dorsal/arxiv
View SchemaDistinguishability and indistinguishability by LOCC
| Authors | Heng Fan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311026 |
| URL | https://arxiv.org/abs/quant-ph/0311026 |
| DOI | 10.1103/PhysRevLett.92.177905 |
| Journal | Phys.Rev.Lett.92, 177905(2004). |
Abstract
We show that a set of linearly independent quantum states $\{(U_{m,n}\otimes I)\rho ^{AB}(U_{m,n}^{\dagger}\otimes I)\}_{m,n=0}^{d-1}$, where $U_{m,n}$ are generalized Pauli matrices, cannot be discriminated deterministically or probabilistically by local operations and classical communications (LOCC). On the other hand, any $l$ maximally entangled states from this set are locally distinguishable if $l(l-1)\le 2d$. The explicit projecting measurements are obtained to locally discriminate these states. As an example, we show that four Werner states are locally indistinguishable.
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"abstract": "We show that a set of linearly independent quantum states $\\{(U_{m,n}\\otimes\nI)\\rho ^{AB}(U_{m,n}^{\\dagger}\\otimes I)\\}_{m,n=0}^{d-1}$, where $U_{m,n}$ are\ngeneralized Pauli matrices, cannot be discriminated deterministically or\nprobabilistically by local operations and classical communications (LOCC). On\nthe other hand, any $l$ maximally entangled states from this set are locally\ndistinguishable if $l(l-1)\\le 2d$. The explicit projecting measurements are\nobtained to locally discriminate these states. As an example, we show that four\nWerner states are locally indistinguishable.",
"arxiv_id": "quant-ph/0311026",
"authors": [
"Heng Fan"
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"doi": "10.1103/PhysRevLett.92.177905",
"journal_ref": "Phys.Rev.Lett.92, 177905(2004).",
"title": "Distinguishability and indistinguishability by LOCC",
"url": "https://arxiv.org/abs/quant-ph/0311026"
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