Erratum: Experimental Test of Entropic Noise-Disturbance Uncertainty Relations for Spin-1/2Measurements [Phys. Rev. Lett.115, 030401 (2015)]

Abstract

This corrects the article DOI: 10.1103/PhysRevLett.115.030401.

Experimental investigation of the stronger uncertainty relations for all incompatible observables

“…to justify the complex structure of the Hilbert space or as a fundamental building block for quantum mechanics and quantum gravity), for studying measurement-induced disturbance [6][7][8][9], for entanglement detection [10][11][12], for security analysis of quantum cryptography [13,14] and so on. Uncertainty relations were tested experimentally with neutronic [15][16][17] and photonic qubits [18][19][20][21][22][23].…”

Uncertainties of genuinely incompatible triple measurements based on statistical distance

“…The entropic uncertainty relations [11][12][13][14][15][16][17][18] and measurement probability based universal uncertainty relations [19][20][21][22][23][24][25], with or without quantum memory, have been extensively investigated. Besides, uncertainty relations based on measurement noise and disturbance have been also derived and experimentally verified [26][27][28][29].…”

Quantum measurement and uncertainty relations in photon polarization

“…To date, experimental evaluation of the measurement error and disturbance in qubit systems has been reported using neutron spin [20,35,36] and photon polarization [ 13,37,38,39,40]. Here, we review our experiments [13,39] in which the measurement error, disturbance and uncertainty relations were examined in generalized, strengthvariable measurement of a single photon polarization.…”

“…Information-theoretic definitions of error, disturbance and EDR in quantum measurements were recently considered by Hofmann [32], Watanabe et al [33], Buscemi et al [6], Coles and Furrer [34], and Sulyok et al [35]. These are based on the information-theoretic quantities, e.g., conditional entropy, that quantify the uncertainty in the estimation (or retrodiction) of the value of original observable from the measurement outcome.…”

“…Recently, a tight relation within the framework of the information-theoretic definition was proposed [35], but its translation to the RMS-based relation is not apparent.…”