Bound entangled singlet-like states for quantum metrology
Bipartite entangled quantum states with a positive partial transpose (PPT), i.e., PPT entangled states, are usually considered very weakly entangled. Since no pure entanglement can be distilled from them, they are also called bound entangled. In this paper, we present two classes of (2d×2d)-dimensio...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-05-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.023101 |
| _version_ | 1827285796621647872 |
|---|---|
| author | Károly F. Pál Géza Tóth Erika Bene Tamás Vértesi |
| author_facet | Károly F. Pál Géza Tóth Erika Bene Tamás Vértesi |
| author_sort | Károly F. Pál |
| collection | DOAJ |
| description | Bipartite entangled quantum states with a positive partial transpose (PPT), i.e., PPT entangled states, are usually considered very weakly entangled. Since no pure entanglement can be distilled from them, they are also called bound entangled. In this paper, we present two classes of (2d×2d)-dimensional PPT entangled states for any d≥2 which outperform all separable states in metrology significantly. We present strong evidence that our states provide the maximal metrological gain achievable by PPT states for a given system size. When the dimension d goes to infinity, the metrological gain of these states becomes maximal and equals the metrological gain of a pair of maximally entangled qubits. Thus, we argue that our states could be called “PPT singlets.” |
| first_indexed | 2024-04-24T10:20:35Z |
| format | Article |
| id | doaj.art-85f73b86ec0d4e0785a19641b009ede1 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:20:35Z |
| publishDate | 2021-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-85f73b86ec0d4e0785a19641b009ede12024-04-12T17:09:43ZengAmerican Physical SocietyPhysical Review Research2643-15642021-05-013202310110.1103/PhysRevResearch.3.023101Bound entangled singlet-like states for quantum metrologyKároly F. PálGéza TóthErika BeneTamás VértesiBipartite entangled quantum states with a positive partial transpose (PPT), i.e., PPT entangled states, are usually considered very weakly entangled. Since no pure entanglement can be distilled from them, they are also called bound entangled. In this paper, we present two classes of (2d×2d)-dimensional PPT entangled states for any d≥2 which outperform all separable states in metrology significantly. We present strong evidence that our states provide the maximal metrological gain achievable by PPT states for a given system size. When the dimension d goes to infinity, the metrological gain of these states becomes maximal and equals the metrological gain of a pair of maximally entangled qubits. Thus, we argue that our states could be called “PPT singlets.”http://doi.org/10.1103/PhysRevResearch.3.023101 |
| spellingShingle | Károly F. Pál Géza Tóth Erika Bene Tamás Vértesi Bound entangled singlet-like states for quantum metrology Physical Review Research |
| title | Bound entangled singlet-like states for quantum metrology |
| title_full | Bound entangled singlet-like states for quantum metrology |
| title_fullStr | Bound entangled singlet-like states for quantum metrology |
| title_full_unstemmed | Bound entangled singlet-like states for quantum metrology |
| title_short | Bound entangled singlet-like states for quantum metrology |
| title_sort | bound entangled singlet like states for quantum metrology |
| url | http://doi.org/10.1103/PhysRevResearch.3.023101 |
| work_keys_str_mv | AT karolyfpal boundentangledsingletlikestatesforquantummetrology AT gezatoth boundentangledsingletlikestatesforquantummetrology AT erikabene boundentangledsingletlikestatesforquantummetrology AT tamasvertesi boundentangledsingletlikestatesforquantummetrology |