dorsal/arxiv
View SchemaUnambiguous Discrimination Between Linearly Dependent States with Multiple Copies
| Authors | Anthony Chefles |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105016 |
| URL | https://arxiv.org/abs/quant-ph/0105016 |
| DOI | 10.1103/PhysRevA.64.062305 |
Abstract
A set of quantum states can be unambiguously discriminated if and only if they are linearly independent. However, for a linearly dependent set, if C copies of the state are available, then the resulting C particle states may form a linearly independent set, and be amenable to unambiguous discrimination. We obtain necessary and sufficient conditions for the possibility of unambiguous discrimination between N states given that C copies are available and that the single copies span a D dimensional space. These conditions are found to be identical for qubits. We then examine in detail the linearly dependent trine ensemble. The set of C>1 copies of each state is a set of linearly independent lifted trine states. The maximum unambiguous discrimination probability is evaluated for all C>1 with equal a priori probabilities.
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"abstract": "A set of quantum states can be unambiguously discriminated if and only if\nthey are linearly independent. However, for a linearly dependent set, if C\ncopies of the state are available, then the resulting C particle states may\nform a linearly independent set, and be amenable to unambiguous discrimination.\nWe obtain necessary and sufficient conditions for the possibility of\nunambiguous discrimination between N states given that C copies are available\nand that the single copies span a D dimensional space. These conditions are\nfound to be identical for qubits. We then examine in detail the linearly\ndependent trine ensemble. The set of C\u003e1 copies of each state is a set of\nlinearly independent lifted trine states. The maximum unambiguous\ndiscrimination probability is evaluated for all C\u003e1 with equal a priori\nprobabilities.",
"arxiv_id": "quant-ph/0105016",
"authors": [
"Anthony Chefles"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.64.062305",
"title": "Unambiguous Discrimination Between Linearly Dependent States with Multiple Copies",
"url": "https://arxiv.org/abs/quant-ph/0105016"
},
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