Name
Abstract | ||
|---|---|---|
We construct two sets of incomplete and extendible quantum pure orthogonal product states (POPS) in general bipartite high-dimensional quantum systems, which are all indistinguishable by local operations and classical communication. The first set of POPS is composed of two parts which are $$\\mathcal {C}^m\\otimes \\mathcal {C}^{n_1}$$Cm¿Cn1 with $$5\\le m\\le n_1$$5≤m≤n1 and $$\\mathcal {C}^m\\otimes \\mathcal {C}^{n_2}$$Cm¿Cn2 with $$5\\le m \\le n_2$$5≤m≤n2, where $$n_1$$n1 is odd and $$n_2$$n2 is even. The second one is in $$\\mathcal {C}^m\\otimes \\mathcal {C}^n$$Cm¿Cn$$(m, n\\ge 4)$$(m,n¿4). Some subsets of these two sets can be extended into complete sets that local indistinguishability can be decided by noncommutativity which quantifies the quantumness of a quantum ensemble. Our study shows quantum nonlocality without entanglement. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s11128-017-1616-9 | Quantum Information Processing |
Keywords | Field | DocType |
Pure orthogonal product states,High-dimensional quantum system,Local operations and classical communication,Local indistinguishability,Noncommutativity | Quantum,Quantum nonlocality,Quantum entanglement,Quantum mechanics,Bipartite graph,LOCC,Physics | Journal |
Volume | Issue | ISSN |
16 | 7 | 1570-0755 |
Citations | PageRank | References |
2 | 0.47 | 8 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaoqian Zhang | 1 | 7 | 4.55 |
| Jian Weng | 2 | 1073 | 77.90 |
| Xiaoqing Tan | 3 | 2 | 1.83 |
| Weiqi Luo | 4 | 607 | 40.98 |