TY - JOUR
T1 - Determining eigenvalues of a density matrix with minimal information in a single experimental setting
AU - Tanaka, Tohru
AU - Ota, Yukihiro
AU - Kanazawa, Mitsunori
AU - Kimura, Gen
AU - Nakazato, Hiromichi
AU - Nori, Franco
PY - 2014/1/21
Y1 - 2014/1/21
N2 - Eigenvalues of a density matrix characterize well the quantum state's properties, such as coherence and entanglement. We propose a simple method to determine all the eigenvalues of an unknown density matrix of a finite-dimensional system in a single experimental setting. Without fully reconstructing a quantum state, eigenvalues are determined with the minimal number of parameters obtained by a measurement of a single observable. Moreover, its implementation is illustrated in linear optical and superconducting systems.
AB - Eigenvalues of a density matrix characterize well the quantum state's properties, such as coherence and entanglement. We propose a simple method to determine all the eigenvalues of an unknown density matrix of a finite-dimensional system in a single experimental setting. Without fully reconstructing a quantum state, eigenvalues are determined with the minimal number of parameters obtained by a measurement of a single observable. Moreover, its implementation is illustrated in linear optical and superconducting systems.
UR - http://www.scopus.com/inward/record.url?scp=84894470578&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84894470578&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.89.012117
DO - 10.1103/PhysRevA.89.012117
M3 - Article
AN - SCOPUS:84894470578
SN - 1050-2947
VL - 89
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 1
M1 - 012117
ER -