Figure 2: Example of comparison between our relation (7) and ones (6), (12), (13). | Scientific Reports

Figure 2: Example of comparison between our relation (7) and ones (6), (12), (13).

From: A Stronger Multi-observable Uncertainty Relation

Figure 2

We choose , and three components of the angular momentum for spin-1 particle, and a family of states parametrized by θ and ϕ as . (A) For ϕ = π/4, the comparison between our relation (7) and ones (6), (12), (13). The upper line is the sum of the variances (SV) . The black line is the lower bound (LB) given by our relation (7). The solid green line is the bound (6) (FB). The dashed green line is the bound (12) (PB1). The blue line is the bound (13) (PB2). (B) The comparison between our relation (7) and (6), which shows that our relation (7) (LB) has stronger bound than (6) (FB). (C) The comparison between our relation (7) and (13), which shows that our relation (7) (LB) has stronger bound than (13) (PB2). (D) The lower bound of the relation (6) minus the lower bound of the relation (13).

Back to article page