Quantum t-designs: t-wise independence in the quantum world
| dc.creator | Ambainis, Andris | |
| dc.creator | Emerson, Joseph | |
| dc.date | 2007-01-17 | |
| dc.date | 2007-02-06 | |
| dc.date.accessioned | 2026-07-07T07:44:53Z | |
| dc.date.available | 2026-07-07T07:44:53Z | |
| dc.description | A t-design for quantum states is a finite set of quantum states with the property of simulating the Haar-measure on quantum states, w.r.t. any test that uses at most t copies of a state. We give efficient constructions for approximate quantum t-designs for arbitrary t. We then show that an approximate 4-design provides a derandomization of the state-distinction problem considered by Sen (quant-ph/0512085), which is relevant to solving certain instances of the hidden subgroup problem. | |
| dc.description | 19 pages, v2 two references added, to appear in Complexity'06 | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0701126 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0701126 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123361 | |
| dc.subject | Quantum Physics | |
| dc.title | Quantum t-designs: t-wise independence in the quantum world | |
| dc.type | text |