Abstract
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.
| Original language | English |
|---|---|
| Article number | 012117 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 89 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2014 Jan 21 |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
Cite this
Determining eigenvalues of a density matrix with minimal information in a single experimental setting. / Tanaka, Tohru; Ota, Yukihiro; Kanazawa, Mitsunori; Kimura, Gen; Nakazato, Hiromichi; Nori, Franco.
In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 89, No. 1, 012117, 21.01.2014.Research output: Contribution to journal › Article
}
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
VL - 89
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 1
M1 - 012117
ER -