The measurement of a wave function plays a pivotal role in quantum physics and presents a
distinctive challenge in experiment. Recent works have shown that both the real and …

Quantum-state tomography is the conventional method used to characterize density
matrices for general quantum states. However, the data acquisition time generally scales …

Sequential weak measurements allow for the direct extraction of individual density-matrix
elements, rather than relying on global reconstruction of the entire density matrix, which …

The wave function is the cornerstone of quantum mechanics, although it is still open to
different interpretations. It has been shown that the amplitude and the phase of a wave …

Direct measurement of wavefunctions has attracted great interest and many different
methods have been developed. However, the precision of current techniques is limited by …

The quantum wave function of multiple particles provides additional information which is
inaccessible to detectors working alone. Here, we introduce the coincidence wave-front …

The time-symmetric formalism endows the weak measurement and its outcome, the weak
value, with many unique features. In particular, it allows a direct tomography of quantum …

Efficient understanding of a quantum system fundamentally relies on the selection of
observables. Pauli observables and mutually unbiased bases (MUBs) are widely used in …

Quantum state tomography strategy via weak value is valid for arbitrary dimensional
systems, and can be easily realized. However, the efficiency of quantum state tomography …

A direct measurement protocol allows reconstructing specific elements of the density matrix
of a quantum state without using quantum state tomography. Until now, most direct …