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Universally Valid Error-Disturbance Relations in Continuous Measurements
Atsushi Nishizawa, Yanbei Chen
In quantum physics, measurement error and disturbance were first naively thought to be simply constrained by the Heisenberg uncertainty relation. Later, more rigorous analysis show…
Weak value amplification and beyond the standard quantum limit in position measurements
Atsushi Nishizawa
In a weak measurement with post-selection, a measurement value, called the weak value, can be amplified beyond the eigenvalues of the observable. However, there are some controvers…
Weak value amplification in a shot-noise limited interferometer
Atsushi Nishizawa, Kouji Nakamura, Masa-Katsu Fujimoto
We study the weak-value amplification (WVA) in a phase measurement with an optical interferometer in which shot noise limits the sensitivity. We compute the signal and the shot noi…
All-order evaluation of weak measurements: --- The cases of an operator which satisfies the property ---
Kouji Nakamura, Atsushi Nishizawa, Masa-Katsu Fujimoto
Some exact formulae of the expectation values and probability densities in a weak measurement for an operator which satisfies the property are derived. Th…