Abstract
We discuss the disturbance by measurements which unambiguously discriminate between given candidate states. We prove that such an optimal measurement necessarily changes distinguishable states indistinguishable when the inconclusive outcome is obtained. The result was previously shown by Chefles [Phys. Lett. A 239, 339 (1998)PYLAAG0375-960110.1016/S0375-9601(98)00064-4] under restrictions on the class of quantum measurements and on the definition of optimality. Our theorems remove these restrictions and are also applicable to infinitely many candidate states. Combining with our previous results, one can obtain concrete mathematical conditions for the resulting states. The method may have a wide variety of applications in contexts other than state discrimination.
| Original language | English |
|---|---|
| Article number | 032102 |
| Journal | Physical Review A |
| Volume | 97 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2018 Mar 7 |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
Cite this
Disturbance by optimal discrimination. / Kawakubo, Ryûitirô; Koike, Tatsuhiko.
In: Physical Review A, Vol. 97, No. 3, 032102, 07.03.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Disturbance by optimal discrimination
AU - Kawakubo, Ryûitirô
AU - Koike, Tatsuhiko
PY - 2018/3/7
Y1 - 2018/3/7
N2 - We discuss the disturbance by measurements which unambiguously discriminate between given candidate states. We prove that such an optimal measurement necessarily changes distinguishable states indistinguishable when the inconclusive outcome is obtained. The result was previously shown by Chefles [Phys. Lett. A 239, 339 (1998)PYLAAG0375-960110.1016/S0375-9601(98)00064-4] under restrictions on the class of quantum measurements and on the definition of optimality. Our theorems remove these restrictions and are also applicable to infinitely many candidate states. Combining with our previous results, one can obtain concrete mathematical conditions for the resulting states. The method may have a wide variety of applications in contexts other than state discrimination.
AB - We discuss the disturbance by measurements which unambiguously discriminate between given candidate states. We prove that such an optimal measurement necessarily changes distinguishable states indistinguishable when the inconclusive outcome is obtained. The result was previously shown by Chefles [Phys. Lett. A 239, 339 (1998)PYLAAG0375-960110.1016/S0375-9601(98)00064-4] under restrictions on the class of quantum measurements and on the definition of optimality. Our theorems remove these restrictions and are also applicable to infinitely many candidate states. Combining with our previous results, one can obtain concrete mathematical conditions for the resulting states. The method may have a wide variety of applications in contexts other than state discrimination.
UR - http://www.scopus.com/inward/record.url?scp=85044111199&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85044111199&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.97.032102
DO - 10.1103/PhysRevA.97.032102
M3 - Article
VL - 97
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 3
M1 - 032102
ER -