Knowledge excess duality and violation of Bell inequalities
| dc.creator | Filip, R. | |
| dc.creator | Gavenda, M. | |
| dc.date | 2004-04-26 | |
| dc.date.accessioned | 2026-07-07T06:09:37Z | |
| dc.date.available | 2026-07-07T06:09:37Z | |
| dc.description | A constraint on two complementary knowledge excesses by maximal violation of Bell inequalities for a single copy of any mixed state of two qubits $S,M$ is analyzed. The complementary knowledge excesses ${\bf ΔK}(Π_{M}\to Π_{S})$ and ${\bf ΔK}(Π'_{M}\to Π'_{S})$ quantify an enhancement of ability to predict results of the complementary projective measurements $Π_{S},Π'_{S}$ on the qubit $S$ from the projective measurements $Π_{M},Π'_{M}$ performed on the qubit $M$. For any state $ρ_{SM}$ and for arbitrary $Π_{S},Π'_{S}$ and $Π_{M},Π'_{M}$, the knowledge excesses satisfy the following inequality ${\bf ΔK}^{2}(Π_{M}\to Π_{S})+{\bf ΔK}^{2} (Π'_{M}\to Π'_{S})\leq (B_{max}/2)^2$, where $B_{max}$ is maximum of violation of Bell inequalities under single-copy local operations (local filtering and unitary transformations). Particularly, for the Bell-diagonal states only an appropriate choice of the measurements $Π_{S},Π'_{S}$ and $Π_{M},Π'_{M}$ are sufficient to saturate the inequality. | |
| dc.description | 5 pages and 1 figure | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0404145 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0404145 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92018 | |
| dc.subject | Quantum Physics | |
| dc.title | Knowledge excess duality and violation of Bell inequalities | |
| dc.type | text |