dorsal/arxiv
View SchemaDistinguishability of maximally entangled states
| Authors | Sibasish Ghosh, Guruprasad Kar, Anirban Roy, Debasis Sarkar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205105 |
| URL | https://arxiv.org/abs/quant-ph/0205105 |
| DOI | 10.1103/PhysRevA.70.022304 |
| Journal | Phys. Rev. A 70, 022304 (2004) |
Abstract
In $2 \otimes 2$, more than 2 orthogonal Bell states with single copy can never be discriminated with certainty if only local operations and classical communication (LOCC) are allowed. More than $d$ orthogonal maximally entangled states in $d \otimed d$, which are in cannonical form, used by Bennett et. al. [Phys. Rev. Lett. 70 (1993) 1895] can never be discriminated with certainty when a single copy of the states is provided. Interestingly we show that all orthogonal maximally entangled states, which are in cannonical form, can be discriminated with certainty if and only if two copies of each of the states are provided. The highly nontrivial problem of local discrimination of $d$ or less no. of pairwise orthogonal maximally entangled states in $d \otimes d$ (in single copy case), which are in cannonical form, is also discussed.
{
"annotation_id": "edc0d6c2-a289-4eec-91ef-3805420afaec",
"date_created": "2026-03-02T18:01:51.767000Z",
"date_modified": "2026-03-02T18:01:51.767000Z",
"file_hash": "0037ae0138c7dd4033c07933b06a95e0d19865a8d0ea8ecfb855814f7bd6033f",
"private": false,
"record": {
"abstract": "In $2 \\otimes 2$, more than 2 orthogonal Bell states with single copy can\nnever be discriminated with certainty if only local operations and classical\ncommunication (LOCC) are allowed. More than $d$ orthogonal maximally entangled\nstates in $d \\otimed d$, which are in cannonical form, used by Bennett et. al.\n[Phys. Rev. Lett. 70 (1993) 1895] can never be discriminated with certainty\nwhen a single copy of the states is provided. Interestingly we show that all\northogonal maximally entangled states, which are in cannonical form, can be\ndiscriminated with certainty if and only if two copies of each of the states\nare provided. The highly nontrivial problem of local discrimination of $d$ or\nless no. of pairwise orthogonal maximally entangled states in $d \\otimes d$ (in\nsingle copy case), which are in cannonical form, is also discussed.",
"arxiv_id": "quant-ph/0205105",
"authors": [
"Sibasish Ghosh",
"Guruprasad Kar",
"Anirban Roy",
"Debasis Sarkar"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.022304",
"journal_ref": "Phys. Rev. A 70, 022304 (2004)",
"title": "Distinguishability of maximally entangled states",
"url": "https://arxiv.org/abs/quant-ph/0205105"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2f658dc9-b409-4ff1-aceb-8866aa70337b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}