Table 1 Experimental results of χ for 26 different states being tested.
From: State-independent test of quantum contextuality with either single photons or coherent light
State | χ | SD |
|---|---|---|
\(\left|{{{\Psi }}}_{1}\right\rangle =\left|0\right\rangle\) | 5.866(4) | 513 |
\(\left|{{{\Psi }}}_{2}\right\rangle =\left|1\right\rangle\) | 5.877(3) | 539 |
\(\left|{{{\Psi }}}_{3}\right\rangle =\left|2\right\rangle\) | 5.843(4) | 469 |
\(\left|{{{\Psi }}}_{4}\right\rangle =\left|3\right\rangle\) | 5.875(4) | 532 |
\(\left|{{{\Psi }}}_{5}\right\rangle =(\left|0\right\rangle +\left|1\right\rangle )/\sqrt{2}\) | 5.839(4) | 460 |
\(\left|{{{\Psi }}}_{6}\right\rangle =(\left|0\right\rangle +\left|2\right\rangle )/\sqrt{2}\) | 5.839(4) | 461 |
\(\left|{{{\Psi }}}_{7}\right\rangle =(\left|0\right\rangle +\left|3\right\rangle )/\sqrt{2}\) | 5.856(4) | 493 |
\(\left|{{{\Psi }}}_{8}\right\rangle =(\left|1\right\rangle +\left|2\right\rangle )/\sqrt{2}\) | 5.841(4) | 467 |
\(\left|{{{\Psi }}}_{9}\right\rangle =(\left|1\right\rangle +\left|3\right\rangle )/\sqrt{2}\) | 5.854(4) | 488 |
\(\left|{{{\Psi }}}_{10}\right\rangle =(\left|2\right\rangle +\left|3\right\rangle )/\sqrt{2}\) | 5.856(4) | 491 |
\(\left|{{{\Psi }}}_{11}\right\rangle =(\left|0\right\rangle +\left|1\right\rangle +\left|2\right\rangle )/\sqrt{3}\) | 5.817(4) | 427 |
\(\left|{{{\Psi }}}_{12}\right\rangle =(\left|0\right\rangle +\left|1\right\rangle +\left|3\right\rangle )/\sqrt{3}\) | 5.834(4) | 453 |
\(\left|{{{\Psi }}}_{13}\right\rangle =(\left|0\right\rangle +\left|2\right\rangle +\left|3\right\rangle )/\sqrt{3}\) | 5.824(4) | 438 |
\(\left|{{{\Psi }}}_{14}\right\rangle =(\left|1\right\rangle +\left|2\right\rangle +\left|3\right\rangle )/\sqrt{3}\) | 5.836(4) | 456 |
\(\left|{{{\Psi }}}_{15}\right\rangle =(\left|0\right\rangle +\left|1\right\rangle +\left|2\right\rangle +\left|3\right\rangle )/2\) | 5.863(4) | 507 |
\({\rho }_{16}=(\left|0\right\rangle \left\langle 0\right|+\left|1\right\rangle \left\langle 1\right|)/2\) | 5.819(4) | 432 |
\({\rho }_{17}=(\left|0\right\rangle \left\langle 0\right|+\left|2\right\rangle \left\langle 2\right|)/2\) | 5.832(4) | 450 |
\({\rho }_{18}=(\left|0\right\rangle \left\langle 0\right|+\left|3\right\rangle \left\langle 3\right|)/2\) | 5.833(4) | 451 |
\({\rho }_{19}=(\left|1\right\rangle \left\langle 1\right|+\left|2\right\rangle \left\langle 2\right|)/2\) | 5.813(4) | 421 |
\({\rho }_{20}=(\left|1\right\rangle \left\langle 1\right|+\left|3\right\rangle \left\langle 3\right|)/2\) | 5.800(4) | 406 |
\({\rho }_{21}=(\left|2\right\rangle \left\langle 2\right|+\left|3\right\rangle \left\langle 3\right|)/2\) | 5.823(4) | 436 |
\({\rho }_{22}=(\left|0\right\rangle \left\langle 0\right|+\left|1\right\rangle \left\langle 1\right|+\left|2\right\rangle \left\langle 2\right|)/3\) | 5.825(4) | 440 |
\({\rho }_{23}=(\left|0\right\rangle \left\langle 0\right|+\left|1\right\rangle \left\langle 1\right|+\left|3\right\rangle \left\langle 3\right|)/3\) | 5.827(4) | 443 |
\({\rho }_{24}=(\left|0\right\rangle \left\langle 0\right|+\left|2\right\rangle \left\langle 2\right|+\left|3\right\rangle \left\langle 3\right|)/3\) | 5.814(4) | 425 |
\({\rho }_{25}=(\left|1\right\rangle \left\langle 1\right|+\left|2\right\rangle \left\langle 2\right|+\left|3\right\rangle \left\langle 3\right|)/3\) | 5.813(4) | 421 |
\({\rho }_{26}=\left(\left|0\right\rangle \left\langle 0\right|+\left|1\right\rangle \left\langle 1\right|+\left|2\right\rangle \left\langle 2\right|+\left|3\right\rangle \left\langle 3\right|\right./4\) | 5.784(5) | 387 |
