abstract
We present numerical evidence showing that any three-dimensional subspace of C^3 \otimes C^n has an orthonormal basis which can be reliably distinguished using one-way LOCC, where a measurement is made first on the 3-dimensional part and the result used to select an optimal measurement on the n-dimensional part. This conjecture has implications for the LOCC-assisted capacity of certain quantum channels, where coordinated measurements are made on the system and environment. By measuring first in the environment, the conjecture would imply that the environment-assisted classical capacity of any rank three channel is at least log 3. Similarly by measuring first on the system side, the conjecture would imply that the environment-assisting classical capacity of any qutrit channel is log 3. We also show that one-way LOCC is not symmetric, by providing an example of a qutrit channel whose environment-assisted classical capacity is less than log 3.
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"abstract": "We present numerical evidence showing that any three-dimensional subspace of\nC^3 \\otimes C^n has an orthonormal basis which can be reliably distinguished\nusing one-way LOCC, where a measurement is made first on the 3-dimensional part\nand the result used to select an optimal measurement on the n-dimensional part.\nThis conjecture has implications for the LOCC-assisted capacity of certain\nquantum channels, where coordinated measurements are made on the system and\nenvironment. By measuring first in the environment, the conjecture would imply\nthat the environment-assisted classical capacity of any rank three channel is\nat least log 3. Similarly by measuring first on the system side, the conjecture\nwould imply that the environment-assisting classical capacity of any qutrit\nchannel is log 3. We also show that one-way LOCC is not symmetric, by providing\nan example of a qutrit channel whose environment-assisted classical capacity is\nless than log 3.",
"arxiv_id": "quant-ph/0510004",
"authors": [
"Christopher King",
"Daniel Matysiak"
],
"categories": [
"quant-ph"
],
"title": "Reliably distinguishing states in qutrit channels using one-way LOCC",
"url": "https://arxiv.org/abs/quant-ph/0510004"
},
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"execution_id": "805ab05e-b73f-4331-948e-7295faed4689",
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