TY - JOUR
T1 - Alternative fidelity measure between quantum states
AU - Mendonça, Paulo E.M.F.
AU - Napolitano, Reginaldo D.J.
AU - Marchiolli, Marcelo A.
AU - Foster, Christopher J.
AU - Liang, Yeong Cherng
PY - 2008/11/19
Y1 - 2008/11/19
N2 - We propose an alternative fidelity measure (namely, a measure of the degree of similarity) between quantum states and benchmark it against a number of properties of the standard Uhlmann-Jozsa fidelity. This measure is a simple function of the linear entropy and the Hilbert-Schmidt inner product between the given states and is thus, in comparison, not as computationally demanding. It also features several remarkable properties such as being jointly concave and satisfying all of Jozsa's axioms. The trade-off, however, is that it is supermultiplicative and does not behave monotonically under quantum operations. In addition, metrics for the space of density matrices are identified and the joint concavity of the Uhlmann-Jozsa fidelity for qubit states is established.
AB - We propose an alternative fidelity measure (namely, a measure of the degree of similarity) between quantum states and benchmark it against a number of properties of the standard Uhlmann-Jozsa fidelity. This measure is a simple function of the linear entropy and the Hilbert-Schmidt inner product between the given states and is thus, in comparison, not as computationally demanding. It also features several remarkable properties such as being jointly concave and satisfying all of Jozsa's axioms. The trade-off, however, is that it is supermultiplicative and does not behave monotonically under quantum operations. In addition, metrics for the space of density matrices are identified and the joint concavity of the Uhlmann-Jozsa fidelity for qubit states is established.
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U2 - 10.1103/PhysRevA.78.052330
DO - 10.1103/PhysRevA.78.052330
M3 - Article
AN - SCOPUS:56849089768
VL - 78
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 5
M1 - 052330
ER -