Hidden Correlations in Indivisible Qudits as a Resource for Quantum Technologies on Examples of Superconducting Circuits

Quantum Fest 2015

Man'Ko, M.A.^1 ; Man'Ko, V.I.^1,2

Lebedev Physical Institute, Leninskii Prospect 53, Moscow

119991, Russia^1

Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow Region

141700, Russia^2

关键词: Density matrix;    Information relations;    Mathematical inequality;    Quantum correlations;    Quantum technologies;    Subadditivity;    Superconducting circuit;    Superconducting qubits;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/698/1/012004/pdf
DOI  :  10.1088/1742-6596/698/1/012004

来源: IOP

【 摘 要 】

We show that the density-matrix states of noncomposite qudit systems satisfy entropic and information relations like the subadditivity condition, strong subadditivity condition, and Araki-Lieb inequality, which characterize hidden quantum correlations of observables associated with these indivisible systems. We derive these relations employing a specific map of the entropic inequalities known for density matrices of multiqudit systems to the inequalities for density matrices of single-qudit systems. We present the obtained relations in the form of mathematical inequalities for arbitrary Hermitian N × N-matrices. We consider examples of superconducting qubits and qudits. We discuss the hidden correlations in single- qudit states as a new resource for quantum technologies analogous to the known resource in correlations associated with the entanglement in multiqudit systems.