Experimental test of error-disturbance uncertainty relations by weak measurement

Phys Rev Lett. 2014 Jan 17;112(2):020402. doi: 10.1103/PhysRevLett.112.020402. Epub 2014 Jan 15.


We experimentally test the error-disturbance uncertainty relation (EDR) in generalized, strength-variable measurement of a single photon polarization qubit, making use of weak measurement that keeps the initial signal state practically unchanged. We demonstrate that the Heisenberg EDR is violated, yet the Ozawa and Branciard EDRs are valid throughout the range of our measurement strength.