Optimal purification of a generic -qudit state
G Benenti, G Strini - Physical Review A—Atomic, Molecular, and Optical …, 2009 - APS
G Benenti, G Strini
Physical Review A—Atomic, Molecular, and Optical Physics, 2009•APSWe propose a quantum algorithm for the purification of a generic mixed state ρ of an-qudit
system by using an ancillary n-qudit system. The algorithm is optimal in that (i) the number of
ancillary qudits cannot be reduced,(ii) the number of parameters which determine the
purification state| Ψ⟩ exactly equals the number of degrees of freedom of ρ, and (iii)| Ψ⟩ is
easily determined from the density matrix ρ. Moreover, we introduce a quantum circuit in
which the quantum gates are unitary transformations acting on a 2 n-qudit system. These …
system by using an ancillary n-qudit system. The algorithm is optimal in that (i) the number of
ancillary qudits cannot be reduced,(ii) the number of parameters which determine the
purification state| Ψ⟩ exactly equals the number of degrees of freedom of ρ, and (iii)| Ψ⟩ is
easily determined from the density matrix ρ. Moreover, we introduce a quantum circuit in
which the quantum gates are unitary transformations acting on a 2 n-qudit system. These …
We propose a quantum algorithm for the purification of a generic mixed state of a -qudit system by using an ancillary -qudit system. The algorithm is optimal in that (i) the number of ancillary qudits cannot be reduced, (ii) the number of parameters which determine the purification state exactly equals the number of degrees of freedom of , and (iii) is easily determined from the density matrix . Moreover, we introduce a quantum circuit in which the quantum gates are unitary transformations acting on a -qudit system. These transformations are determined by parameters that can be tuned to generate, once the ancillary qudits are disregarded, any given mixed -qudit state.
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